{"id":36738,"date":"2025-06-15T09:45:07","date_gmt":"2025-06-15T06:15:07","guid":{"rendered":"https:\/\/caeassistant.com\/?p=36738"},"modified":"2026-06-03T13:34:45","modified_gmt":"2026-06-03T10:04:45","slug":"%e5%8e%8b%e7%94%b5%e6%95%88%e5%ba%94%e6%a8%a1%e6%8b%9f","status":"publish","type":"post","link":"https:\/\/dev.caeassistant.com\/zh\/%e5%8d%9a%e5%ae%a2\/%e5%8e%8b%e7%94%b5%e6%95%88%e5%ba%94%e6%a8%a1%e6%8b%9f\/","title":{"rendered":"\u538b\u7535\u6750\u6599\u8be6\u89e3 | \u5b83\u4eec\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u4eec\u5982\u4f55\u5de5\u4f5c"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p style=\"text-align: justify;\" data-start=\"79\" data-end=\"343\"><span style=\"font-size: 14pt;\">\u4f60\u6709\u6ca1\u6709\u60f3\u8fc7\u4e3a\u4ec0\u4e48\u77f3\u82f1\u6676\u4f53\u53ea\u8981\u88ab\u6309\u538b\u5c31\u80fd\u4ea7\u751f\u7535\u6d41\uff1f\u8fd9\u4e0d\u662f\u9b54\u6cd5\u2014\u2014\u8fd9\u662f\u538b\u7535\u6548\u5e94\uff0c\u4e00\u79cd\u5b58\u5728\u4e8e\u7279\u5b9a\u6750\u6599\u4e2d\u7684\u771f\u5b9e\u7269\u7406\u73b0\u8c61\uff0c\u5b83\u53ef\u4ee5\u5c06\u673a\u68b0\u5e94\u529b\u8f6c\u5316\u4e3a\u7535\u80fd\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"345\" data-end=\"716\"><span style=\"font-size: 14pt;\">\u8fd9\u4e9b\u6750\u6599\u5e76\u975e\u4ec5\u4ec5\u662f\u7406\u8bba\u4e0a\u7684\u5947\u7279\u6982\u5ff5\uff0c\u5b83\u4eec\u5e7f\u6cdb\u5e94\u7528\u4e8e\u65e5\u5e38\u6280\u672f\u4e2d\uff0c\u4ece\u533b\u7528\u8d85\u58f0\u8bbe\u5907\u3001\u98de\u673a\u4f20\u611f\u5668\u5230\u571f\u6728\u5de5\u7a0b\u7ed3\u6784\u4e2d\u7684\u80fd\u91cf\u6536\u96c6\u7cfb\u7edf\uff0c\u65e0\u6240\u4e0d\u5305\u3002\u7406\u89e3\u538b\u7535\u6548\u5e94\u7684\u5de5\u4f5c\u539f\u7406\u2014\u2014\u5c24\u5176\u662f\u5076\u6781\u5b50\u6392\u5217\u7684\u4f5c\u7528\u548c\u6750\u6599\u5bf9\u79f0\u6027\u7684\u91cd\u8981\u6027\u2014\u2014\u662f\u5145\u5206\u53d1\u6325\u5176\u6027\u80fd\u7684\u5173\u952e\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"718\" data-end=\"1097\"><span style=\"font-size: 14pt;\">\u5728\u672c\u535a\u5ba2\u4e2d\uff0c\u6211\u4eec\u5c06\u63a2\u7d22\u538b\u7535\u6750\u6599\u80cc\u540e\u7684\u79d1\u5b66\u539f\u7406\uff0c\u5e76\u5c55\u793a\u5982\u4f55\u4f7f\u7528 Abaqus \u6a21\u62df\u5176\u884c\u4e3a\u3002\u6211\u4eec\u5c06\u6db5\u76d6\u4ece\u7269\u7406\u539f\u7406\u548c\u6750\u6599\u7c7b\u578b\u5230\u5efa\u6a21\u548c\u5206\u6790\u7684\u5206\u6b65\u6307\u5357\u7b49\u6240\u6709\u5185\u5bb9\u3002\u65e0\u8bba\u60a8\u662f\u5de5\u7a0b\u5e08\u8fd8\u662f\u7814\u7a76\u4eba\u5458\uff0c\u672c\u6307\u5357\u65e8\u5728\u5e2e\u52a9\u60a8\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u8fd0\u7528\u538b\u7535\u5206\u6790\u3002.<\/span><\/p>\n<h2><span style=\"color: #ff6600;\"><strong>Introduction to Piezoelectricity | Piezoelectric Definition<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u6548\u5e94\u662f\u6307\u67d0\u4e9b\u6750\u6599\u5728\u53d7\u5230\u673a\u68b0\u5e94\u529b\u65f6\u4ea7\u751f\u7535\u8377\uff0c\u53cd\u4e4b\uff0c\u5728\u7535\u573a\u4f5c\u7528\u4e0b\u53d1\u751f\u673a\u68b0\u5f62\u53d8\u7684\u80fd\u529b\u3002\u8fd9\u79cd\u673a\u68b0\u548c\u7535\u5b66\u9886\u57df\u4e4b\u95f4\u72ec\u7279\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u63a8\u52a8\u4e86\u79d1\u5b66\u548c\u5de5\u7a0b\u9886\u57df\u4f17\u591a\u521b\u65b0\u6210\u679c\u7684\u6d8c\u73b0\u3002.<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-36739 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/SchemaPiezo.gif\" alt=\"\u538b\u7535\" width=\"256\" height=\"256\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/SchemaPiezo.gif 256w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/SchemaPiezo-62x62.gif 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/SchemaPiezo-150x150.gif 150w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe1\uff1a\u5728\u538b\u7535\u6750\u6599\u4e2d\u4ea7\u751f\u7535\u8377<\/p>\n<h3><span style=\"font-size: 14.0pt;\">History and Discovery<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u6548\u5e94\u6700\u65e9\u7531\u96c5\u514b\u00b7\u5c45\u91cc\u548c\u76ae\u57c3\u5c14\u00b7\u5c45\u91cc\u4e8e1880\u5e74\u53d1\u73b0\u3002\u4ed6\u4eec\u89c2\u5bdf\u5230\uff0c\u5bf9\u67d0\u4e9b\u6676\u4f53\uff08\u4f8b\u5982\u77f3\u82f1\uff09\u65bd\u52a0\u538b\u529b\u4f1a\u4ea7\u751f\u7535\u52bf\u3002\u8fd9\u4e00\u53d1\u73b0\u4e3a\u73b0\u4ee3\u538b\u7535\u4f20\u611f\u5668\u3001\u81f4\u52a8\u5668\u548c\u80fd\u91cf\u6536\u96c6\u7cfb\u7edf\u5960\u5b9a\u4e86\u57fa\u7840\u3002.<\/span><\/p>\n<h3><span style=\"font-size: 14.0pt;\">How Does Piezoelectricity Work?<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u672a\u7ecf\u5904\u7406\u7684\u538b\u7535\u6750\u6599\u5185\u90e8\u5305\u542b\u968f\u673a\u5206\u5e03\u7684\u7535\u5076\u6781\u5b50\u6216\u5fae\u5c0f\u7535\u8377\u3002\u7531\u4e8e\u8fd9\u4e9b\u5076\u6781\u5b50\u7684\u53d6\u5411\u5404\u5f02\uff0c\u5b83\u4eec\u76f8\u4e92\u62b5\u6d88\uff0c\u56e0\u6b64\u6750\u6599\u5185\u90e8\u6ca1\u6709\u51c0\u7535\u8377\u3002\u7136\u800c\uff0c\u5f53\u65bd\u52a0\u76f4\u6d41\u7535\u573a\uff08\u8fd9\u4e00\u8fc7\u7a0b\u79f0\u4e3a\u6781\u5316\uff09\u65f6\uff0c\u7535\u573a\u4f1a\u8feb\u4f7f\u8fd9\u4e9b\u5076\u6781\u5b50\u6cbf\u7edf\u4e00\u65b9\u5411\u6392\u5217\u3002\u8fd9\u79cd\u6392\u5217\u4f7f\u5f97\u6750\u6599\u5185\u90e8\u4ea7\u751f\u51c0\u7535\u8377\u3002. <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4ee4\u4eba\u7740\u8ff7\u7684\u662f\uff0c\u5373\u4f7f\u7535\u573a\u79fb\u9664\u540e\uff0c\u5076\u6781\u5b50\u4e5f\u4e0d\u4f1a\u5b8c\u5168\u6062\u590d\u5230\u6700\u521d\u7684\u968f\u673a\u53d6\u5411\u3002\u4e00\u90e8\u5206\u5076\u6781\u5b50\u4ecd\u7136\u4fdd\u6301\u6392\u5217\u72b6\u6001\uff0c\u8fd9\u88ab\u79f0\u4e3a\u5269\u4f59\u6781\u5316\u3002\u6b63\u662f\u8fd9\u4e00\u7279\u6027\u4f7f\u5f97\u538b\u7535\u6750\u6599\u5728\u53d7\u5230\u673a\u68b0\u5e94\u529b\u65f6\uff0c\u5373\u4f7f\u5728\u6ca1\u6709\u5916\u90e8\u7535\u573a\u7684\u60c5\u51b5\u4e0b\u4e5f\u80fd\u4ea7\u751f\u7535\u80fd\u3002.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-36742 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation.jpg\" alt=\"\u5076\u6781\u5b50\u7684\u65b9\u5411\" width=\"577\" height=\"312\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation.jpg 577w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation-300x162.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation-430x233.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation-62x34.