{"id":16194,"date":"2021-04-19T17:15:26","date_gmt":"2021-04-19T09:15:26","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=16194"},"modified":"2026-02-11T00:44:47","modified_gmt":"2026-02-10T16:44:47","slug":"dynamics%e5%8a%a8%e5%8a%9b%e5%ad%a6-%e6%8c%af%e5%9e%8b%e5%90%91%e9%87%8f%e5%bd%92%e4%b8%80%e6%98%af%e5%90%a6%e5%af%b9%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e6%9c%89%e5%bd%b1%e5%93%8d","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=16194","title":{"rendered":"[\u52a8\u529b\u5b66] \u632f\u578b\u5411\u91cf\u5f52\u4e00\u662f\u5426\u5bf9\u8ba1\u7b97\u7ed3\u679c\u6709\u5f71\u54cd?"},"content":{"rendered":"<p><script id=\"MathJax-script\" async=\"\" src=\"http:\/\/www.jdcui.com\/wp-content\/MathJax_3_1_2\/MathJax-master\/es5\/tex-mml-chtml.js\"><\/script><\/p>\n<p><span style=\"color: #ff00ff; background-color: #ccffcc;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>\u9898\u76ee\u5982\u9898\uff0c\u7ed3\u8bba\u80af\u5b9a\u662f\u6ca1\u6709\u5f71\u54cd\u7684\uff0c\u56e0\u4e3a\u632f\u578b\u5411\u91cf\u672c\u6765\u5c31\u662f\u4e0d\u5b9a\u7684\uff0c\u632f\u578b\u5143\u7d20\u4e4b\u95f4\u53ea\u6709\u76f8\u5bf9\u5173\u7cfb\uff0c\u8981\u6c42\u89e3\u632f\u578b\u5411\u91cf\u5143\u7d20\u7684\u5177\u4f53\u503c\uff0c\u5fc5\u987b\u5bf9\u632f\u578b\u5411\u91cf\u8fdb\u884c\u6807\u51c6\u5316\u3002\u7b80\u5355\u8bf4\u5373\u5148\u5047\u5b9a\u67d0\u4e2a\u5143\u7d20\u7684\u503c\uff0c\u7136\u540e\u624d\u80fd\u6c42\u89e3\u51fa\u5176\u4f59\u5143\u7d20\u7684\u503c\u3002<\/p>\n<p>\u6700\u8fd1\u5728\u7814\u7a76\u8212\u9002\u5ea6\uff0c\u987a\u4fbf\u628a\u76f8\u5173\u4e1c\u897f\u6574\u7406\u4e00\u4e0b\uff0c\u6b63\u597d\u8fd8\u6709\u5c0f\u4f19\u4f34\u95ee\uff0c\u540c\u65f6\u6b63\u597d\u6d4b\u8bd5\u4e00\u4e0b\u5728\u7f51\u7ad9\u4e0a\u7528LATEX\u5199\u516c\u5f0f\uff0c\u770b\u770b\u662f\u4e0d\u662f\u4f1a\u4e13\u4e1a\u70b9\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u57fa\u672c\u516c\u5f0f<\/strong><\/li>\n<\/ul>\n<p>\u7ed3\u6784\u7684\u8fd0\u52a8\u65b9\u7a0b\uff1a<\/p>\n<p>\\[[M]\\{ \\ddot u\\} + [C]\\{ \\dot u\\} + [K]\\{ u\\} = \\{ P\\}\u00a0 \uff08\u516c\u5f0f1\uff09 \\]\n<p>\u5c06\u4f4d\u79fb\u5411\u91cf\\(\\{ u\\} \\) \u7528\u632f\u578b\u5c55\u5f00\uff0c<\/p>\n<p>\\[\\{ u\\} = [\\phi ]\\{ q\\} = \\sum\\limits_{n = 1}^N {\\left( {{{\\left\\{ \\phi \\right\\}}_n} \\times {q_{\\rm{n}}}} \\right)}\u00a0 \uff08\u516c\u5f0f2\uff09\u00a0\\]\n<p>\u5176\u4e2d\uff0cN\u4e3a\u7ed3\u6784\u52a8\u529b\u81ea\u7531\u5ea6\u7684\u6570\u91cf\uff0c \\({\\left\\{ \\phi \\right\\}_n}\\) \u4e3a\u7b2cn\u4e2a\u632f\u578b\uff0c \\({q_{\\rm{n}}}\\) \u4e3a\u5e7f\u4e49\u5750\u6807\uff0c\u53c8\u79f0\u4e3a\u632f\u578b\u5750\u6807\u3002<\/p>\n<p>\u5047\u5b9a\u963b\u5c3c\u77e9\u9635\u4e3a\u7ecf\u5178\u963b\u5c3c\uff0c\u8d77\u5229\u7528\u632f\u578b\u7684\u6b63\u4ea4\u6027\uff0c\u53ef\u83b7\u5f97N\u4e2a\u89e3\u8026\u7684\u5355\u81ea\u7531\u5ea6\u8fd0\u52a8\u65b9\u7a0b\uff1a<\/p>\n<p>\\[{\\ddot q_n} + 2{\\varsigma _n}{\\omega _n}{\\dot q_n} + \\omega _{\\rm{n}}^2{q_n} = \\frac{{\\left\\{ \\phi \\right\\}_n^T\\left\\{ P \\right\\}}}{{\\left\\{ \\phi \\right\\}_n^T[M]{{\\left\\{ \\phi \\right\\}}_n}}}, \\left( {n = 1,2, \\ldots ,N} \\right)\u00a0 \uff08\u516c\u5f0f3\uff09\\]\n<p>\u901a\u8fc7\u4e0a\u516c\u5f0f3\uff0c\u53ef\u6c42\u89e3\u632f\u578b\u5750\u6807 \\({q_{\\rm{n}}}\\) \uff0c\u5e76\u5e26\u5165\u516c\u5f0f2\uff0c\u5373\u53ef\u83b7\u5f97\u7ed3\u6784\u7684\u54cd\u5e94\u3002<\/p>\n<p>\u4ee4 \\({\\left\\{ \\phi \\right\\}_n} = \\alpha {\\left\\{ \\psi \\right\\}_n}\\)\uff0c\u5176\u4e2d \\({\\left\\{ \\psi \\right\\}_n}\\) \u4e3a\u5f52\u4e00\u540e\u7684\u632f\u578b\u5411\u91cf\uff0c\\(\\alpha \\) \u4e3a\u5f52\u4e00\u7cfb\u6570\uff0c\u6216\u8005\u8bf4\u662f\u4e00\u4e2a\u6bd4\u4f8b\u7cfb\u6570\u3002<\/p>\n<p>\u5c06 \\({\\left\\{ \\phi \\right\\}_n} = \\alpha {\\left\\{ \\psi \\right\\}_n}\\) \u4ee3\u5165\u516c\u5f0f3\uff1a<\/p>\n<p>\\[{\\ddot q_n} + 2{\\varsigma _n}{\\omega _n}{\\dot q_n} + \\omega _{\\rm{n}}^2{q_n} = \\frac{{\\left\\{ \\phi \\right\\}_n^T\\left\\{ P \\right\\}}}{{\\left\\{ \\phi \\right\\}_n^T[M]{{\\left\\{ \\phi \\right\\}}_n}}} = \\frac{{\\left\\{ \\psi \\right\\}_n^T\\left\\{ P \\right\\}}}{{\\alpha \\left\\{ \\psi \\right\\}_n^T[M]{{\\left\\{ \\psi \\right\\}}_n}}}, \\left( {n = 1,2, \\ldots ,N} \\right)\u00a0 \uff08\u516c\u5f0f4\uff09\\]\n<p>\u540c\u7406\uff0c\u4f4d\u79fb\u5411\u91cf \\(\\{ u\\} \\) \u4e5f\u53ef\u4ee5\u7528\u632f\u578b\u5c55\u5f00\u4e3a\uff1a<\/p>\n<p>\\[\\{ u\\} = [\\psi ]\\{ d\\} = \\sum\\limits_{n = 1}^N {\\left( {{{\\left\\{ \\psi \\right\\}}_n} \\times {d_{\\rm{n}}}} \\right)} , \\left( {n = 1,2, \\ldots ,N} \\right)\u00a0 \u00a0 \uff08\u516c\u5f0f5\uff09\\]\n<p>\u76f8\u5e94\u7684N\u4e2a\u89e3\u8026\u7684\u5355\u81ea\u7531\u5ea6\u8fd0\u52a8\u65b9\u7a0b\u4e3a\uff1a<\/p>\n<p>\\[{\\ddot d_n} + 2{\\varsigma _n}{\\omega _n}{\\dot d_n} + \\omega _{\\rm{n}}^2{d_n} = \\frac{{\\left\\{ \\psi \\right\\}_n^T\\left\\{ P \\right\\}}}{{\\left\\{ \\psi \\right\\}_n^T[M]{{\\left\\{ \\psi \\right\\}}_n}}}, \\left( {n = 1,2, \\ldots ,N} \\right)\u00a0 \uff08\u516c\u5f0f6\uff09\\]\n<p>\u5bf9\u6bd4\u516c\u5f0f4\u7ea7\u516c\u5f0f6\u53ef\u77e5\uff1a<\/p>\n<p>\\[{q_n} = \\frac{{{d_n}}}{\\alpha } \uff08\u516c\u5f0f7\uff09\\]\n<p>\u7ed3\u5408\u516c\u5f0f7\uff0c\u516c\u5f0f2\u6574\u7406\u4e3a\uff1a<\/p>\n<p>\\[\\left\\{ u \\right\\} = \\sum\\limits_{n = 1}^N {\\left( {{{\\left\\{ \\phi \\right\\}}_n} \\times {q_{\\rm{n}}}} \\right)} = \\sum\\limits_{n = 1}^N {\\left( {\\alpha {{\\left\\{ \\psi \\right\\}}_n} \\times {q_{\\rm{n}}}} \\right)} = \\sum\\limits_{n = 1}^N {\\left( {\\alpha {{\\left\\{ \\psi \\right\\}}_n} \\times \\frac{{{d_n}}}{\\alpha }} \\right)} = \\sum\\limits_{n = 1}^N {\\left( {{{\\left\\{ \\psi \\right\\}}_n} \\times {d_n}} \\right)} \\]\n<p>\u5373\u516c\u5f0f2\u7b49\u4e8e\u516c\u5f0f5\uff0c\u5373\u632f\u578b\u5411\u91cf\u662f\u5426\u5f52\u4e00\uff0c\u6216\u8005\u8bf4\u632f\u578b\u5411\u91cf\u8fdb\u884c\u7f29\u653e\u5bf9\u7ed3\u679c\u4e0d\u5f71\u54cd\uff0c\u56e0\u4e3a\u7ed3\u6784\u7684\u54cd\u5e94\u662f\u632f\u578b\u5411\u91cf\u4e0e\u632f\u578b\u5750\u6807\u7684\u4e58\u79ef\u6c42\u548c\u3002\u5f53\u632f\u578b\u5411\u91cf\u653e\u5927 \\(\\alpha \\) \u500d\u540e\uff0c\u632f\u578b\u5750\u6807\u4f1a\u7f29\u5c0f \\(\\alpha \\) \u500d\uff0c\u4e58\u79ef\u4e0d\u53d8\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li>\u5c0f\u7ed3<\/li>\n<\/ul>\n<p>\u632f\u578b\u5411\u91cf\u662f\u5426\u5f52\u4e00\uff0c\u6216\u8005\u632f\u578b\u5411\u91cf\u8fdb\u884c\u7f29\u653e\u5bf9\u7ed3\u679c\u4e0d\u5f71\u54cd\uff0c\u56e0\u4e3a\u7ed3\u6784\u7684\u54cd\u5e94\u662f\u632f\u578b\u5411\u91cf\u4e0e\u632f\u578b\u5750\u6807\u7684\u4e58\u79ef\u6c42\u548c\u3002\u5f53\u632f\u578b\u5411\u91cf\u653e\u5927 \\(\\alpha \\) \u500d\u540e\uff0c\u632f\u578b\u5750\u6807\u4f1a\u7f29\u5c0f\\(\\alpha \\)\u500d\uff0c\u4e58\u79ef\u4e0d\u53d8\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong><span style=\"color: #0000ff;\"><span style=\"color: #000000;\">\u76f8\u5173\u535a\u6587<\/span>( Related Posts )<\/span><\/strong><\/li>\n<\/ul>\n<p><strong>[01] <a href=\"http:\/\/www.jdcui.com\/?p=12486\" target=\"_blank\" rel=\"noopener noreferrer\">[Structural Dynamics][Mode superposition] \u632f\u578b\u53c2\u4e0e\u8d28\u91cf\u7cfb\u6570(Participating Mass Ratio)<\/a><\/strong><\/p>\n<p><strong>[02] <a href=\"http:\/\/www.jdcui.com\/?p=12478\" target=\"_blank\" rel=\"noopener noreferrer\">[\u52a8\u529b\u5b66][\u632f\u578b\u5206\u89e3][Mode Superposition] \u632f\u578b\u5411\u91cf\u4e0e\u632f\u578b\u53c2\u4e0e\u7cfb\u6570\u7684\u4e58\u79ef\u516c\u5f0f\u63a8\u5bfc<\/a><\/strong><\/p>\n<p><strong>[03] <a