{"id":713,"date":"2015-09-12T12:30:09","date_gmt":"2015-09-12T04:30:09","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=713"},"modified":"2026-02-17T11:28:36","modified_gmt":"2026-02-17T03:28:36","slug":"spectra-response-analysis-program-%e5%9c%b0%e9%9c%87%e6%b3%a2%e5%8f%8d%e5%ba%94%e8%b0%b1%e8%ae%a1%e7%ae%97%e7%a8%8b%e5%ba%8f","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=713","title":{"rendered":"[\u5730\u9707\u5de5\u7a0b] Earthquake Response Spectra [\u5730\u9707\u53cd\u5e94\u8c31]"},"content":{"rendered":"<ul style=\"list-style-type: square;\">\n<li><strong>\u00a0\u53cd\u5e94\u8c31\u7684\u57fa\u672c\u6982\u5ff5\uff08<span style=\"color: #0000ff;\">Introduction to Response Spectra<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p>\u5730\u9707\u52a8\u53cd\u5e94\u8c31\uff1a\u5355\u81ea\u7531\u5ea6\u5f39\u6027\u7cfb\u7edf\u5bf9\u4e8e\u67d0\u4e2a\u5b9e\u9645\u5730\u9707\u52a0\u901f\u5ea6\u7684\u6700\u5927\u53cd\u5e94\uff08\u53ef\u4ee5\u662f\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u548c\u4f4d\u79fb\uff09\u548c\u4f53\u7cfb\u7684\u81ea\u632f\u7279\u5f81\uff08\u81ea\u632f\u5468\u671f\u6216\u9891\u7387\u548c\u963b\u5c3c\u6bd4\uff09\u4e4b\u95f4\u7684\u51fd\u6570\u5173\u7cfb\u3002\u5de5\u7a0b\u4e2d\u5e38\u7528\u5230\u53cd\u5e94\u8c31\u7684\u6982\u5ff5\uff0c\u5982\uff0c\u6211\u4eec\u76ee\u524d\u91c7\u7528\u7684\u662f\u57fa\u4e8e\u53cd\u5e94\u8c31\u7684\u6297\u9707\u8bbe\u8ba1\u65b9\u6cd5\u3001\u5728\u9759\u529b\u5f39\u5851\u6027\u5206\u6790\u7684\u65f6\u5019\u6211\u4eec\u8fd8\u9700\u8981\u7528\u5230\u53cd\u5e94\u8c31\u3001\u5728\u52a8\u529b\u65f6\u7a0b\u5206\u6790\u9009\u62e9\u5730\u9707\u6ce2\u7684\u65f6\u5019\uff0c\u6211\u4eec\u8fd8\u5e38\u9700\u8981\u4ee5\u89c4\u8303\u7684\u8bbe\u8ba1\u53cd\u5e94\u8c31\u4e3a\u53c2\u8003\uff0c\u8981\u6c42\u9009\u62e9\u7684\u5730\u9707\u6ce2\u7684\u53cd\u5e94\u8c31\u548c\u8bbe\u8ba1\u53cd\u5e94\u8c31\u76f8\u6bd4\u4e0d\u80fd\u504f\u5dee\u8fc7\u5927\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u53cd\u5e94\u8c31\u7684\u7406\u8bba\u516c\u5f0f\uff08<span style=\"color: #0000ff;\">Basic Equations of Response Spectra<\/span>\uff09\u00a0<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1833\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/SDOF.png\" alt=\"SDOF-System\" width=\"417\" height=\"254\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u5355\u81ea\u7531\u5ea6\u5730\u9707\u4f5c\u7528\u4e0b\u7684\u52a8\u529b\u65b9\u7a0b\uff1a<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1835\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-1.png\" alt=\"Equation-1\" width=\"602\" height=\"200\" \/><\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1864\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-2.png\" alt=\"Equation-2\" width=\"599\" height=\"561\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u4ece\u516c\u5f0f(2-5)\u53ef\u77e5\uff0c\u7ed3\u6784\u7684\u5730\u9707\u52a8\u54cd\u5e94\u53ea\u548c 3 \u4e2a\u53d8\u91cf\u6709\u5173\uff1a\u5730\u9762\u52a0\u901f\u5ea6\uff08<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1837\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/ug.png\" alt=\"ug\" width=\"19\" height=\"22\" \/>\uff09\u3001\u7ed3\u6784\u7684\u963b\u5c3c\u6bd4\uff08\u03be\uff09\u548c\u65e0\u963b\u5c3c\u7ed3\u6784\u4f53\u7cfb\u7684\u5706\u9891\u7387\uff08\u03c9\uff09\u3002\u56e0\u6b64\u5bf9\u4e8e\u4e00\u4e2a\u7ed9\u5b9a\u7684\u5730\u9707\u52a8\uff0c\u7ed3\u6784\u7684\u4f4d\u79fb\u54cd\u5e94<em>u<\/em><sub>r<\/sub> \u662f\u5706\u9891\u7387\uff08\u03c9\uff09\u548c\u963b\u5c3c\u6bd4\uff08\u03be\uff09\u7684\u51fd\u6570\u3002\u6839\u636e\u53cd\u5e94\u8c31\u7684\u6982\u5ff5\uff0c\u5bf9\u4e8e\u7279\u5b9a\u7684\u5730\u9707\u6ce2\uff0c\u53ea\u8981\u9009\u5b9a\u963b\u5c3c\u6bd4\u03be\uff0c\u7ed3\u6784\u7684\u6700\u5927\u54cd\u5e94\uff08\u5305\u62ec\uff0c\u901f\u5ea6\u3001\u4f4d\u79fb\u548c\u52a0\u901f\u5ea6\uff09\u662f\u7ed3\u6784\u9891\u7387\u03c9\u7684\u51fd\u6570\uff0c\u5bf9\u4e00\u6761\u7279\u5b9a\u7684\u5730\u9707\u6ce2\uff0c\u5706\u9891\u7387\uff08\u03c9\uff09\u53d6\u4e0d\u540c\u7684\u503c\u8fdb\u884c\u52a8\u529b\u65f6\u7a0b\u5206\u6790\uff0c\u5c06\u83b7\u5f97\u54cd\u5e94\u6700\u5927\u503c\u4f5c\u4e3a\u7eb5\u5750\u6807\uff0c\u5706\u9891\u7387\uff08\u03c9\uff09\u4e3a\u6a2a\u5750\u6807\u7ed8\u56fe\uff0c\u5c31\u5f97\u5230\u53cd\u5e94\u8c31\u66f2\u7ebf\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u5e38\u7528\u7684\u5730\u9707\u53cd\u5e94\u8c31\uff08<span style=\"color: #0000ff;\">Commonly used Response Spectra<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p>\uff081\uff09\u53cd\u5e94\u8c31\uff08<span style=\"color: #0000ff;\">Response Spectra<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u5f53\u6700\u5927\u54cd\u5e94\u5206\u522b\u53d6\u76f8\u5bf9\u4f4d\u79fb\u3001\u76f8\u5bf9\u901f\u5ea6\u3001\u7edd\u5bf9\u52a0\u901f\u5ea6\u65f6\uff0c\u6211\u4eec\u53ef\u83b7\u5f97\u4ee5\u4e0b\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\">\u76f8\u5bf9\u4f4d\u79fb\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1838\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-3.png\" alt=\"Equation-3\" width=\"176\" height=\"46\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1839\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-4.png\" alt=\"Equation-4\" width=\"176\" height=\"47\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1840\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-5.png\" alt=\"Equation-5\" width=\"284\" height=\"46\" \/><\/p>\n<p>\uff082\uff09\u4f2a\u53cd\u5e94\u8c31\uff08<span style=\"color: #0000ff;\">Pseudo-Response Spectra<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u53e6\u5916\uff0c\u5de5\u7a0b\u4e2d\u8fd8\u5e38\u7528\u5230\u4f2a\u53cd\u5e94\u8c31\u3002\u6240\u8c13\u4f2a\u53cd\u5e94\u8c31\u662f\u6307\uff0c\u5f53\u6211\u4eec\u83b7\u5f97\u76f8\u5bf9\u4f4d\u79fb\u4f4d\u79fb\u53cd\u5e94\u8c31\u540e\uff0c\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u83b7\u5f97\u4f2a\u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\u3001\u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\">\u4f2a\u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1841\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-6.png\" alt=\"Equation-6\" width=\"208\" height=\"35\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1842\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-7.png\" alt=\"Equation-7\" width=\"218\" height=\"31\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u4e8b\u5b9e\u4e0a\uff0c\u5728\u57fa\u4e8e\u5f3a\u5ea6\u7684\u8bbe\u8ba1\u65b9\u6cd5\u91cc\uff0c\u5e38\u7528\u7684\u662f\u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31<strong> PSA (\u03be \u03c9)<\/strong>\uff0c\u800c\u4e0d\u662f\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31<strong>\u00a0SA (\u03be \u03c9)<\/strong>\u3002\u539f\u56e0\u662f\uff0c\u6211\u4eec\u57fa\u4e8e\u53cd\u5e94\u8c31\u7684\u8bbe\u8ba1\u65b9\u6cd5\u5b9e\u9645\u4e0a\u662f\u4e00\u79cd\u7b49\u6548\u9759\u529b\u8bbe\u8ba1\u65b9\u6cd5\u3002\u6240\u8c13\u7b49\u6548\u9759\u529b\u6cd5\u7684\u610f\u601d\u662f\uff0c\u7ed3\u6784\u5728\u5730\u9707\u4f5c\u7528\u4e0b\u662f\u4e00\u4e2a\u52a8\u529b\u8fc7\u7a0b\uff0c\u4f46\u662f\u52a8\u529b\u65b9\u7a0b\u592a\u590d\u6742\uff0c\u8fd8\u662f\u5e0c\u671b\u91c7\u7528\u4e00\u79cd\u9759\u529b\u7684\u601d\u7ef4\u65b9\u5f0f\uff08<em><strong> F=ku<\/strong><\/em>\u00a0\uff09\u6765\u8bbe\u8ba1\u7ed3\u6784\uff0c\u53ea\u8981\u4fdd\u8bc1\u8bbe\u8ba1\u51fa\u6765\u7684\u7ed3\u6784\u5176\u53d8\u5f62\uff08<strong> <em>F \/k<\/em> <\/strong>\uff09\u4e0e\u7ed3\u6784\u5728\u771f\u5b9e\u5730\u9707\u52a8\u4f5c\u7528\u4e0b\u7684\u53d8\u5f62<strong><em>u<\/em><sub>r<\/sub> <\/strong>\u76f8\u7b49\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n<p style=\"padding-left: 20px;\">\u4ee5\u5355\u81ea\u7531\u5ea6\u4e3a\u4f8b\u8fdb\u884c\u8bf4\u660e\uff0c\u5982\u4e0b\u516c\u5f0f\u662f\u5355\u81ea\u7531\u5ea6\u7684\u5730\u9707\u52a0\u901f\u5ea6\u4f5c\u7528\u4e0b\u7684\u52a8\u529b\u65b9\u7a0b\uff1a<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1844\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-8.png\" alt=\"Equation-8\" width=\"219\" height=\"40\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u5c06\u4ee5\u4e0a\u516c\u5f0f\u79fb\u9879\u53ef\u5f97\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1843\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-9.png\" alt=\"Equation-9\" width=\"187\" height=\"35\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u5047\u8bbe\u4e0a\u5f0f\u4e2d\u7ed3\u6784\u7684\u4f4d\u79fb\u54cd\u5e94<strong><em>u<\/em><sub>r<\/sub><\/strong>\u4e3a\u771f\u5b9e\u5730\u9707\u52a8\u4f5c\u7528\u4e0b\u7684\u503c\uff0c\u5219<strong><em>ku<\/em><sub>r<\/sub><\/strong>\u5bf9\u5e94\u4e00\u4e2a\u7b49\u6548\u9759\u529b\uff0c\u5176\u5de6\u8fb9\u9664\u4e86\u7edd\u5bf9\u52a0\u901f\u5ea6\u4ea7\u751f\u7684\u60ef\u6027\u529b<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1845 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-10.png\" alt=\"Equation-10\" width=\"89\" height=\"32\" \/> \u5916\uff0c\u8fd8\u6709\u4e00\u4e2a\u963b\u5c3c\u9879<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1846 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-11.png\" alt=\"Equation-11\" width=\"29\" height=\"27\" \/>\u3002<\/p>\n<p style=\"padding-left: 20px;\">\u5982\u679c\u6211\u4eec\u7684\u8bbe\u8ba1\u53cd\u5e94\u8c31\u4e3a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff0c\u4e5f\u5c31\u662f\u8bf4\u91c7\u7528<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1845 