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Dipoles-orientation-150x81.jpg 150w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 2\uff1a\u5076\u6781\u5b50\u7684\u65b9\u5411 [<a href=\"https:\/\/www.researchgate.net\/figure\/Poling-process-for-a-general-ferroelectric-material-1-before-polarization-2-the_fig3_354811333\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u603b\u4e4b\uff1a<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6781\u5316\u524d\uff1a\u5076\u6781\u5b50\u65b9\u5411\u968f\u673a\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6781\u5316\u8fc7\u7a0b\u4e2d\uff1a\u76f4\u6d41\u7535\u573a\u4f7f\u5076\u6781\u5b50\u6392\u5217\u6574\u9f50\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6781\u5316\u540e\uff1a\u90e8\u5206\u5076\u6781\u5b50\u4ecd\u4fdd\u6301\u6392\u5217\u65b9\u5411\uff0c\u4ece\u800c\u4ea7\u751f\u5269\u4f59\u6781\u5316\u3002\u8fd9\u79cd\u73b0\u8c61\u662f\u538b\u7535\u6548\u5e94\u7684\u57fa\u7840\uff0c\u4f7f\u6750\u6599\u80fd\u591f\u5728\u5e94\u529b\u4f5c\u7528\u4e0b\u4ea7\u751f\u7535\u80fd\u3002.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u73b0\u5728\u7684\u95ee\u9898\u662f\uff1a\u6750\u6599\u8981\u8868\u73b0\u51fa\u538b\u7535\u7279\u6027\uff0c\u662f\u5426\u5fc5\u987b\u8fdb\u884c\u6781\u5316\u5904\u7406\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u591a\u6676\u538b\u7535\u9676\u74f7\uff08\u4f8b\u5982PZT\uff09\u9700\u8981\u6781\u5316\u624d\u80fd\u5c55\u73b0\u538b\u7535\u7279\u6027\uff0c\u800c\u5355\u6676\u6750\u6599\uff08\u4f8b\u5982\u77f3\u82f1\uff09\u5929\u7136\u5177\u6709\u6392\u5217\u6709\u5e8f\u7684\u5076\u6781\u5b50\uff0c\u65e0\u9700\u6781\u5316\u3002\u56e0\u6b64\uff0c\u5408\u6210\u538b\u7535\u6750\u6599\uff08\u4f8b\u5982\u9676\u74f7\u548c\u805a\u5408\u7269\uff09\u901a\u5e38\u9700\u8981\u7ecf\u8fc7\u79f0\u4e3a\u6781\u5316\u7684\u8fc7\u7a0b\u624d\u80fd\u4ea7\u751f\u538b\u7535\u884c\u4e3a\u3002\u5929\u7136\u538b\u7535\u6750\u6599\uff08\u4f8b\u5982\u77f3\u82f1\uff09\u5219\u65e0\u9700\u6781\u5316\u3002.<\/span><\/p>\n<h3><span style=\"font-size: 14.0pt;\">The Piezoelectric Effect<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u6750\u6599\u4e3b\u8981\u8868\u73b0\u51fa\u4e24\u79cd\u6548\u5e94\uff1a<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6b63\u538b\u7535\u6548\u5e94\u662f\u6307\u65bd\u52a0\u673a\u68b0\u5e94\u529b\u65f6\u4ea7\u751f\u7684\u7535\u8377\u6548\u5e94\uff0c\u800c\u9006\u538b\u7535\u6548\u5e94\u662f\u6307\u65bd\u52a0\u7535\u573a\u65f6\u6750\u6599\u53d1\u751f\u7269\u7406\u5f62\u72b6\u53d8\u5316\u7684\u6548\u5e94\u3002.<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u76f4\u63a5\u6548\u5e94<\/strong>\u673a\u68b0\u5e94\u529b\u2192\u7535\u8377\u3002\u8fd9\u79cd\u6548\u5e94\u5e38\u7528\u4e8e\u4f20\u611f\u5668\u548c\u80fd\u91cf\u6536\u96c6\u5668\u4e2d\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u53cd\u5411\u6548\u5e94<\/strong>\u7535\u573a\u2192\u673a\u68b0\u5f62\u53d8\u3002\u4e3b\u8981\u7528\u4e8e\u81f4\u52a8\u5668\u548c\u7cbe\u5bc6\u8fd0\u52a8\u88c5\u7f6e\u3002.<\/span><\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-36745\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects.png\" alt=\"\u538b\u7535\u6548\u5e94\" width=\"556\" height=\"366\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects.png 591w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects-300x197.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects-430x283.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects-62x41.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-effects-150x99.png 150w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 3\uff1a\u538b\u7535\u6548\u5e94 [<a href=\"https:\/\/www.researchgate.net\/figure\/Direct-and-converse-piezoelectric-effect_fig2_329228323\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<h2><span style=\"color: #ff6600;\">Materials Exhibiting Piezoelectric Properties<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u6676\u4f53\u53ef\u4ee5\u662f\u5929\u7136\u7684\uff0c\u4e5f\u53ef\u4ee5\u662f\u5408\u6210\u7684\uff0c\u5408\u6210\u7684\u538b\u7535\u6676\u4f53\u53c8\u5206\u4e3a\u4e09\u7c7b\uff1a\u805a\u5408\u7269\u3001\u590d\u5408\u6750\u6599\u548c\u9676\u74f7\u3002\u77f3\u82f1\u3001PZT\u548cPVDF\u662f\u4f17\u6240\u5468\u77e5\u7684\u538b\u7535\u6750\u6599\u3002.\u00a0<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u77f3\u82f1<\/strong>\u5929\u7136\u6676\u4f53\uff0c\u7a33\u5b9a\u4e14\u7cbe\u786e\uff0c\u4f46\u538b\u7535\u54cd\u5e94\u8f83\u5f31\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>PZT\uff08\u9506\u949b\u9178\u94c5\uff09<\/strong>\uff1a\u4e00\u79cd\u5e94\u7528\u5e7f\u6cdb\u7684\u9676\u74f7\uff0c\u5177\u6709\u5f88\u5f3a\u7684\u538b\u7535\u6548\u5e94\uff0c\u662f\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\u7684\u7406\u60f3\u6750\u6599\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>PVDF\uff08\u805a\u504f\u4e8c\u6c1f\u4e59\u70ef\uff09<\/strong>\uff1a\u4e00\u79cd\u7528\u4e8e\u751f\u7269\u533b\u5b66\u548c\u53ef\u7a7f\u6234\u8bbe\u5907\u7684\u67d4\u6027\u805a\u5408\u7269\u3002.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36746 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category.jpg\" alt=\"\u538b\u7535\u6750\u6599\u7c7b\u522b\" width=\"640\" height=\"379\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category.jpg 640w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category-300x178.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category-430x255.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category-62x37.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category-600x355.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-material-category-150x89.jpg 150w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 4\uff1a\u538b\u7535\u6750\u6599\u7c7b\u522b [<a href=\"https:\/\/www.mdpi.com\/2076-0825\/12\/12\/457\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<h2><span style=\"color: #ff6600;\"><strong>Applications of Piezoelectric Materials in Industry<\/strong><\/span><\/h2>\n<p><span style=\"font-size: 14pt;\">\u538b\u7535\u6750\u6599\u80fd\u591f\u9ad8\u7cbe\u5ea6\u5730\u5728\u673a\u68b0\u80fd\u548c\u7535\u80fd\u4e4b\u95f4\u8fdb\u884c\u8f6c\u6362\uff0c\u56e0\u6b64\u6b63\u5728\u6539\u53d8\u5404\u4e2a\u884c\u4e1a\u3002.<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u822a\u7a7a\u822a\u5929\u548c\u673a\u68b0\u5de5\u7a0b\uff1a\u7528\u4e8e\u632f\u52a8\u63a7\u5236\u3001\u7ed3\u6784\u5065\u5eb7\u76d1\u6d4b\u548c\u81ea\u9002\u5e94\u7ed3\u6784\u3002.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36747 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures.webp\" alt=\"\u98de\u673a\u7ed3\u6784\u51b2\u51fb\u76d1\u6d4b\" width=\"550\" height=\"338\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures.webp 550w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures-300x184.webp 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures-430x264.webp 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures-62x38.webp 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Impact-monitoring-of-aircraft-structures-150x92.webp 150w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 5\uff1a\u98de\u673a\u7ed3\u6784\u51b2\u51fb\u76d1\u6d4b [<span style=\"color: #0000ff;\">\u53c2\u8003<\/span>]<\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\uff1a\u5e38\u89c1\u4e8e MEMS\u3001\u673a\u5668\u4eba\u3001\u6c7d\u8f66\u4f20\u611f\u5668\u548c\u89e6\u89c9\u53cd\u9988\u8bbe\u5907\u3002.