href=\"http:\/\/www.jdcui.com\/?p=12476\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7ed3\u6784\u8bbe\u8ba1][\u5730\u9707\u4f5c\u7528][\u89c4\u8303] \u632f\u578b\u5206\u89e3\u53cd\u5e94\u8c31\u6cd5\u7684\u4e00\u4e9b\u6982\u5ff5\u603b\u7ed3 (Basic Concepts of Response Spectra Method)<\/a><\/strong><\/p>\n<p><strong>[04] <a title=\"[\u52a8\u529b\u5b66][SAP2000] SAP2000\u4e2d\u632f\u578b\u5411\u91cf\u7684\u6807\u51c6\u5316\u65b9\u6cd5\" href=\"http:\/\/www.jdcui.com\/?p=16075\" target=\"_blank\" rel=\"noopener noreferrer\">[\u52a8\u529b\u5b66][SAP2000] SAP2000\u4e2d\u632f\u578b\u5411\u91cf\u7684\u6807\u51c6\u5316\u65b9\u6cd5<\/a><\/strong><\/p>\n<p><strong>[05] <a title=\"[Dynamics][\u52a8\u529b\u5b66][SAP2000] \u6881\u7684\u632f\u52a8\u5f62\u6001\u53ca\u5e7f\u4e49\u632f\u578b\u8d28\u91cf\" href=\"http:\/\/www.jdcui.com\/?p=15984\" target=\"_blank\" rel=\"noopener noreferrer\">[Dynamics][\u52a8\u529b\u5b66][SAP2000] \u6881\u7684\u632f\u52a8\u5f62\u6001\u53ca\u632f\u578b\u8d28\u91cf<\/a><\/strong><\/p>\n<p><strong>[06] <a title=\"[\u5730\u9707][\u52a8\u529b\u5b66][Dynamics][MATLAB] \u5c06\u963b\u5c3c\u77e9\u9635\u7684\u975e\u5bf9\u89d2\u7ebf\u5143\u7d20\u53d6\u4e3a0\u8ba1\u7b97\u7ed3\u679c\u4f1a\u600e\u4e48\u6837\uff1f\" href=\"http:\/\/www.jdcui.com\/?p=15882\" target=\"_blank\" rel=\"noopener noreferrer\">[\u5730\u9707][\u52a8\u529b\u5b66][Dynamics][MATLAB] \u5c06\u963b\u5c3c\u77e9\u9635\u7684\u975e\u5bf9\u89d2\u7ebf\u5143\u7d20\u53d6\u4e3a0\u8ba1\u7b97\u7ed3\u679c\u4f1a\u600e\u4e48\u6837\uff1f<\/a><\/strong><\/p>\n<p><strong>[07] <a title=\"[\u5730\u9707][\u52a8\u529b\u5b66] \u5bf9\u79f0\u7ed3\u6784\u7684\u5730\u9707\u526a\u529b\u89c4\u5f8b\" href=\"http:\/\/www.jdcui.com\/?p=15837\" target=\"_blank\" rel=\"noopener noreferrer\">[\u5730\u9707][\u52a8\u529b\u5b66] \u5bf9\u79f0\u7ed3\u6784\u7684\u5730\u9707\u526a\u529b\u89c4\u5f8b<\/a><\/strong><\/p>\n<p><strong>[08] <a title=\"[\u6297\u9707][\u52a8\u529b\u5b66] \u5bf9\u4e8e\u6574\u4f53\u7ed3\u6784\uff0cX\u5411\u5730\u9707\u4f5c\u7528\u4e0b\u6709Y\u5411\u526a\u529b\u5417\uff1f\u6709\uff01\uff01\" href=\"http:\/\/www.jdcui.com\/?p=15759\" target=\"_blank\" rel=\"noopener noreferrer\">[\u6297\u9707][\u52a8\u529b\u5b66] \u5bf9\u4e8e\u6574\u4f53\u7ed3\u6784\uff0cX\u5411\u5730\u9707\u4f5c\u7528\u4e0b\u6709Y\u5411\u526a\u529b\u5417\uff1f\u6709\uff01\uff01<\/a><\/strong><\/p>\n<p><strong>[09] <a title=\"[\u6297\u9707][\u5730\u9707\u8ba1\u7b97][\u52a8\u529b\u5b66] \u968f\u7740\u963b\u5c3c\u6bd4\u7684\u589e\u52a0\u7ed3\u6784\u7684\u5730\u9707\u54cd\u5e94\u662f\u5982\u4f55\u53d8\u5316\u7684\uff1f\" href=\"http:\/\/www.jdcui.com\/?p=15478\" target=\"_blank\" rel=\"noopener