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-10.png\" alt=\"Equation-10\" width=\"89\" height=\"32\" \/>\uff08\u5373\u8bbe\u8ba1\u5185\u529b\u53d6\u7ed3\u6784\u7684\u771f\u5b9e\u60ef\u6027\u529b\uff09\uff0c\u90a3\u4e48\u5728\u7ed9\u5b9a<strong><em> k<\/em> <\/strong>\uff08\u8bbe\u8ba1\u65f6\u5019\u7ed9\u5b9a\u622a\u9762\u5c3a\u5bf8\u3001\u4ece\u800c\u786e\u5b9a\u6784\u4ef6\u7684\u521a\u5ea6\uff09\u7684\u60c5\u51b5\u4e0b\uff0c\u6309\u5185\u529b\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1845 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-10.png\" alt=\"Equation-10\" width=\"89\" height=\"32\" \/>\u8bbe\u8ba1\u7684\u6784\u4ef6\uff0c\u5176\u5728\u771f\u5b9e\u5730\u9707\u52a8\u4f5c\u7528\u4e0b\u7684\u53d8\u5f62\u548c\u6309\u9759\u529b\u601d\u7ef4\u83b7\u5f97\u7684\u53d8\u5f62<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1847 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-12.png\" alt=\"Equation-12\" width=\"109\" height=\"31\" \/>\u4e0d\u76f8\u540c\u3002\u6216\u8005\u6362\u53e5\u8bdd\u6765\u8bf4\uff0c\u6309 <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1845 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-10.png\" alt=\"Equation-10\" width=\"89\" height=\"32\" \/>\u8bbe\u8ba1\u7684\u7ed3\u6784\uff0c\u5176\u662f\u5426\u80fd\u627f\u53d7\u9884\u671f\u7684\u5730\u9707\u52a8\u662f\u4e0d\u51c6\u786e\u7684\u3002\u56de\u60f3\u6211\u4eec\u505a\u7ed3\u6784\u8bbe\u8ba1\u7684\u65f6\u5019\uff0c\u6211\u4eec\u786e\u5b9e\u90fd\u91c7\u7528\u53cd\u5e94\u8c31\u6cd5\u8ba1\u7b97\u529b\uff0c\u5e76\u76f4\u63a5\u7528\u8ba1\u7b97\u51fa\u6765\u7684\u529b\u8fdb\u884c\u914d\u7b4b\u4e86\uff0c\u5e76\u6ca1\u6709\u8003\u8651\u5230\u963b\u5c3c\u9879<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1846 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-11.png\" alt=\"Equation-11\" width=\"29\" height=\"27\" \/>\u5bf9\u529b\u8fdb\u884c\u4fee\u6b63\u3002<\/p>\n<p style=\"padding-left: 20px;\">\u90a3\u4e48\uff0c\u95ee\u9898\u51fa\u5728\u54ea\uff1f\u8bbe\u8ba1\u5185\u529b\u4e0d\u53d6<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1845 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-10.png\" alt=\"Equation-10\" width=\"89\" height=\"32\" \/>\uff0c\u90a3\u4e48\u5e94\u8be5\u53d6\u4ec0\u4e48\u3002\u6211\u4eec\u53ef\u4ee5\u53cd\u8fc7\u6765\u601d\u8003\uff0c\u4e3a\u4e86\u4fdd\u8bc1\u8bbe\u8ba1\u51fa\u6765\u7684\u7ed3\u6784\u5176\u53d8\u5f62\uff08 <strong>F\/ k<\/strong> \uff09\u4e0e\u7ed3\u6784\u5728\u771f\u5b9e\u5730\u9707\u52a8\u4f5c\u7528\u4e0b\u7684\u53d8\u5f62<strong><em>u<\/em><sub>r<\/sub><\/strong>\u76f8\u7b49\uff0c\u5219\u8bbe\u8ba1\u5185\u529b\u5fc5\u987b\u4e3a<strong><em>F=ku<\/em><sub>r<\/sub><\/strong>\u00a0\u3002\u5bf9\u4e8e\u5355\u81ea\u7531\u5ea6\u4f53\u7cfb\uff0c\u7531\u516c\u5f0f(2-4)\u53ef\u77e5\uff0c<strong><em> k=m\u03c9<\/em><sup>2<\/sup><\/strong>= \u3002\u5219\u8bbe\u8ba1\u5185\u529b\u5e94\u8be5\u4e3a <strong><em>F=m\u03c9<sup>2<\/sup>u<\/em><sub>r<\/sub><\/strong>\u3002\u7531\u4e8e\u52a8\u529b\u65f6\u7a0b\u7ed3\u679c\u6709\u5f88\u591a\u70b9\uff0c\u8bbe\u8ba1\u65f6\u6211\u4eec\u5173\u5fc3\u7684\u662f\u6700\u5927\u54cd\u5e94\uff0c\u5219\u6709\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1848\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-13.png\" alt=\"Equation-13\" width=\"524\" height=\"33\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u7531\u4f2a\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u7684\u516c\u5f0f\u53ef\u4ee5\u5f97\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1849\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-14.png\" alt=\"Equation-14\" width=\"455\" height=\"28\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u4ece\u516c\u5f0f(3-2)\u53ef\u77e5\uff0c\u53ea\u8981\u6211\u4eec\u91c7\u7528\u4f2a\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff0c\u4ee5<em><strong>F =mPSA(\u03be ,\u03c9)<\/strong><\/em>\u4e3a\u8bbe\u8ba1\u5185\u529b\uff0c\u90a3\u4e48\u8bbe\u8ba1\u51fa\u6765\u7684\u7ed3\u6784\u5c31\u53ef\u4ee5\u627f\u53d7\u8be5\u5730\u9707\u3002\u56e0\u6b64\uff0c\u4e00\u822c\u60c5\u51b5\uff0c\u89c4\u8303\u7684\u8bbe\u8ba1\u53cd\u5e94\u8c31\u662f\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff0c\u800c\u4e14\u5e94\u8be5\u662f\u57fa\u4e8e\u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u5efa\u7acb\u3002<\/p>\n<p style=\"padding-left: 20px;\">\u5bf9\u4e8e\u591a\u81ea\u7531\u4f53\u7cfb\uff0c\u5176\u57fa\u672c\u6982\u5ff5\u4e5f\u662f\u4e00\u6837\u7684\uff0c\u53ea\u4e0d\u8fc7\u662f\u591a\u4e86\u632f\u578b\u5206\u89e3\u4e0e\u7ec4\u5408\u7684\u8fc7\u7a0b\u3002<\/p>\n<p style=\"padding-left: 20px;\">\u540c\u65f6\u6211\u4eec\u5fc5\u987b\u6ce8\u610f\uff0c\u4e0a\u8ff0\u9610\u8ff0\u90fd\u662f\u4ee5\u7ed3\u6784\u76f8\u5bf9\u4f4d\u79fb<strong><em>u<\/em><sub>r<\/sub><\/strong>\u00a0\u4e3a\u57fa\u7840\u8003\u8651\u7684\u3002\u5982\u679c\u6211\u4eec\u6bd4\u8f83\u5173\u5fc3\u7684\u662f\u771f\u5b9e\u7684\u7edd\u5bf9\u52a0\u901f\u5ea6\u6216\u8005\u76f8\u5bf9\u901f\u5ea6\uff0c\u90a3\u4e48\u5728\u4f7f\u7528\u89c4\u8303\u53cd\u5e94\u8c31\u7684\u65f6\u5019\u5c31\u8981\u6ce8\u610f\u3002<\/p>\n<p>\uff083\uff09\u53cd\u5e94\u8c31\u548c\u4f2a\u53cd\u5e94\u8c31\u7684\u5173\u7cfb\uff08<span style=\"color: #0000ff;\">Relation between Response Spectra and Pseudo-Response Spectra<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u4efb\u610f\u8377\u8f7d\u4f5c\u7528\u4e0b\u5355\u81ea\u7531\u5ea6\u7684\u54cd\u5e94\u53ef\u4ee5\u7528\u675c\u54c8\u6885\u79ef\u5206\uff08<span style=\"color: #0000ff;\"><em><strong>Duhamel\u2019s integral<\/strong><\/em><\/span>\uff09\u6765\u8ba1\u7b97\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1850\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-15.png\" alt=\"Equation-15\" width=\"577\" height=\"53\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u5c06\u8377\u8f7d<em><strong>p<\/strong><\/em>(<em><strong>\u03c4<\/strong><\/em>) \u66ff\u6362<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1854 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-19.png\" alt=\"Equation-19\" width=\"67\" height=\"27\" \/>\uff0c<em><strong>u<\/strong><\/em>(<em><strong>t<\/strong><\/em>)\u00a0\u66ff\u6362\u4e3a<strong><em>u<\/em><sub>r<\/sub><\/strong>\u00a0(<em><strong>t<\/strong><\/em>)\u5c06\u53ef\u5f97\u5730\u9707\u4f5c\u7528\u4e0b\u5355\u81ea\u7531\u5ea6\u4f53\u7cfb\u7684\u4f4d\u79fb\u54cd\u5e94\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1851\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-16.png\" alt=\"Equation-16\" width=\"573\" height=\"53\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u5219\u4f4d\u79fb\u53cd\u5e94\u8c31\u548c\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u5206\u522b\u4e3a\uff1a<\/p>\n<p