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36748 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance.webp\" alt=\"\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\u6027\u80fd\" width=\"586\" height=\"293\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance.webp 586w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance-300x150.webp 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance-430x215.webp 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance-62x31.webp 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-performance-150x75.webp 150w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 6\uff1a\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\u6027\u80fd<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36749\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison.png\" alt=\"\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\u6bd4\u8f83\" width=\"792\" height=\"439\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison.png 961w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-300x166.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-430x238.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-768x426.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-62x34.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-600x333.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-725x402.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Sensor-and-actuator-comparison-150x83.png 150w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 7\uff1a\u4f20\u611f\u5668\u548c\u6267\u884c\u5668\u5bf9\u6bd4<\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u533b\u7597\u5668\u68b0\uff1a\u5e7f\u6cdb\u5e94\u7528\u4e8e\u8d85\u58f0\u6ce2\u6362\u80fd\u5668\u3001\u52a9\u542c\u5668\u548c\u5fae\u578b\u6cf5\u3002\u5728\u8840\u538b\u6d4b\u91cf\u4e2d\uff0c\u538b\u7535\u4f20\u611f\u5668\u80fd\u591f\u68c0\u6d4b\u52a8\u8109\u5185\u7684\u538b\u529b\u53d8\u5316\uff0c\u63d0\u4f9b\u6781\u5176\u7cbe\u786e\u7684\u8bfb\u6570\u3002\u5b83\u4eec\u8fd8\u7528\u4e8e\u8109\u640f\u68c0\u6d4b\uff0c\u53ef\u4ee5\u8ffd\u8e2a\u5fc3\u8df3\u5e76\u63d0\u4f9b\u7cbe\u786e\u7684\u5b9e\u65f6\u8109\u640f\u6570\u636e\u3002.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36750\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection.jpg\" alt=\"\u7528\u4e8e\u8109\u640f\u68c0\u6d4b\u7684\u538b\u7535\u4f20\u611f\u5668\" width=\"588\" height=\"296\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection.jpg 640w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection-300x151.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection-430x216.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection-62x31.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection-600x302.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Piezoelectric-sensor-for-pulse-detection-150x75.jpg 150w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 8\uff1a\u7528\u4e8e\u8109\u640f\u68c0\u6d4b\u7684\u538b\u7535\u4f20\u611f\u5668 [<a href=\"https:\/\/www.mdpi.com\/1424-8220\/20\/3\/851\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u571f\u6728\u4e0e\u751f\u7269\u533b\u5b66\u5de5\u7a0b\uff1a\u5e94\u7528\u4e8e\u667a\u80fd\u7ed3\u6784\u3001\u751f\u7269\u4f20\u611f\u548c\u80fd\u91cf\u91c7\u96c6\u7cfb\u7edf\u3002\u538b\u7535\u6750\u6599\u662f\u571f\u6728\u5de5\u7a0b\u7ed3\u6784\u5065\u5eb7\u76d1\u6d4b\u9886\u57df\u7684\u4e00\u9879\u9769\u547d\u6027\u6280\u672f\u3002\u5b83\u4eec\u88ab\u7528\u4e8e\u5b9e\u65f6\u76d1\u6d4b\u6865\u6881\u3001\u5efa\u7b51\u7269\u548c\u6c34\u575d\u7b49\u7ed3\u6784\u3002\u8fd9\u4e9b\u6750\u6599\u5728\u53d7\u529b\u65f6\u4f1a\u4ea7\u751f\u7535\u8377\uff0c\u56e0\u6b64\u975e\u5e38\u9002\u5408\u68c0\u6d4b\u7ed3\u6784\u5b8c\u6574\u6027\u7684\u53d8\u5316\u3002.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36752\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure.jpg\" alt=\"\u571f\u6728\u5de5\u7a0b\u7ed3\u6784\u7684\u7ed3\u6784\u5065\u5eb7\u76d1\u6d4b\" width=\"820\" height=\"533\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure.jpg 1363w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-300x195.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-1024x666.jpg 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-430x280.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-768x499.jpg 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-62x40.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-600x390.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-725x471.jpg 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Structural-Health-Monitoring-of-Civil-Engineering-Structure-150x98.jpg 150w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 9\uff1a\u571f\u6728\u5de5\u7a0b\u7ed3\u6784\u7684\u7ed3\u6784\u5065\u5eb7\u76d1\u6d4b [<span style=\"color: #0000ff;\">\u53c2\u8003<\/span>]<\/p>\n<h2><span style=\"color: #ff6600;\"><strong>Fundamental Theories and Formulas<\/strong><\/span><\/h2>\n<p><span style=\"font-size: 14pt;\">\u7406\u89e3\u538b\u7535\u884c\u4e3a\u9700\u8981\u6750\u6599\u79d1\u5b66\u548c\u673a\u7535\u8026\u5408\u65b9\u9762\u7684\u57fa\u7840\u77e5\u8bc6\u3002.<\/span><\/p>\n<h3><span style=\"font-size: 14.0pt;\">Crystallography and Symmetry<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u6548\u5e94\u6e90\u4e8e\u67d0\u4e9b\u6750\u6599\u7684\u6676\u4f53\u7ed3\u6784\u548c\u5bf9\u79f0\u6027\u3002\u6676\u4f53\u5b66\uff0c\u5373\u7814\u7a76\u6676\u4f53\u4e2d\u539f\u5b50\u6392\u5217\u7684\u5b66\u79d1\uff0c\u662f\u7406\u89e3\u4e3a\u4f55\u53ea\u6709\u7279\u5b9a\u7ed3\u6784\u624d\u4f1a\u8868\u73b0\u51fa\u538b\u7535\u884c\u4e3a\u7684\u5173\u952e\u3002\u81f3\u5173\u91cd\u8981\u7684\u662f\uff0c\u6750\u6599\u5fc5\u987b\u7f3a\u4e4f\u5bf9\u79f0\u4e2d\u5fc3\u624d\u80fd\u4ea7\u751f\u538b\u7535\u6548\u5e94\u2014\u2014\u8fd9\u79cd\u7ed3\u6784\u4e0d\u5bf9\u79f0\u6027\u4f7f\u5f97\u6750\u6599\u5728\u53d7\u5230\u673a\u68b0\u5e94\u529b\u65f6\u80fd\u591f\u4ea7\u751f\u7535\u8377\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u4e9b\u975e\u4e2d\u5fc3\u5bf9\u79f0\u6676\u4f53\u7684\u5404\u5411\u5f02\u6027\u610f\u5473\u7740\u5b83\u4eec\u7684\u538b\u7535\u54cd\u5e94\u968f\u65b9\u5411\u800c\u53d8\u5316\uff0c\u56e0\u6b64\u5bf9\u79f0\u6027\u5206\u6790\u5bf9\u4e8e\u9884\u6d4b\u5176\u6027\u80fd\u81f3\u5173\u91cd\u8981\u3002\u4f8b\u5982\uff0cPbTiO\u2083\uff08\u949b\u9178\u94c5\uff09\u548cPZT\uff08\u9506\u949b\u9178\u94c5\uff09\u7b49\u6750\u6599\u4e2d\u542b\u6709\u94c5\uff08Pb\uff09\u3001\u6c27\uff08O\uff09\u3001\u949b\uff08Ti\uff09\u548c\u9506\uff08Zr\uff09\u7b49\u539f\u5b50\uff0c\u8fd9\u4e9b\u539f\u5b50\u7684\u6392\u5217\u65b9\u5f0f\u6253\u7834\u4e86\u53cd\u6f14\u5bf9\u79f0\u6027\uff0c\u4ece\u800c\u8d4b\u4e88\u4e86\u5b83\u4eec\u538b\u7535\u7279\u6027\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36753 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials.jpg\" alt=\"\u538b\u7535\u6750\u6599\u7684\u6676\u4f53\u5b66\u548c\u975e\u5bf9\u79f0\u6027\" width=\"640\" height=\"202\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials.jpg 640w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials-300x95.