{"id":16299,"date":"2021-06-03T13:21:33","date_gmt":"2021-06-03T05:21:33","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=16299"},"modified":"2026-02-15T09:35:26","modified_gmt":"2026-02-15T01:35:26","slug":"dynamics%e5%8a%a8%e5%8a%9b%e5%ad%a6%e6%8a%97%e9%9c%87-%e7%ad%89%e6%95%88%e5%9c%b0%e9%9c%87%e5%8a%9b%e4%b8%8e%e4%bc%aa%e5%8a%a0%e9%80%9f%e5%ba%a6%e5%8f%8d%e5%ba%94%e8%b0%b1","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=16299","title":{"rendered":"[\u7ed3\u6784\u52a8\u529b\u5b66] \u7b49\u6548\u5730\u9707\u529b\u4e0e\u4f2a\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31 (Equivalent Static Lateral Seismic Force and Pseudo-Acceleration Spectrum)"},"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>\u300a\u5efa\u7b51\u6297\u9707\u8bbe\u8ba1\u89c4\u8303\u300b\uff08GB50011-2010\uff09\u4e2d\u7ed9\u51fa\u4e86\u91c7\u7528\u632f\u578b\u5206\u89e3\u53cd\u5e94\u8c31\u6cd5\u8ba1\u7b97\u5730\u9707\u4f5c\u7528\u65f6\u7684\u5730\u9707\u529b\u8ba1\u7b97\u516c\u5f0f\uff1a\\({F_{ji}} = {\\alpha _j}{\\gamma _j}{X_{ji}}{G_i}\\)\uff0c\u5176\u4e2d\\({\\gamma _j} = \\frac{{\\sum\\limits_{i = 1}^n {{X_{ji}}{G_i}} }}{{\\sum\\limits_{i = 1}^n {X_{ji}^2{G_i}} }}\\)\uff0c\\({F_{ji}}\\)\u4e3aj\u632f\u578bi\u8d28\u70b9\u7684\u6c34\u5e73\u5730\u9707\u4f5c\u7528\u6807\u51c6\u503c\uff1b\\({\\alpha _j}\\)\u4e3a\u76f8\u5e94\u4e8ej\u632f\u578b\u81ea\u632f\u5468\u671f\u7684\u5730\u9707\u5f71\u54cd\u7cfb\u6570\uff1b\\({X_{ji}}\\)\u4e3aj\u632f\u578bi\u8d28\u70b9\u7684\u6c34\u5e73\u76f8\u5bf9\u4f4d\u79fb\uff1b\\({\\gamma _j}\\)\u4e3a\u632f\u578b\u7684\u53c2\u4e0e\u7cfb\u6570\u3002\u4ee5\u4e0b\u6839\u636e\u7ed3\u6784\u52a8\u529b\u5b66\u7684\u76f8\u5173\u7406\u8bba\uff0c\u7ed9\u51fa\u4e0a\u8ff0\u516c\u5f0f\u7684\u4e00\u79cd\u63a8\u5bfc\u3002<\/p>\n<h3><span style=\"font-size: 12pt;\">1\u591a\u81ea\u7531\u5ea6\u4f53\u7cfb\u632f\u578b\u5206\u89e3\u6cd5 <span style=\"color: #0000ff;\"><strong>Mode Superposition Method<\/strong><\/span><\/span><\/h3>\n<p>\u5bf9\u4e8e\u591a\u8d28\u70b9\u4f53\u7cfb\uff0c\u5730\u9707\u52a8\u529b\u65b9\u7a0b\u4e3a\uff1a<\/p>\n<p>$${\\left[ M \\right]\\left\\{ {\\ddot u} \\right\\} + \\left[ C \\right]\\left\\{ {\\dot u} \\right\\} + \\left[ K \\right]\\left\\{ u \\right\\} = &#8211; \\left[ M \\right]\\left\\{ {{{\\ddot u}_g}} \\right\\}}\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u5f0f\uff081\uff09$$<\/p>\n<p>\u5c06\\(\\left\\{ u \\right\\}\\)\u6309\u632f\u578b\u5c55\u5f00\uff0c\u5373 \\(\\left\\{ u \\right\\} = \\left[ \\phi \\right]\\left\\{ q \\right\\}\\)\uff0c\u8fdb\u4e00\u6b65\u5c55\u5f00\u4e3a\uff1a<\/p>\n<p>$${\\left\\{ u \\right\\} = \\left[ \\phi \\right]\\left\\{ q \\right\\} = \\left\\{ {{\\phi _1}} \\right\\}{q_1} + \\left\\{ {{\\phi _2}} \\right\\}{q_2} + \\left\\{ {{\\phi _3}} \\right\\}{q_3} + \\ldots + \\left\\{ {{\\phi _n}} \\right\\}{q_n}}$$<\/p>\n<p>\u5c06\u5f0f\uff081\uff09\u4e24\u8fb9\u540c\u65f6\u4e58\\({\\left[ \\phi \\right]^T}\\)\uff0c\u5f97\u4e0b\u5f0f\uff1a<\/p>\n<p>$${{\\left[ \\phi \\right]^T}\\left[ M \\right]\\left[ \\phi \\right]\\left\\{ {\\ddot q} \\right\\} + {\\left[ \\phi \\right]^T}\\left[ C \\right]\\left[ \\phi \\right]\\left\\{ {\\dot q} \\right\\} + {\\left[ \\phi \\right]^T}\\left[ K \\right]\\left[ \\phi \\right]\\left\\{ q \\right\\} = {\\left[ \\phi \\right]^T}\\left[ M \\right]\\left\\{ {{{\\ddot u}_g}} \\right\\}}\u00a0 \u5f0f\uff082\uff09$$<\/p>\n<p>\u6839\u636e\u632f\u578b\u6b63\u4ea4\u6027\uff0c\u5e76\u5047\u5b9a\u963b\u5c3c\u4e3a\u7ecf\u5178\u963b\u5c3c\uff0c\u53ef\u77e5 \\({\\left[ \\phi \\right]^T}\\left[ M \\right]\\left[ \\phi \\right]\\)\u3001\\({\\left[ \\phi \\right]^T}\\left[ C \\right]\\left[ \\phi \\right]\\)\u3001\\({\\left[ \\phi \\right]^T}\\left[ K \\right]\\left[ \\phi \\right]\\)\u5747\u4e3a\u5bf9\u89d2\u77e9\u9635\uff0c\u5176\u5bf9\u89d2\u5143\u7d20\u522b\u4e3a\\({M_n} = {\\left\\{ {{\\phi _n}} \\right\\}^T}{\\left[ M \\right]_n}\\left\\{ {{\\phi _n}} \\right\\}\\)\u3001\\({C_n} = {\\left\\{ {{\\phi _n}} \\right\\}^T}{\\left[ C \\right]_n}\\left\\{ {{\\phi _n}} \\right\\}\\)\u53ca\\({K_n} = {\\left\\{ {{\\phi _n}} \\right\\}^T}{\\left[ K \\right]_n}\\left\\{ {{\\phi _n}} \\right\\}\\)\uff0c\\({M_n}\\)\uff0c\\({C_n}\\)\uff0c\\({K_n}\\)\u5206\u522b\u4e3a\u632f\u578b\u8d28\u91cf\uff0c\u632f\u578b\u963b\u5c3c\u548c\u632f\u578b\u521a\u5ea6\u3002<\/p>\n<p>\u7531\u516c\u5f0f\uff082\uff09\uff0c\u53ef\u4ee5\u5f97\u5230n\u4e2a\u5355\u81ea\u7531\u5ea6\u65b9\u7a0b\uff1a<\/p>\n<p>$${{M_n}{\\ddot q_n} + {C_n}{\\dot q_n} + {K_n}{q_n} = &#8211; {\\left\\{ {{\\phi _n}} \\right\\}^T}\\left[ M \\right]\\left\\{ {{{\\ddot u}_g}} \\right\\}}\u00a0 \u5f0f\uff083\uff09$$<\/p>\n<p>\u4e24\u8fb9\u540c\u65f6\u9664\u4ee5\\({M_n}\\)\u53ef\u5f97\uff1a<\/p>\n<p>$${{\\ddot q_n} + \\frac{{{C_n}}}{{{M_n}}}{\\dot q_n} + \\frac{{{K_n}}}{{{M_n}}}{q_n} = &#8211; \\frac{{{{\\left\\{ {{\\phi _n}} \\right\\}}^T}\\left[ M \\right]}}{{{M_n}}}\\left\\{ {{{\\ddot u}_g}} \\right\\} = &#8211; {\\gamma _n}\\left\\{ {{{\\ddot u}_g}} \\right\\}}\u00a0 \u5f0f\uff084\uff09$$<\/p>\n<p>\u5176\u4e2d\\({\\gamma _n} = \\frac{{{{\\left\\{ {{\\phi _n}} \\right\\}}^T}\\left[ M \\right]}}{{{M_n}}} = \\frac{{{{\\left\\{ {{\\phi _n}} \\right\\}}^T}\\left[ M \\right]}}{{{{\\left\\{ {{\\phi _n}} \\right\\}}^T}{{\\left[ M \\right]}_n}\\left\\{ {{\\phi _n}} \\right\\}}}\\)\uff0c\u5373\u4e3a\u632f\u578b\u53c2\u4e0e\u7cfb\u6570\uff0c\u5bf9\u5e94\u516c\u5f0f\\({\\gamma _j} = \\frac{{\\sum\\limits_{i = 1}^n {{X_{ji}}{G_i}} }}{{\\sum\\limits_{i = 1}^n {X_{ji}^2{G_i}} }}\\)\u3002\u540c\u65f6\u4e5f\u53ef\u53d1\u73b0\uff0c\u516c\u5f0f\uff084\uff09\u662f\u5355\u81ea\u7531\u5ea6\u65bd\u52a0\\({\\gamma _j}\\)\u500d\u5730\u9707\u52a0\u901f\u5ea6\u7684\u5730\u9707\u52a8\u529b\u5e73\u8861\u65b9\u7a0b\u3002<\/p>\n<h3>2 <span style=\"font-size: 12pt;\">\u7b49\u6548\u5730\u9707\u529b <span style=\"color: #0000ff;\">Equivalent Static Lateral Seismic Force<\/span><\/span><\/h3>\n<p>\u7ed3\u6784\u53d7\u5230\u7684\u7b49\u6548\u5730\u9707\u529b\u53ef\u8868\u793a\u4e3a\u7ed3\u6784\u521a\u5ea6\u4e0e\u4fa7\u5411\u4f4d\u79fb\u7684\u4e58\u79ef\uff0c\u5373\uff1a<\/p>\n<p>$${\\left\\{ F \\right\\} = \\left[ K \\right]\\left\\{ u \\right\\}}\u5f0f\uff085\uff09$$<\/p>\n<p>\u6839\u636e\u632f\u578b\u5206\u89e3\uff0c\u53ef\u5bf9\u4f4d\u79fb\u8fdb\u884c\u5c55\u5f00\uff1a<\/p>\n<p>$${\\left\\{ F \\right\\} = \\left[ K \\right]\\left\\{ u \\right\\} = \\left[ K \\right]\\left[ \\phi \\right]\\left\\{ q \\right\\} = \\left[ K \\right]\\sum\\limits_{i = 1}^n {\\left\\{ {{\\phi _n}} \\right\\}{q_n}}}\u5f0f\uff086\uff09$$<\/p>\n<p>\u5176\u4e2d\uff0c\u7b2cn\u9636\u632f\u578b\u7684\u5730\u9707\u529b\u4e3a\uff1a<\/p>\n<p>$${{\\left\\{ F \\right\\}_n} = \\left[ K \\right]{\\left\\{ \\phi \\right\\}_n}{q_n}}\u5f0f\uff087\uff09$$<\/p>\n<p>\u7ed3\u6784\u8bbe\u8ba1\u5e38\u5173\u5fc3\u7684\u662f\u6700\u5927\u54cd\u5e94\uff0c\u6b64\u65f6\u7b2cn\u9636\u632f\u578b\u7684\u6700\u5927\u7684\u7b49\u6548\u5730\u9707\u529b\u53ef\u8868\u793a\u4e3a\uff1a<\/p>\n<p>$${{\\left\\{ F \\right\\}_{n,\\max }} = \\left[ K \\right]{\\left\\{ \\phi \\right\\}_n}{q_{n,max}}}\u5f0f\uff088\uff09$$<\/p>\n<p>\u7531\u5f0f\uff083\uff09\u53ef\u77e5\uff0c\\({q_{n,max}} = {\\gamma _n}{u_{n,max}}\\)\uff0c \\({u_{n,max}}\\)\u4e3a\u632f\u578b\u5468\u671f\u5bf9\u5e94\u7684\u76f8\u5bf9\u4f4d\u79fb\u8c31\u503c\uff0c\u6b64\u65f6\uff1a<\/p>\n<p>$${{\\left\\{ F \\right\\}_{n,\\max }} = \\left[ K \\right]{\\left\\{ \\phi \\right\\}_n}{\\gamma _n}{u_{n,max}}}\u5f0f\uff089\uff09$$<\/p>\n<p>\u6839\u636e\u7ed3\u6784\u52a8\u529b\u5b66\u76f8\u5173\u7406\u8bba\uff0c \u7ed3\u6784\u7684\u4f2a\u52a0\u901f\u5ea6\u8c31\\(PSA(\\omega ,\\zeta )\\)\u4e0e\u76f8\u5bf9\u4f4d\u79fb\u8c31\\(SD(\\omega ,\\zeta )\\)\u4e4b\u95f4\u5b58\u5728\u5982\u4e0b\u5173\u7cfb\uff1a\\(PSA(\\omega ,\\zeta ) = {\\omega ^2}SD(\\omega ,\\zeta )\\)\uff1b<\/p>\n<p>\u6839\u636e\u632f\u578b\u5206\u6790\u7684\u57fa\u672c\u7406\u8bba\uff0c\u7ed3\u6784\u7684\u521a\u5ea6\u77e9\u9635\u53ef\u8868\u793a\u4e3a\uff1a\\(\\left[ K \\right]{\\left\\{ \\phi \\right\\}_n} = \\omega _n^2\\left[ M \\right]{\\left\\{ \\phi \\right\\}_n}\\)\u3002<\/p>\n<p>\u5c06\u4e0a\u8ff0\u516c\u5f0f\u5e26\u5165\u516c\u5f0f\uff089\uff09\u53ef\u5f97\uff1a<\/p>\n<p>$${{\\left\\{ F \\right\\}_{n,\\max }} = \\omega _n^2\\left[ M \\right]{\\left\\{ \\phi \\right\\}_n}{\\gamma _n}{u_{n,max}} = \\omega _n^2\\left[ M \\right]{\\left\\{ \\phi \\right\\}_n}{\\gamma _n}\\frac{{PSA({\\omega _n},\\zeta )}}{{\\omega _n^2}} = {\\alpha _n}{\\gamma _n}\\left[ G \\right]{\\left\\{ \\phi \\right\\}_n}}\u5f0f\uff0810\uff09$$<\/p>\n<p>\u5f0f\u4e2d\uff0c\\(g\\) \u4e3a\u91cd\u529b\u52a0\u901f\u5ea6\uff0c\\(\\left[ G \\right] = \\left[ M \\right]g\\) \u4e3a\u7ed3\u6784\u91cd\u529b\u77e9\u9635\uff0c\\({\\alpha _n} = \\frac{{PSA({\\omega _n},\\zeta )}}{g}\\)\u3002\u53ef\u53d1\u73b0\uff0c\u516c\u5f0f\uff0810\uff09\u4e0e\u300a\u6297\u89c4\u300b\u4e2d\u5f0f\uff085.2.2-1\uff09\u662f\u76f8\u5bf9\u5e94\u7684\uff0c\u5176\u4e2d \\({\\alpha _n}\\)\u4e0e\u89c4\u8303\u5b9a\u4e49\u7684\u5730\u9707\u5f71\u54cd\u7cfb\u6570\u76f8\u5bf9\u5e94\u7684\u65e0\u91cf\u7eb2\u7cfb\u6570\u3002\u8fd9\u91cc\u6682\u4e14\u4e0d\u8ba8\u8bba\u89c4\u8303\u7684\u53cd\u5e94\u8c31\u662f\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u8fd8\u662f\u76f8\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\uff0c\u5728\u5c0f\u963b\u5c3c\u6bd4\u7684\u60c5\u51b5\u4e0b\uff0c\u7edd\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u53ca\u76f8\u5bf9\u52a0\u901f\u5ea6\u53cd\u5e94\u8c31\u5dee\u5f02\u5f88\u5c0f\u3002\u82e5\u5047\u5b9a\u7b49\u6548\u5730\u9707\u529b\u4e3a\u60ef\u6027\u529b\uff0c\u4e5f\u53ef\u4ee5\u63a8\u5bfc\u51fa\u7c7b\u4f3c\u7684\u516c\u5f0f\uff0810\uff09\u7684\u8868\u8fbe\u5f0f\uff0c\u6b64\u65f6 \\({\\alpha _n}\\)\u5219\u662f\u7edd\u5bf9\u52a0\u901f\u5ea6\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\u5e7f\u4e49\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<p><strong>[15] <a title=\"[\u52a8\u529b\u5b66][Dynamics][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][Dynamics][SAP2000] SAP2000\u4e2d\u632f\u578b\u5411\u91cf\u7684\u6807\u51c6\u5316\u65b9\u6cd5<\/a><\/strong><\/p>\n<p><strong>[16] <a title=\"[\u7ed3\u6784][YJK][\u8bbe\u8ba1] \u201c\u4e00\u6b21\u6027\u52a0\u8f7d\u201d\u3001\u201c\u6a21\u62df\u65bd\u5de51\u52a0\u8f7d\u201d\u53ca\u201c\u6a21\u62df\u65bd\u5de53\u52a0\u8f7d\u201d\u7684\u5dee\u522b\u53ca\u6848\u4f8b\u6d4b\u7b97 ( Construction Simulation )\" href=\"http:\/\/www.jdcui.com\/?p=16251\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7ed3\u6784][YJK][\u8bbe\u8ba1] \u201c\u4e00\u6b21\u6027\u52a0\u8f7d\u201d\u3001\u201c\u6a21\u62df\u65bd\u5de51\u52a0\u8f7d\u201d\u53ca\u201c\u6a21\u62df\u65bd\u5de53\u52a0\u8f7d\u201d\u7684\u5dee\u522b\u53ca\u6848\u4f8b\u6d4b\u7b97 ( Construction Simulation )<\/a><\/strong><\/p>\n<p><strong>[17] <a title=\"[\u7ed3\u6784][\u8bbe\u8ba1][\u89c4\u8303] \u5173\u4e8e\u7ed3\u6784\u503e\u8986\u529b\u77e9\u8ba1\u7b97\u516c\u5f0f\u7684\u53e6\u4e00\u79cd\u7406\u89e3\" href=\"http:\/\/www.jdcui.com\/?p=16277\" target=\"_blank\" rel=\"noopener noreferrer\">[\u7ed3\u6784][\u8bbe\u8ba1][\u89c4\u8303] \u5173\u4e8e\u7ed3\u6784\u503e\u8986\u529b\u77e9\u8ba1\u7b97\u516c\u5f0f\u7684\u53e6\u4e00\u79cd\u7406\u89e3<\/a><\/strong><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-16299\" data-content-id=\"16299\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(16299, 1);\">Vote Up +5<\/button> <button class=\"thumbs-rating-down\" onclick=\"thumbs_rating_vote(16299, 2);\">Vote Down -0<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/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: #000080;\">\u00a0Wechat\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>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002 \u300a\u5efa\u7b51\u6297\u9707\u8bbe\u8ba1\u89c4\u8303\u300b\uff08GB50011-2010\uff09\u4e2d\u7ed9\u51fa\u4e86\u91c7\u7528\u632f\u578b\u5206\u89e3\u53cd\u5e94\u8c31\u6cd5\u8ba1\u7b97\u5730\u9707\u4f5c\u7528\u65f6\u7684\u5730\u9707\u529b\u8ba1\u7b97\u516c\u5f0f\uff1a\\({F_{ji}} = {\\alpha _j}{\\gamma _j}{X_{ji}}{G_i}\\)\uff0c\u5176\u4e2d\\({\\gamma _j} = \\frac{{\\sum\\limits_{i = 1}^n {{X_{ji}}{G_i}} }}{{\\sum\\limits_{i = 1}^n {X_{ji}^2{G_i}} }}\\)\uff0c\\({F_{ji}}\\)\u4e3aj\u632f\u578bi\u8d28\u70b9\u7684\u6c34\u5e73\u5730\u9707\u4f5c\u7528\u6807\u51c6\u503c\uff1b\\({\\alpha _j}\\)\u4e3a\u76f8\u5e94\u4e8ej\u632f\u578b\u81ea\u632f\u5468\u671f\u7684\u5730\u9707\u5f71\u54cd\u7cfb\u6570\uff1b\\({X_{ji}}\\)\u4e3aj\u632f\u578bi\u8d28\u70b9\u7684\u6c34\u5e73\u76f8\u5bf9\u4f4d\u79fb\uff1b\\({\\gamma _j}\\)\u4e3a\u632f\u578b\u7684\u53c2\u4e0e\u7cfb\u6570\u3002\u4ee5\u4e0b\u6839\u636e\u7ed3\u6784\u52a8\u529b\u5b66\u7684\u76f8\u5173\u7406\u8bba\uff0c\u7ed9\u51fa\u4e0a\u8ff0\u516c\u5f0f\u7684\u4e00\u79cd\u63a8\u5bfc\u3002 1\u591a\u81ea\u7531\u5ea6\u4f53\u7cfb\u632f\u578b\u5206\u89e3\u6cd5 Mode Superposition Method \u5bf9\u4e8e\u591a\u8d28\u70b9\u4f53\u7cfb\uff0c\u5730\u9707\u52a8\u529b\u65b9\u7a0b\u4e3a\uff1a $${\\left[ M \\right]\\left\\{ {\\ddot