style=\"padding-left: 20px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1852\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-17.png\" alt=\"Equation-17\" width=\"610\" height=\"115\" \/>\u5176\u4e2d\uff1a<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1853\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-18.png\" alt=\"Equation-18\" width=\"365\" height=\"148\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u4ece\u516c\u5f0f\uff083-6\uff09\u53ef\u4ee5\u77e5\uff0c\u5f53\u963b\u5c3c\u6bd4<em><strong>\u03be<\/strong><\/em>=0\u65f6\uff0c<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1855 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/Equation-20.png\" alt=\"Equation-20\" width=\"284\" height=\"25\" \/>\uff0c\u4f2a\u53cd\u5e94\u8c31\u548c\u53cd\u5e94\u8c31\u76f8\u7b49\u3002\u5f53\u8003\u8651\u963b\u5c3c\u7684\u65f6\u5019\uff0c\u963b\u5c3c\u8d8a\u5927\uff0c\u4f2a\u53cd\u5e94\u8c31\u548c\u53cd\u5e94\u8c31\u76f8\u5dee\u8d8a\u5927\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u53cd\u5e94\u8c31\u7684\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\u4e0e\u7a0b\u5e8f\uff08<span style=\"color: #0000ff;\">Numerical methods and Program for <\/span><\/strong><strong><span style=\"color: #0000ff;\">Response Spectra<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p>\u6709\u4e86\u4e0a\u9762\u7684\u6982\u5ff5\u4e4b\u540e\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97\u53cd\u5e94\u8c31\u4e86\u3002\u5bf9\u4e8e\u4e00\u822c\u7684\u52a0\u901f\u5ea6\u65f6\u7a0b\uff0c\u5e38\u91c7\u7528\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\u8ba1\u7b97\u53cd\u5e94\u8c31\u3002\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\u53c8\u5206\u4e3a\u591a\u79cd\uff0c\u6709\u9891\u57df\u7684\u6709\u65f6\u57df\u7684\u3002\u5e38\u7528\u7684\u65f6\u57df\u8ba1\u7b97\u65b9\u6cd5\u6709\uff1a\u7cbe\u786e\u9010\u6b65\u79ef\u5206\u7b97\u6cd5\u3001\u5e38\u52a0\u901f\u5ea6\u6cd5\u3001\u7ebf\u6027\u52a0\u901f\u5ea6\u6cd5\u3001\u4e2d\u5fc3\u5dee\u5206\u6cd5\u3001Newmark \u6cd5\u7b49\u3002 \u76ee\u524d\u5e38\u7528\u7684\u5730\u9707\u6ce2\u53cd\u5e94\u8c31\u8ba1\u7b97\u8f6f\u4ef6\u6709 <strong>SeismoSignal<\/strong>\uff0c\u8be5\u8f6f\u4ef6\u53ef\u4ee5\u5229\u7528\u6559\u80b2\u90ae\u7bb1\u514d\u8d39\u7533\u8bf7\u4f7f\u7528\u3002\u5229\u7528\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u81ea\u5df1\u7f16\u5236\u5730\u9707\u6ce2\u53cd\u5e94\u8c31\u8ba1\u7b97\u7a0b\u5e8f\u3002<\/p>\n<p>\u672c\u6587\uff0c\u7f16\u5236\u4e86\u5730\u9707\u53cd\u5e94\u8c31\u5206\u6790\u7a0b\u5e8f\u2014<strong>SPECTR<\/strong>\uff0c\u7528\u4e8e\u6279\u91cf\u8ba1\u7b97\u53cd\u5e94\u8c31\uff0c\u7a0b\u5e8f\u754c\u9762\u5982\u4e0b\uff1a<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1856\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/SPECTR-1.png\" alt=\"SPECTR-1\" width=\"643\" height=\"362\" \/><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1857\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/SPECTR-2.png\" alt=\"SPECTR-2\" width=\"642\" height=\"361\" \/><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1858\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/09\/SPECTR-About.png\" alt=\"SPECTR-About\" width=\"639\" height=\"360\" \/><\/p>\n<p>SPECTR \u9664\u4e86\u63d0\u4f9b\u53cd\u5e94\u8c31\u8ba1\u7b97\u5916\uff0c\u8fd8\u53ef\u4ee5\u5bf9\u52a0\u901f\u5ea6\u65f6\u7a0b\u8fdb\u884c\u57fa\u7ebf\u4fee\u6b63\u548c\u79ef\u5206\u3002<\/p>\n<p>\u5173\u4e8eSPECTR\u7684\u66f4\u591a\u4fe1\u606f\u5c06\u4f1a\u5728\u63a5\u4e0b\u6765\u7684\u535a\u6587\u4e2d\u8fdb\u884c\u4ecb\u7ecd\u3002<\/p>\n<p>SPECTR\u662f\u514d\u8d39\u7684\uff0c\u53ef\u4ee5\u5728\u6211\u7684\u7f51\u7ad9\uff1a<strong><a href=\"www.jdcui.com\">www.jdcui.com <\/a><\/strong>\u8fdb\u884c\u4e0b\u8f7d\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u5c0f\u7ed3\uff08<span style=\"color: #0000ff;\">Conclusions<\/span>\uff09 <\/strong><\/li>\n<\/ul>\n<p>\u603b\u7ed3\u4e86\u5730\u9707\u53cd\u5e94\u8c31\u7684\u57fa\u672c\u6982\u5ff5\u3001\u57fa\u672c\u516c\u5f0f\u3001\u5bf9\u53cd\u5e94\u8c31\u548c\u4f2a\u53cd\u5e94\u8c31\u7684\u6982\u5ff5\u8fdb\u884c\u4e86\u9610\u8ff0\uff0c\u5e76\u7f16\u5236\u4e86\u5730\u9707\u53cd\u5e94\u8c31\u8ba1\u7b97\u8f6f\u4ef6 SPECTR\u3002\u5982\u6709\u9519\u8bef\u6216\u9057\u6f0f\uff0c\u6b22\u8fce\u5927\u5bb6\u6279\u8bc4\u6307\u6b63\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u53c2\u8003\u6587\u732e\uff08<span style=\"color: #0000ff;\">References<\/span>\uff09 <\/strong><\/li>\n<\/ul>\n<p><strong>[1] Chopra AK. Dynamics of Structures: Theory and Applications to Earthquake Engineering. Prentice-Hall: New Jersey, 2012.<\/strong><br \/>\n<strong>[2] Clough RW, Penzien J. Dynamics of Structures. McGraw-Hill: New York, 1993<\/strong><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0( <span style=\"color: #0000ff;\">Wechat\u00a0Subscription<\/span>)<\/strong><\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3636\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><strong>\u6b22\u8fce\u5173\u6ce8\u00a0\u201c<span style=\"color: #ff00ff;\">\u7ed3\u6784\u4e4b\u65c5<\/span>\u201d\u00a0\u5fae\u4fe1\u516c\u4f17\u53f7<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0\u53cd\u5e94\u8c31\u7684\u57fa\u672c\u6982\u5ff5\uff08Introduction to Response Spectra\uff09 \u5730\u9707\u52a8\u53cd\u5e94\u8c31\uff1a\u5355\u81ea\u7531\u5ea6\u5f39\u6027\u7cfb\u7edf\u5bf9\u4e8e\u67d0\u4e2a\u5b9e\u9645\u5730\u9707\u52a0\u901f\u5ea6\u7684\u6700\u5927\u53cd\u5e94\uff08\u53ef\u4ee5\u662f\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u548c\u4f4d\u79fb\uff09\u548c\u4f53\u7cfb\u7684\u81ea\u632f\u7279\u5f81\uff08\u81ea\u632f\u5468\u671f\u6216\u9891\u7387\u548c\u963b\u5c3c\u6bd4\uff09\u4e4b\u95f4\u7684\u51fd\u6570\u5173\u7cfb\u3002\u5de5\u7a0b\u4e2d\u5e38\u7528\u5230\u53cd\u5e94\u8c31\u7684\u6982\u5ff5\uff0c\u5982\uff0c\u6211\u4eec\u76ee\u524d\u91c7\u7528\u7684\u662f\u57fa\u4e8e\u53cd\u5e94\u8c31\u7684\u6297\u9707\u8bbe\u8ba1\u65b9\u6cd5\u3001\u5728\u9759\u529b\u5f39\u5851\u6027\u5206\u6790\u7684\u65f6\u5019\u6211\u4eec\u8fd8\u9700\u8981\u7528\u5230\u53cd\u5e94\u8c31\u3001\u5728\u52a8\u529b\u65f6\u7a0b\u5206\u6790\u9009\u62e9\u5730\u9707\u6ce2\u7684\u65f6\u5019\uff0c\u6211\u4eec\u8fd8\u5e38\u9700\u8981\u4ee5\u89c4\u8303\u7684\u8bbe\u8ba1\u53cd\u5e94\u8c31\u4e3a\u53c2\u8003\uff0c\u8981\u6c42\u9009\u62e9\u7684\u5730\u9707\u6ce2\u7684\u53cd\u5e94\u8c31\u548c\u8bbe\u8ba1\u53cd\u5e94\u8c31\u76f8\u6bd4\u4e0d\u80fd\u504f\u5dee\u8fc7\u5927\u3002 \u53cd\u5e94\u8c31\u7684\u7406\u8bba\u516c\u5f0f\uff08Basic Equations of Response Spectra\uff09\u00a0 \u5355\u81ea\u7531\u5ea6\u5730\u9707\u4f5c\u7528\u4e0b\u7684\u52a8\u529b\u65b9\u7a0b\uff1a \u4ece\u516c\u5f0f(2-5)\u53ef\u77e5\uff0c\u7ed3\u6784\u7684\u5730\u9707\u52a8\u54cd\u5e94\u53ea\u548c 3 \u4e2a\u53d8\u91cf\u6709\u5173\uff1a\u5730\u9762\u52a0\u901f\u5ea6\uff08\uff09\u3001\u7ed3\u6784\u7684\u963b\u5c3c\u6bd4\uff08\u03be\uff09\u548c\u65e0\u963b\u5c3c\u7ed3\u6784\u4f53\u7cfb\u7684\u5706\u9891\u7387\uff08\u03c9\uff09\u3002\u56e0\u6b64\u5bf9\u4e8e\u4e00\u4e2a\u7ed9\u5b9a\u7684\u5730\u9707\u52a8\uff0c\u7ed3\u6784\u7684\u4f4d\u79fb\u54cd\u5e94ur \u662f\u5706\u9891\u7387\uff08\u03c9\uff09\u548c\u963b\u5c3c\u6bd4\uff08\u03be\uff09\u7684\u51fd\u6570\u3002\u6839\u636e\u53cd\u5e94\u8c31\u7684\u6982\u5ff5\uff0c\u5bf9\u4e8e\u7279\u5b9a\u7684\u5730\u9707\u6ce2\uff0c\u53ea\u8981\u9009\u5b9a\u963b\u5c3c\u6bd4\u03be\uff0c\u7ed3\u6784\u7684\u6700\u5927\u54cd\u5e94\uff08\u5305\u62ec\uff0c\u901f\u5ea6\u3001\u4f4d\u79fb\u548c\u52a0\u901f\u5ea6\uff09\u662f\u7ed3\u6784\u9891\u7387\u03c9\u7684\u51fd\u6570\uff0c\u5bf9\u4e00\u6761\u7279\u5b9a\u7684\u5730\u9707\u6ce2\uff0c\u5706\u9891\u7387\uff08\u03c9\uff09\u53d6\u4e0d\u540c\u7684\u503c\u8fdb\u884c\u52a8\u529b\u65f6\u7a0b\u5206\u6790\uff0c\u5c06\u83b7\u5f97\u54cd\u5e94\u6700\u5927\u503c\u4f5c\u4e3a\u7eb5\u5750\u6807\uff0c\u5706\u9891\u7387\uff08\u03c9\uff09\u4e3a\u6a2a\u5750\u6807\u7ed8\u56fe\uff0c\u5c31\u5f97\u5230\u53cd\u5e94\u8c31\u66f2\u7ebf\u3002 \u5e38\u7528\u7684\u5730\u9707\u53cd\u5e94\u8c31\uff08Commonly used Response Spectra\uff09 \uff081\uff09\u53cd\u5e94\u8c31\uff08Response Spectra\uff09 \u5f53\u6700\u5927\u54cd\u5e94\u5206\u522b\u53d6\u76f8\u5bf9\u4f4d\u79fb\u3001\u76f8\u5bf9\u901f\u5ea6\u3001\u7edd\u5bf9\u52a0\u901f\u5ea6\u65f6\uff0c\u6211\u4eec\u53ef\u83b7\u5f97\u4ee5\u4e0b\u53cd\u5e94\u8c31\uff1a \u76f8\u5bf9\u4f4d\u79fb\u53cd\u5e94\u8c31\uff1a \u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a \u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a \uff082\uff09\u4f2a\u53cd\u5e94\u8c31\uff08Pseudo-Response Spectra\uff09 \u53e6\u5916\uff0c\u5de5\u7a0b\u4e2d\u8fd8\u5e38\u7528\u5230\u4f2a\u53cd\u5e94\u8c31\u3002\u6240\u8c13\u4f2a\u53cd\u5e94\u8c31\u662f\u6307\uff0c\u5f53\u6211\u4eec\u83b7\u5f97\u76f8\u5bf9\u4f4d\u79fb\u4f4d\u79fb\u53cd\u5e94\u8c31\u540e\uff0c\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u83b7\u5f97\u4f2a\u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\u3001\u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a \u4f2a\u76f8\u5bf9\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a \u4f2a\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff1a 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