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials-430x136.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials-62x20.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials-600x189.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Crystallography-and-nonsymmetric-of-piezoelectric-materials-150x47.jpg 150w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 10\uff1a\u538b\u7535\u6750\u6599\u7684\u6676\u4f53\u5b66\u548c\u975e\u5bf9\u79f0\u6027<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5c45\u91cc\u70b9\uff0c\u901a\u5e38\u4e5f\u79f0\u4e3a\u5c45\u91cc\u6e29\u5ea6\uff0c\u662f\u6307\u94c1\u7535\u6216\u538b\u7535\u6750\u6599\u4e0d\u518d\u8868\u73b0\u51fa\u538b\u7535\u7279\u6027\u7684\u6e29\u5ea6\u3002\u4f4e\u4e8e\u79f0\u4e3a\u5c45\u91cc\u70b9\u7684\u4e34\u754c\u6e29\u5ea6\u65f6\uff0c\u5177\u6709\u9499\u949b\u77ff\u6676\u4f53\u7ed3\u6784\u7684\u6750\u6599\u4f1a\u8868\u73b0\u51fa\u5076\u6781\u77e9\u3002\u4f8b\u5982\uff0c\u5728PZT\u4e2d\uff08\u53c2\u89c1\u56fe10\u53f3\u4fa7\uff09\uff0c\u7531\u4e8eZr\u2074\u207a\u6216Ti\u2074\u207a\u9633\u79bb\u5b50\u504f\u79bb\u4e2d\u5fc3\u4f4d\u7f6e\uff0c\u8be5\u6750\u6599\u8868\u73b0\u51fa\u8f83\u5c0f\u7684\u5076\u6781\u77e9\u3002\u5f53\u6e29\u5ea6\u8d85\u8fc7\u5c45\u91cc\u70b9\u65f6\uff0c\u6750\u6599\u5448\u73b0\u7b80\u5355\u7684\u7acb\u65b9\u5bf9\u79f0\u6027\uff0c\u5bfc\u81f4\u5076\u6781\u77e9\u6d88\u5931\uff08\u53c2\u89c1\u56fe10\u5de6\u4fa7\uff09\u3002.<\/span><\/p>\n<h3><span style=\"font-size: 14.0pt;\">Basic Constitutive Equations<\/span><\/h3>\n<p><span style=\"font-size: 14pt;\">\u538b\u7535\u6750\u6599\u7684\u673a\u7535\u884c\u4e3a\u53ef\u4ee5\u7528\u4e00\u7ec4\u8026\u5408\u7684\u672c\u6784\u65b9\u7a0b\u6765\u63cf\u8ff0\u3002\u8fd9\u79cd\u8026\u5408\u5173\u7cfb\u7528\u77e9\u9635\u5f62\u5f0f\u8868\u793a\u4e3a\uff1a<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36754\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154.png\" alt=\"\" width=\"421\" height=\"100\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154.png 573w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154-300x71.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154-430x102.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154-62x15.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164154-150x36.png 150w\" sizes=\"(max-width: 421px) 100vw, 421px\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u54ea\u91cc\uff1a<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36755\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164509.png\" alt=\"\" width=\"37\" height=\"28\">\u00a0\u5e94\u529b\u5f20\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36756\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164524.png\" alt=\"\" width=\"27\" height=\"27\">\u00a0= \u7535\u4f4d\u79fb\u77e2\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36757\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png\" alt=\"\" width=\"55\" height=\"30\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png 82w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537-62x34.png 62w\" sizes=\"(max-width: 55px) 100vw, 55px\" \/>\u00a0= \u5f39\u6027\u521a\u5ea6\u5f20\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36758\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png\" alt=\"\" width=\"46\" height=\"29\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png 72w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549-62x39.png 62w\" sizes=\"(max-width: 46px) 100vw, 46px\" \/>\u00a0= \u538b\u7535\u8026\u5408\u5f20\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36759\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164600.png\" alt=\"\" width=\"42\" height=\"31\">\u00a0= \u5e94\u53d8\u5f20\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36760\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164613.png\" alt=\"\" width=\"26\" height=\"32\">\u00a0= \u7535\u573a\u77e2\u91cf<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36761\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164625.png\" alt=\"\" width=\"35\" height=\"29\">\u00a0= \u4ecb\u7535\u5e38\u6570\u5f20\u91cf<\/span><\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\">i,j,k,l=1,2,3\uff0c\u5bf9\u5e94\u4e8e 3 \u4e2a\u7a7a\u95f4\u7ef4\u5ea6\uff08x\u3001y\u3001z \u6216 1\u30012\u30013\uff09\u3002.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u79cd\u7d27\u51d1\u7684\u77e9\u9635\u8868\u793a\u7a81\u51fa\u4e86\u538b\u7535\u6750\u6599\u4e2d\u673a\u68b0\u57df\u548c\u7535\u57df\u4e4b\u95f4\u7684\u56fa\u6709\u8026\u5408\u3002\u5176\u884c\u4e3a\u7531\u4e09\u4e2a\u57fa\u672c\u5f20\u91cf\u63a7\u5236\uff1a<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u5f39\u6027\u521a\u5ea6\u5f20\u91cf\uff08<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36757\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png\" alt=\"\" width=\"55\" height=\"30\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png 82w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537-62x34.png 62w\" sizes=\"(max-width: 55px) 100vw, 55px\" \/><strong>)<\/strong>:<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5e94\u529b\u4e0e\u5e94\u53d8\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5b83\u8868\u5f81\u4e86\u6750\u6599\u62b5\u6297\u53d8\u5f62\u7684\u80fd\u529b\uff0c\u5e76\u5728\u786e\u5b9a\u5176\u5728\u8f7d\u8377\u4f5c\u7528\u4e0b\u7684\u529b\u5b66\u54cd\u5e94\u65b9\u9762\u8d77\u7740\u81f3\u5173\u91cd\u8981\u7684\u4f5c\u7528\u3002.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\"><strong>\u538b\u7535\u8026\u5408\u5f20\u91cf\uff08<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36758\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png\" alt=\"\" width=\"46\" height=\"29\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png 72w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549-62x39.png 62w\" sizes=\"(max-width: 46px) 100vw, 46px\" \/>\u200b<strong>)<\/strong>: <\/span><br \/>\n<span style=\"font-size: 14pt;\">\u63cf\u8ff0\u4e86\u673a\u68b0\u5e94\u53d8\u5982\u4f55\u4ea7\u751f\u7535\u573a\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002\u5b83\u91cf\u5316\u4e86\u6750\u6599\u7684\u673a\u7535\u8f6c\u6362\u6548\u7387\u3002.