u} \\right\\} &#8230;<\/p>\n","protected":false},"author":1,"featured_media":12488,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[382,157,5],"tags":[383,3053,3054,3052,1027,1947,3050,121,280,33,3051,474,2117,1643,2816,229],"class_list":["post-16299","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics-","category-earthquake-engineering-","category-structural-engineering","tag-dynamics","tag-equivalent-static-lateral-seismic-force","tag-modal-superposition","tag-pseudo-acceleration-spectrum","tag-response-spectrum","tag-structural-dynamics","tag-3050","tag-121","tag-280","tag-33","tag-3051","tag-474","tag-2117","tag-1643","tag-2816","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\" 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Pseudo-Acceleration Spectrum) | \\u5d14\\u6d4e\\u4e1c\\u7684\\u535a\\u5ba2 - www.jdcui.com\",\"headline\":\"[\\u7ed3\\u6784\\u52a8\\u529b\\u5b66] \\u7b49\\u6548\\u5730\\u9707\\u529b\\u4e0e\\u4f2a\\u52a0\\u901f\\u5ea6\\u53cd\\u5e94\\u8c31 (Equivalent Static Lateral Seismic Force and Pseudo-Acceleration Spectrum)\",\"author\":{\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/?author=1#author\"},\"publisher\":{\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/#organization\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"http:\\\/\\\/www.jdcui.com\\\/wp-content\\\/uploads\\\/2019\\\/05\\\/StructuralDynamics.gif\",\"width\":300,\"height\":169},\"datePublished\":\"2021-06-03T13:21:33+08:00\",\"dateModified\":\"2026-02-15T09:35:26+08:00\",\"inLanguage\":\"en-US\",\"commentCount\":1,\"mainEntityOfPage\":{\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/?p=16299#webpage\"},\"isPartOf\":{\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/?p=16299#webpage\"},\"articleSection\":\"Dynamics [\\u52a8\\u529b\\u5b66], Earthquake Engineering [\\u5730\\u9707\\u5de5\\u7a0b], Structural Engineering [\\u7ed3\\u6784\\u5de5\\u7a0b], Dynamics, Equivalent Static Lateral Seismic Force, modal superposition, Pseudo-Acceleration Spectrum, Response Spectrum, Structural Dynamics, \\u4f2a\\u52a0\\u901f\\u5ea6\\u53cd\\u5e94\\u8c31, \\u52a0\\u901f\\u5ea6\\u53cd\\u5e94\\u8c31, \\u52a8\\u529b\\u5b66, \\u53cd\\u5e94\\u8c31, \\u53cd\\u5e94\\u8c31\\u6cd5, \\u6297\\u9707, \\u632f\\u578b\\u5206\\u89e3\\u53cd\\u5e94\\u8c31, \\u632f\\u578b\\u5206\\u89e3\\u6cd5, \\u632f\\u578b\\u53e0\\u52a0\\u6cd5, \\u7ed3\\u6784\\u52a8\\u529b\\u5b66\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/?p=16299#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"http:\\\/\\\/www.jdcui.com#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"http:\\\/\\\/www.jdcui.com\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"http:\\\/\\\/www.jdcui.com\\\/?cat=5#listItem\",\"name\":\"Structural Engineering 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