noreferrer\">[\u6297\u9707][\u5730\u9707\u8ba1\u7b97][\u52a8\u529b\u5b66] \u968f\u7740\u963b\u5c3c\u6bd4\u7684\u589e\u52a0\u7ed3\u6784\u7684\u5730\u9707\u54cd\u5e94\u662f\u5982\u4f55\u53d8\u5316\u7684\uff1f<\/a><\/strong><\/p>\n<p><strong>[10] <a title=\"[\u5730\u9707\u8ba1\u7b97][\u53cd\u5e94\u8c31][\u52a8\u529b\u5b66][CQC] \u632f\u578b\u53e0\u52a0\u6cd5\u968f\u7740\u7ec4\u5408\u632f\u578b\u6570\u91cf\u7684\u589e\u52a0\u5404\u79cd\u54cd\u5e94\u91cf\u662f\u600e\u4e48\u53d8\u5316\u7684\uff1f\" href=\"http:\/\/www.jdcui.com\/?p=15398\" target=\"_blank\" rel=\"noopener noreferrer\">[\u5730\u9707\u8ba1\u7b97][\u53cd\u5e94\u8c31][\u52a8\u529b\u5b66][CQC] \u632f\u578b\u53e0\u52a0\u6cd5\u968f\u7740\u7ec4\u5408\u632f\u578b\u6570\u91cf\u7684\u589e\u52a0\u5404\u79cd\u54cd\u5e94\u91cf\u662f\u600e\u4e48\u53d8\u5316\u7684\uff1f<\/a><\/strong><\/p>\n<p><strong>[11] <a title=\"[\u7ed3\u6784\u8bbe\u8ba1][\u52a8\u529b\u5b66] YJK\u4e2dCQC\u632f\u578b\u7ec4\u5408\u5730\u9707\u529b\u7684\u590d\u6838\" href=\"http:\/\/www.jdcui.com\/?p=10663\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7ed3\u6784\u8bbe\u8ba1][\u52a8\u529b\u5b66] YJK\u4e2dCQC\u632f\u578b\u7ec4\u5408\u5730\u9707\u529b\u7684\u590d\u6838<\/a><\/strong><\/p>\n<p><strong>[12] <a title=\"[YJK][\u52a8\u529b\u5b66] \u9010\u6b65\u52a0\u5927\u7ed3\u6784\u5bbd\u5ea6\u7ed3\u6784\u5468\u671f\u7684\u53d8\u5316\u7b97\u4f8b\u6d4b\u7b97\" href=\"http:\/\/www.jdcui.com\/?p=15373\" target=\"_blank\" rel=\"noopener noreferrer\">[YJK][\u52a8\u529b\u5b66] \u9010\u6b65\u52a0\u5927\u7ed3\u6784\u5bbd\u5ea6\u7ed3\u6784\u5468\u671f\u7684\u53d8\u5316\u7b97\u4f8b\u6d4b\u7b97<\/a><\/strong><\/p>\n<p><strong>[13] <a title=\"[\u52a8\u529b\u5b66][Structure Dynamics] \u7ebf\u6027\u589e\u52a0\u521a\u5ea6K\u4e0e\u8d28\u91cfM\u4e0b\u5355\u81ea\u7531\u5ea6(SDOF)\u7ed3\u6784\u7684\u5468\u671f\u53d8\u5316\" href=\"http:\/\/www.jdcui.com\/?p=15362\" target=\"_blank\" rel=\"noopener noreferrer\">[\u52a8\u529b\u5b66][Structure Dynamics] \u7ebf\u6027\u589e\u52a0\u521a\u5ea6K\u4e0e\u8d28\u91cfM\u4e0b\u5355\u81ea\u7531\u5ea6(SDOF)\u7ed3\u6784\u7684\u5468\u671f\u53d8\u5316<\/a><\/strong><\/p>\n<p><strong>[14] <a title=\"[\u53cd\u5e94\u8c31][\u52a8\u529b\u5b66][\u6297\u9707] \u4e0d\u540c\u963b\u5c3c\u6bd4\u53cd\u5e94\u8c31\u66f2\u7ebf\u7684\u76f8\u4ea4\u73b0\u8c61 (The Curve Intersection Phenomenon of Response Spectra with Different Damping Ratios)\" href=\"http:\/\/www.jdcui.com\/?p=15305\" target=\"_blank\" rel=\"noopener