<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><strong>\u4ecb\u7535\u5e38\u6570\u5f20\u91cf\uff08<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36761\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164625.png\" alt=\"\" width=\"35\" height=\"29\"><strong>\u200b<\/strong><strong>)<\/strong>: <\/span><br \/>\n<span style=\"font-size: 14pt;\">\u5b83\u5c06\u7535\u573a\u4e0e\u7535\u4f4d\u79fb\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u8868\u5f81\u6750\u6599\u5728\u7535\u573a\u4f5c\u7528\u4e0b\u53d1\u751f\u6781\u5316\u7684\u80fd\u529b\u3002\u4f5c\u4e3a\u4e00\u4e2a\u5f20\u91cf\uff0c\u5b83\u89e3\u91ca\u4e86\u6750\u6599\u4ecb\u7535\u884c\u4e3a\u7684\u65b9\u5411\u4f9d\u8d56\u6027\u3002.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u7406\u89e3\u5e76\u51c6\u786e\u5efa\u6a21\u8fd9\u4e9b\u672c\u6784\u5173\u7cfb\u5bf9\u4e8e\u8bbe\u8ba1\u9ad8\u6548\u7684\u538b\u7535\u5668\u4ef6\uff08\u5982\u4f20\u611f\u5668\u3001\u81f4\u52a8\u5668\u548c\u80fd\u91cf\u6536\u96c6\u5668\uff09\u81f3\u5173\u91cd\u8981\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"font-size: 14pt;\">\u5982\u9700\u8be6\u7ec6\u6b65\u9aa4\u8bf4\u660e\uff0c\u60a8\u53ef\u4ee5\u53c2\u8003\u6211\u4eec\u63d0\u4f9b\u7684\u5b8c\u6574\u6559\u7a0b\u5305\u3002 <a href=\"https:\/\/caeassistant.com\/product\/piezoelectric-simulation-in-abaqus-2\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u8fd9\u91cc<\/span><\/a>.<\/span><\/strong><\/p>\n<h3><span style=\"font-size: 14.0pt;\">Material Property Specification<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4ee5\u4e0b\u6750\u6599\u5c5e\u6027\u89c4\u8303\u6982\u8ff0\u4e86\u538b\u7535\u884c\u4e3a\u5efa\u6a21\u548c\u4eff\u771f\u6240\u9700\u7684\u5173\u952e\u7269\u7406\u5e38\u6570\u3002\u8fd9\u4e9b\u5c5e\u6027\u5305\u62ec\uff1a<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5f39\u6027\u5e38\u6570\uff08\u4f8b\u5982\uff0c\u6768\u6c0f\u6a21\u91cf\u3001\u6cca\u677e\u6bd4\uff09<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u538b\u7535\u5e38\u6570\uff08\u4f8b\u5982\uff0c\u63cf\u8ff0\u673a\u68b0\u5e94\u53d8\u548c\u7535\u573a\u4e4b\u95f4\u8026\u5408\u7684\u538b\u7535\u5e38\u6570\uff09<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4ecb\u7535\u5e38\u6570\u5f20\u91cf\uff08\u4f8b\u5982\uff0c\u4ecb\u7535\u5e38\u6570\uff09<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #ff6600;\"><strong>Step-by-Step Piezoelectric Simulation Materials in Abaqus<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">Abaqus\u4e2d\u7684\u538b\u7535\u4eff\u771f\u6750\u6599\u4f7f\u5de5\u7a0b\u5e08\u548c\u7814\u7a76\u4eba\u5458\u80fd\u591f\u5206\u6790\u667a\u80fd\u6750\u6599\u5728\u5404\u79cd\u8f7d\u8377\u6761\u4ef6\u4e0b\u7684\u8026\u5408\u673a\u7535\u884c\u4e3a\u3002\u672c\u8282\u63d0\u4f9b\u4ece\u6750\u6599\u5b9a\u4e49\u5230\u7ed3\u679c\u89e3\u91ca\u7684\u538b\u7535\u4eff\u771f\u8bbe\u7f6e\u548c\u8fd0\u884c\u7684\u5206\u6b65\u6307\u5357\u3002.<\/span><\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"48550\" class=\"elementor elementor-48550\" data-elementor-post-type=\"elementor_library\">\n\t\t\t<div class=\"elementor-element elementor-element-719dc433 e-con-full e-flex e-con e-parent\" data-id=\"719dc433\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-75cfa834 elementor-widget__width-initial elementor-widget-mobile__width-initial elementor-absolute elementor-widget elementor-widget-image\" data-id=\"75cfa834\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1300\" src=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front.jpg\" class=\"attachment-full size-full wp-image-18612\" alt=\"\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front.jpg 1000w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-231x300.jpg 231w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-788x1024.jpg 788w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-378x491.jpg 378w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-768x998.jpg 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-62x81.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-600x780.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-725x943.jpg 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2023\/11\/Piezoelectric-simulation-in-Abaqus-front-150x195.jpg 150w\" sizes=\"(max-width: 1000px) 100vw, 1000px\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-379febf4 e-con-full e-flex e-con e-child\" data-id=\"379febf4\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7092d660 elementor-widget__width-initial title-limit elementor-widget-mobile__width-inherit elementor-widget elementor-widget-woocommerce-product-title elementor-page-title elementor-widget-heading\" data-id=\"7092d660\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"woocommerce-product-title.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"product_title entry-title elementor-heading-title elementor-size-default\"><a href=\"https:\/\/dev.caeassistant.com\/zh\/?post_type=product&#038;p=18559\">Abaqus\u4e2d\u7684\u538b\u7535\u6a21\u62df<\/a><\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-372360b5 elementor-widget__width-initial elementor-align-start elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"372360b5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-star-half-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">3.00<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e7035dd elementor-widget__width-initial text-limit elementor-widget elementor-widget-heading\" data-id=\"e7035dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">\u538b\u7535\u6750\u6599\u5177\u6709\u4e00\u79cd\u72ec\u7279\u7684\u6027\u8d28\uff0c\u79f0\u4e3a\u538b\u7535\u6027\u3002\u5f53\u53d7\u5230\u673a\u68b0\u5e94\u529b\u6216\u5f62\u53d8\u65f6\uff0c\u5b83\u4eec\u53ef\u4ee5\u4ea7\u751f\u7535\u8377\uff1b\u53cd\u4e4b\uff0c\u5f53\u65bd\u52a0\u7535\u573a\u65f6\uff0c\u5b83\u4eec\u4f1a\u53d1\u751f\u5f62\u53d8\u3002\u8fd9\u79cd\u73b0\u8c61\u6e90\u4e8e\u5176\u6676\u4f53\u7ed3\u6784\uff0c\u4f7f\u5176\u80fd\u591f\u5b9e\u73b0\u673a\u68b0\u80fd\u4e0e\u7535\u80fd\u4e4b\u95f4\u7684\u76f8\u4e92\u8f6c\u6362\u3002\u6a21\u62df\u538b\u7535\u6750\u6599\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u80fd\u591f\u5e2e\u52a9\u5de5\u7a0b\u5e08\u4f18\u5316\u5229\u7528\u8fd9\u4e9b\u6750\u6599\u7684\u5668\u4ef6\u548c\u7cfb\u7edf\u7684\u8bbe\u8ba1\u548c\u6027\u80fd\u3002\u901a\u8fc7\u6a21\u62df\uff0c\u5de5\u7a0b\u5e08\u53ef\u4ee5\u5206\u6790\u5e94\u529b\u5206\u5e03\u3001\u5f62\u53d8\u548c\u7535\u54cd\u5e94\u7b49\u56e0\u7d20\uff0c\u4ece\u800c\u8f85\u52a9\u6027\u80fd\u9884\u6d4b\u548c\u6545\u969c\u5206\u6790\u3002\u6a21\u62df\u8fd8\u53ef\u4ee5\u7814\u7a76\u53c2\u6570\u654f\u611f\u6027\uff0c\u4e86\u89e3\u53c2\u6570\u53d8\u5316\u5982\u4f55\u5f71\u54cd\u538b\u7535\u5668\u4ef6\u3002\u8fd9\u4e9b\u4fe1\u606f\u6709\u52a9\u4e8e\u505a\u51fa\u660e\u667a\u7684\u8bbe\u8ba1\u51b3\u7b56\uff0c\u5e76\u4f18\u5316\u538b\u7535\u5143\u4ef6\u5728\u5927\u578b\u7cfb\u7edf\u4e2d\u7684\u96c6\u6210\u3002\u6b64\u5916\uff0c\u6a21\u62df\u538b\u7535\u6750\u6599\u51cf\u5c11\u4e86\u5bf9\u7269\u7406\u539f\u578b\u7684\u9700\u6c42\uff0c\u4ece\u800c\u8282\u7701\u4e86\u5b9e\u9a8c\u88c5\u7f6e\u76f8\u5173\u7684\u65f6\u95f4\u548c\u6210\u672c\u3002\u5b83\u52a0\u6df1\u4e86\u5bf9\u538b\u7535\u6280\u672f\u7684\u7406\u89e3\u548c\u53d1\u5c55\uff0c\u4fc3\u8fdb\u4e86\u5176\u5728\u5404\u4e2a\u884c\u4e1a\u7684\u5e7f\u6cdb\u5e94\u7528\u3002\u5728\u672c\u57f9\u8bad\u5305\u4e2d\uff0c\u60a8\u5c06\u5b66\u4e60\u4ec0\u4e48\u662f\u538b\u7535\u6750\u6599\u3001\u538b\u7535\u6750\u6599\u7684\u7c7b\u578b\u3001\u538b\u7535\u6750\u6599\u7684\u5e94\u7528\uff0c\u4ee5\u53ca\u5982\u4f55\u5728 Abaqus \u4e2d\u6a21\u62df\u538b\u7535\u6750\u6599\u3002.<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-435fff91 elementor-absolute pulse-btn elementor-align-justify elementor-widget__width-initial elementor-widget elementor-widget-button\" data-id=\"435fff91\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/dev.caeassistant.com\/zh\/?post_type=product&#038;p=18559\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">BUY NOW<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15ac7b0 elementor-widget__width-inherit elementor-absolute elementor-hidden-tablet elementor-hidden-mobile elementor-widget elementor-widget-html\" data-id=\"15ac7b0\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"display: block;position: absolute\" width=\"0\" height=\"0\">\r\n  <defs><clippath id=\"clip\" clippathunits=\"objectBoundingBox\">\r\n  <path d=\"M0.0313,0H0.8313A0.0187,0.06,0,0,1,0.85,0.06V0.14A0.0187,0.06,0,0,0,0.8688,0.2H0.9812A0.0187,0.06,0,0,1,1,0.26V0.9A0.0313,0.1,0,0,1,0.9688,1H0.0313A0.0313,0.1,0,0,1,0,0.9V0.1A0.0313,0.1,0,0,1,0.0313,0Z\"\/>\r\n  <\/clippath><\/defs>\r\n<\/svg>\r\n<div class=\"inverted\"><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6a21\u62df\u538b\u7535\u884c\u4e3a <strong>Abaqus<\/strong> \u9700\u8981\u4ed4\u7ec6\u8bbe\u7f6e\u591a\u7269\u7406\u573a\u4eff\u771f\u3002\u4ee5\u4e0b\u662f\u5b8c\u6574\u7684\u6d41\u7a0b\uff1a<\/span><\/p>\n<h3><strong>1. Geometry Creation<\/strong><\/h3>\n<p><span style=\"font-size: 14pt;\">\u9996\u5148\u5728 Abaqus\/CAE \u4e2d\u8bbe\u8ba1\u6a21\u578b\uff0c\u6216\u8005\u4ece CAD \u5de5\u5177\u5bfc\u5165\u6a21\u578b\u3002\u51e0\u4f55\u5f62\u72b6\u5e94\u4e0e\u5b9e\u9645\u5c3a\u5bf8\u76f8\u7b26\uff0c\u5e76\u9002\u7528\u4e8e\u673a\u7535\u4ea4\u4e92\u3002.<\/span><\/p>\n<h3><strong>2. Material Property Definition<\/strong><\/h3>\n<p><span style=\"font-size: 14pt;\">\u4f7f\u7528\u201c\u6750\u8d28\u201d&gt;\u201c\u521b\u5efa\u201d\u8f93\u5165\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u5f39\u6027\u6027\u8d28\uff08\u6768\u6c0f\u6a21\u91cf\u3001\u6cca\u677e\u6bd4\uff09<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u538b\u7535\u77e9\u9635\u7cfb\u6570\uff08d \u6216 e \u5e38\u6570\uff09<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u4ecb\u7535\u5e38\u6570\uff08\u76f8\u5bf9\u4ecb\u7535\u5e38\u6570\uff09<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728 Abaqus \u4e2d\uff0c\u60a8\u9700\u8981\u5728\u6750\u6599\u5b9a\u4e49\u5bf9\u8bdd\u6846\u4e2d\u5b9a\u4e49\u6750\u6599\u7684\u538b\u7535\u7279\u6027\u3002\u5728\u8fd9\u91cc\uff0c\u60a8\u9700\u8981\u8f93\u5165\u63cf\u8ff0\u6750\u6599\u673a\u68b0\u548c\u7535\u5b66\u884c\u4e3a\u6240\u9700\u7684\u6240\u6709\u5fc5\u8981\u503c\uff0c\u5305\u62ec\uff1a\u5f39\u6027\u3001\u4ecb\u7535\u548c\u538b\u7535\u7279\u6027\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u901a\u8fc7\u6b63\u786e\u8bbe\u7f6e\u8fd9\u4e9b\u6750\u6599\u7cfb\u6570\uff0c\u60a8\u5c31\u53ef\u4ee5\u51c6\u786e\u5730\u6a21\u62df\u538b\u7535\u6750\u6599\u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u7684\u884c\u4e3a\uff01<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8bb8\u591a\u5e38\u89c1\u7684\u538b\u7535\u6750\u6599\uff08\u5c24\u5176\u662f\u50cf PZT \u8fd9\u6837\u7684\u9676\u74f7\uff09\u5728\u5b9e\u9645\u5efa\u6a21\u4e2d\u88ab\u89c6\u4e3a\u6b63\u4ea4\u5404\u5411\u5f02\u6027\u6750\u6599\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u5177\u6709\u4e09\u4e2a\u76f8\u4e92\u5782\u76f4\u7684\u5bf9\u79f0\u9762\uff0c\u5e76\u4e14\u6cbf\u6bcf\u4e2a\u8f74\u7684\u7279\u6027\u90fd\u4e0d\u540c\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u52a1\u5fc5\u6b63\u786e\u5b9a\u4e49\u6750\u6599\u53d6\u5411\uff0c\u4f7f\u5176\u4e0e\u6676\u8f74\u5bf9\u9f50\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u6b63\u4ea4\u5404\u5411\u5f02\u6027\u6750\u6599\uff0c\u56e0\u4e3a\u538b\u7535\u54cd\u5e94\u4e0e\u65b9\u5411\u5bc6\u5207\u76f8\u5173\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4f7f\u7528\u6750\u6599 &gt; \u521b\u5efa &gt; \u673a\u68b0 &gt; \u5f39\u6027 &gt; \u5f39\u6027 &gt; \u7c7b\u578b\uff1a\u5de5\u7a0b\u5e38\u6570\uff0c\u8f93\u5165\u5de5\u7a0b\u5e38\u6570\uff08<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36757\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png\" alt=\"\" width=\"55\" height=\"30\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537.png 82w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164537-62x34.png 62w\" sizes=\"(max-width: 55px) 100vw, 55px\" \/>).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36762\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties.png\" alt=\"\u5b9a\u4e49\u5f39\u6027\u5c5e\u6027\" width=\"479\" height=\"631\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties.png 632w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties-228x300.png 228w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties-373x491.png 373w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties-62x82.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties-600x790.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Elastic-Properties-150x197.png 150w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 11\uff1a\u5f39\u6027\u7279\u6027\u7684\u5b9a\u4e49<\/p>\n<p><span style=\"font-size: 14pt;\">\u4f7f\u7528\u6750\u6599 &gt; \u521b\u5efa &gt; \u7535\u6c14 &gt; \u538b\u7535 &gt; \u8f93\u5165\uff1a\u5e94\u53d8\u4ee5\u8f93\u5165\u538b\u7535\u8026\u5408\u77e9\u9635\uff08\u5e94\u53d8\u7cfb\u6570\uff09\uff0c\uff08<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36758\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png\" alt=\"\" width=\"46\" height=\"29\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549.png 72w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164549-62x39.png 62w\" sizes=\"(max-width: 46px) 100vw, 46px\" \/>).