noreferrer\">[\u53cd\u5e94\u8c31][\u52a8\u529b\u5b66][\u6297\u9707] \u4e0d\u540c\u963b\u5c3c\u6bd4\u53cd\u5e94\u8c31\u66f2\u7ebf\u7684\u76f8\u4ea4\u73b0\u8c61 (The Curve Intersection Phenomenon of Response Spectra with Different Damping Ratios)<\/a><\/strong><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-16194\" data-content-id=\"16194\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(16194, 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#ff00ff;\">\u7ed3\u6784\u4e4b\u65c5<\/span>\u201d\u00a0\u5fae\u4fe1\u516c\u4f17\u53f7<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002 \u9898\u76ee\u5982\u9898\uff0c\u7ed3\u8bba\u80af\u5b9a\u662f\u6ca1\u6709\u5f71\u54cd\u7684\uff0c\u56e0\u4e3a\u632f\u578b\u5411\u91cf\u672c\u6765\u5c31\u662f\u4e0d\u5b9a\u7684\uff0c\u632f\u578b\u5143\u7d20\u4e4b\u95f4\u53ea\u6709\u76f8\u5bf9\u5173\u7cfb\uff0c\u8981\u6c42\u89e3\u632f\u578b\u5411\u91cf\u5143\u7d20\u7684\u5177\u4f53\u503c\uff0c\u5fc5\u987b\u5bf9\u632f\u578b\u5411\u91cf\u8fdb\u884c\u6807\u51c6\u5316\u3002\u7b80\u5355\u8bf4\u5373\u5148\u5047\u5b9a\u67d0\u4e2a\u5143\u7d20\u7684\u503c\uff0c\u7136\u540e\u624d\u80fd\u6c42\u89e3\u51fa\u5176\u4f59\u5143\u7d20\u7684\u503c\u3002 \u6700\u8fd1\u5728\u7814\u7a76\u8212\u9002\u5ea6\uff0c\u987a\u4fbf\u628a\u76f8\u5173\u4e1c\u897f\u6574\u7406\u4e00\u4e0b\uff0c\u6b63\u597d\u8fd8\u6709\u5c0f\u4f19\u4f34\u95ee\uff0c\u540c\u65f6\u6b63\u597d\u6d4b\u8bd5\u4e00\u4e0b\u5728\u7f51\u7ad9\u4e0a\u7528LATEX\u5199\u516c\u5f0f\uff0c\u770b\u770b\u662f\u4e0d\u662f\u4f1a\u4e13\u4e1a\u70b9\u3002 \u57fa\u672c\u516c\u5f0f \u7ed3\u6784\u7684\u8fd0\u52a8\u65b9\u7a0b\uff1a \\[[M]\\{ \\ddot u\\} + [C]\\{ \\dot u\\} + [K]\\{ u\\} = \\{ P\\}\u00a0 \uff08\u516c\u5f0f1\uff09 \\] \u5c06\u4f4d\u79fb\u5411\u91cf\\(\\{ u\\} \\) \u7528\u632f\u578b\u5c55\u5f00\uff0c \\[\\{ u\\} = [\\phi ]\\{ q\\} &#8230;<\/p>\n","protected":false},"author":1,"featured_media":12488,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[382,157,31,1087,7,5],"tags":[383,3024,3014,139,1947,280,443,1937,1633,3025,140,229],"class_list":["post-16194","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics-","category-earthquake-engineering-","category-my-software-","category-structural-analysis-","category-structural-design","category-structural-engineering","tag-dynamics","tag-dynamics-of","tag-latex","tag-modal-analysis","tag-structural-dynamics","tag-280","tag-443","tag-1937","tag-1633","tag-3025","tag-140","tag-229"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"dynamics,dynamics 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