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36763\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties.png\" alt=\"\u5b9a\u4e49\u538b\u7535\u7279\u6027\" width=\"482\" height=\"634\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties.png 632w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties-228x300.png 228w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties-373x491.png 373w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties-62x82.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties-600x790.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-Piezoelectric-properties-150x197.png 150w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 12\uff1a\u538b\u7535\u7279\u6027\u7684\u5b9a\u4e49<\/p>\n<p><span style=\"font-size: 14pt;\">\u4f7f\u7528\u201c\u6750\u6599\u201d&gt;\u201c\u521b\u5efa\u201d&gt;\u201c\u7535\u6c14\u201d&gt;\u201c\u4ecb\u7535\u201d&gt;\u201c\u7c7b\u578b\uff1a\u6b63\u4ea4\u5404\u5411\u5f02\u6027\u201d\u8f93\u5165\u4ecb\u7535\u77e9\u9635\u7cfb\u6570\uff0c\uff08<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-36761\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Screenshot-2025-06-11-164625.png\" alt=\"\" width=\"35\" height=\"29\">).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36764\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties.png\" alt=\"\u5b9a\u4e49\u4ecb\u7535\u6027\u80fd\" width=\"476\" height=\"628\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties.png 631w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties-228x300.png 228w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties-372x491.png 372w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties-62x82.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties-600x791.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Defining-dielectric-properties-150x198.png 150w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 13\uff1a\u4ecb\u7535\u6027\u80fd\u7684\u5b9a\u4e49<\/p>\n<h3>3. Meshing<\/h3>\n<p><span style=\"font-size: 14pt;\"><strong>\u7f51\u683c\u7c7b\u578b\u548c\u5355\u5143\u9009\u62e9<\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u4f7f\u7528\u652f\u6301\u8026\u5408\u573a\u5206\u6790\u7684\u5143\u7d20\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u5bf9\u4e8e 2D\uff1a <strong>CPE4E<\/strong> \uff08\u5e73\u9762\u5e94\u53d8\uff09\u6216 <strong>CPS4E<\/strong> \uff08\u5e73\u9762\u5e94\u529b\uff09<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u5bf9\u4e8e 3D\uff1a <strong>C3D8E<\/strong><\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36765\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type.png\" alt=\"\u9009\u62e9\u5143\u7d20\u7c7b\u578b\" width=\"631\" height=\"496\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type.png 848w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-300x236.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-430x338.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-768x604.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-62x49.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-600x472.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-725x570.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Choosing-element-type-150x118.png 150w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 14\uff1a\u9009\u62e9\u5143\u7d20\u7c7b\u578b<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u7f51\u683c\u7ec6\u5316<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8c03\u6574\u7f51\u683c\u5c3a\u5bf8\uff0c\u4ee5\u7cbe\u786e\u6355\u6349\u9ad8\u5e94\u529b\u68af\u5ea6\u6216\u5f3a\u7535\u573a\u96c6\u4e2d\u533a\u57df\u3002\u91c7\u7528\u5c40\u90e8\u7f51\u683c\u7ec6\u5316\u6280\u672f\uff0c\u5c24\u5176\u662f\u5728\u8fb9\u7f18\u3001\u63a5\u89e6\u754c\u9762\u548c\u51e0\u4f55\u5f62\u72b6\u7a81\u53d8\u533a\u57df\u9644\u8fd1\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36766\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing.png\" alt=\"\u7f51\u683c\u5212\u5206\" width=\"745\" height=\"428\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing.png 1100w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-300x172.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-1024x588.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-430x247.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-768x441.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-62x36.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-600x345.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-725x417.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Meshing-150x86.png 150w\" sizes=\"(max-width: 745px) 100vw, 745px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 15\uff1a\u7f51\u683c\u5212\u5206<\/p>\n<h3>4. Loading and Boundary Conditions<\/h3>\n<p><span style=\"font-size: 14pt;\"><strong>\u65bd\u52a0\u8377\u8f7d<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u673a\u68b0\uff1a\u529b\u3001\u538b\u529b\u6216\u4f4d\u79fb<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u7535\u5b66\uff1a\u7535\u538b\u6216\u8868\u9762\u7535\u8377<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36767\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Loading.png\" alt=\"\u52a0\u8f7d\u4e2d\" width=\"282\" height=\"325\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Loading.png 397w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Loading-260x300.png 260w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Loading-62x72.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Loading-150x173.png 150w\" sizes=\"(max-width: 282px) 100vw, 282px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 16\uff1a\u52a0\u8f7d<\/p>\n<p><span style=\"font-size: 14pt;\"><strong>\u8fb9\u754c\u6761\u4ef6<\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u9002\u5f53\u7ea6\u675f\u4f4d\u79fb\u548c\u7535\u52bf\u3002\u5c06\u4e00\u7aef\u63a5\u5730\u4ee5\u907f\u514d\u60ac\u7a7a\u8282\u70b9\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36768 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Boundary-condition.png\" alt=\"\u8fb9\u754c\u6761\u4ef6\" width=\"312\" height=\"337\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Boundary-condition.png 312w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Boundary-condition-278x300.png 278w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Boundary-condition-62x67.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Boundary-condition-150x162.png 150w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 17\uff1a\u8fb9\u754c\u6761\u4ef6<\/p>\n<h3>5. Solving the Problem<\/h3>\n<p><span style=\"font-size: 14pt;\"><strong>\u7ed3\u6784-\u7535\u8026\u5408\u5206\u6790<\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u4f7f\u7528 <strong>\u9759\u6001\u4e00\u822c\u6b65\u9aa4<\/strong> \u5177\u6709\u5b8c\u5168\u8026\u5408\u7684\u6e29\u5ea6-\u4f4d\u79fb-\u7535\u573a\u3002.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>\u6c42\u89e3\u5668\u8bbe\u7f6e<\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u786e\u4fdd\u4e25\u683c\u7684\u6536\u655b\u6807\u51c6\u5e76\u5b9e\u73b0 <strong>\u975e\u7ebf\u6027\u51e0\u4f55\uff08NLGEOM\uff09<\/strong> \u5982\u679c\u9884\u8ba1\u4f1a\u51fa\u73b0\u8f83\u5927\u7684\u5f62\u53d8\u3002.<\/span><\/p>\n<h3>5.6 \u4e92\u52a8<\/h3>\n<p><span style=\"font-size: 14pt;\">\u786e\u4fdd\u673a\u68b0\u90e8\u4ef6\u548c\u7535\u6c14\u90e8\u4ef6\u4e4b\u95f4\u7684\u4ea4\u4e92\u6b63\u786e\u5efa\u7acb\u3002.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">Tie \u7ea6\u675f\u53ef\u7528\u4e8e\u4ea4\u4e92\u6a21\u5757\u4e2d\uff0c\u4ee5\u8fde\u63a5\u548c\u7ed1\u5b9a\u6216\u5c06\u4e24\u4e2a\u8868\u9762\u8fde\u63a5\u5728\u4e00\u8d77\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36769 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions.png\" alt=\"\u4e92\u52a8\" width=\"401\" height=\"597\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions.png 401w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions-202x300.png 202w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions-330x491.png 330w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions-62x92.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Interactions-150x223.png 150w\" sizes=\"(max-width: 401px) 100vw, 401px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 18\uff1a\u4ea4\u4e92\u4f5c\u7528<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u7528\u4e8e\u8fde\u63a5\u4e24\u4e2a\u8868\u9762\u7684 Tie \u7ea6\u675f\u901a\u8fc7\u626b\u63cf\u4e3b\u8868\u9762\u5468\u56f4\u6307\u5b9a\u534a\u5f84\u5185\u7684\u533a\u57df\u6765\u5b9a\u4f4d\u4ece\u8868\u9762\u3002\u76f8\u53cd\uff0c\u4e5f\u53ef\u4ee5\u5e94\u7528\u7b49\u5f0f\u7ea6\u675f\uff0c\u4f8b\u5982\u5728\u7535\u76f8\u4e92\u4f5c\u7528\u7684\u60c5\u51b5\u4e0b\u3002\u8be5\u7ea6\u675f\u786e\u4fdd\u538b\u7535\u8868\u9762\u5728\u6574\u4e2a\u5206\u6790\u8fc7\u7a0b\u4e2d\u4fdd\u6301\u76f8\u7b49\u7684\u7535\u4f4d\u5dee\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u901a\u8fc7\u7cbe\u5fc3\u5b9a\u4e49\u8026\u5408\u573a\u5206\u6790\uff0c\u9009\u62e9\u5408\u9002\u7684\u6c42\u89e3\u5668\u548c\u65f6\u95f4\u6b65\u8fdb\u65b9\u6cd5\uff0c\u5e76\u51c6\u786e\u914d\u7f6e\u76f8\u4e92\u4f5c\u7528\uff0c\u60a8\u5c06\u80fd\u591f\u5728 Abaqus \u4e2d\u6709\u6548\u5730\u6a21\u62df\u538b\u7535\u6750\u6599\u3002.<\/span><\/p>\n<h3>7. Results<\/h3>\n<p><span style=\"font-size: 14pt;\">\u9634\u8c0b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\">\u4f4d\u79fb\u573a\u548c\u5e94\u53d8\u573a<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u7535\u52bf\u5206\u5e03<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u5e94\u529b\u548c\u7535\u901a\u91cf\u5bc6\u5ea6<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-36770\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2025\/06\/Results.png\" alt=\"\u7ed3\u679c\" width=\"852\" height=\"394\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results.png 1540w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-300x139.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-1024x473.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-430x199.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-768x355.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-1536x710.png 1536w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-62x29.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-600x277.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-725x335.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2025\/06\/Results-150x69.png 150w\" sizes=\"(max-width: 852px) 100vw, 852px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 19\uff1a\u7ed3\u679c<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u67e5\u9605 Abaqus \u6587\u6863\u548c\u6559\u7a0b\u5c06\u6709\u52a9\u4e8e\u7406\u89e3\u542f\u52a8 Abaqus \u4eff\u771f\u6240\u9762\u4e34\u7684\u6311\u6218\u3002\u6b64\u5916\uff0c\u5982\u679c\u60a8\u9700\u8981\u6709\u5173 Abaqus \u4e2d\u538b\u7535\u4eff\u771f\u7684\u4fe1\u606f\uff0c\u53ef\u4ee5\u4f7f\u7528\u6b64\u6559\u7a0b\u5305\uff1a<\/span><\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"48550\" class=\"elementor elementor-48550\" data-elementor-post-type=\"elementor_library\">\n\t\t\t<div class=\"elementor-element elementor-element-719dc433 e-con-full e-flex e-con e-parent\" data-id=\"719dc433\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-75cfa834 elementor-widget__width-initial elementor-widget-mobile__width-initial elementor-absolute elementor-widget elementor-widget-image\" data-id=\"75cfa834\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img 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\u6307\u5357\u548c\u9002\u5408\u6240\u6709\u6280\u80fd\u6c34\u5e73\u7684\u8be6\u7ec6\u89c6\u9891\u3002\u63a2\u7d22\u514d\u8d39\u548c\u4ed8\u8d39\u5957\u9910\uff0c\u4ee5\u53ca\u9ad8\u6548\u638c\u63e1 Abaqus \u7684\u5fc5\u5907\u4fe1\u606f\u3002\u7acb\u5373\u5f00\u542f\u60a8\u7684 Abaqus \u5b66\u4e60\u4e4b\u65c5\uff01 <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/free-abaqus-tutorial-training-video\/\" target=\"_blank\" rel=\"noopener\">Abaqus\u6559\u7a0b<\/a><\/span><\/span><span style=\"font-size: 14pt;\"> \u73b0\u5728\uff01<\/span><\/p>\n\n\t\t<\/div>\n\t<\/div>\n[\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Have you ever wondered why a quartz crystal can generate electricity just by being pressed? This isn\u2019t magic\u2014it\u2019s the piezoelectric effect, a real physical phenomenon found in specific materials that convert mechanical stress into electrical energy and vice versa. These materials aren\u2019t just theoretical curiosities. They\u2019re widely used in everyday technologies, from medical ultrasound devices [&hellip;]<\/p>","protected":false},"author":250,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[67],"tags":[],"class_list":["post-36738","post","type-post","status-publish","format-standard","hentry","category-blog"],"_links":{"self":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/36738","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/users\/250"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/comments?post=36738"}],"version-history":[{"count":2,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/36738\/revisions"}],"predecessor-version":[{"id":49165,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/36738\/revisions\/49165"}],"wp:attachment":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media?parent=36738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/categories?post=36738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/tags?post=36738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}