| 隔震结构非线性随机地震响应分析的复模态法 |
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| 引用本文： | 李创第,黄天立,李暾,邹万杰,陈俊忠.隔震结构非线性随机地震响应分析的复模态法[J].振动与冲击,2004,23(1):21-26. |
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| 作者姓名： | 李创第 黄天立 李暾 邹万杰 陈俊忠 |
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| 作者单位： | 1. 广西工学院土木系,柳州,545006
2. 同济大学土木工程学院,上海,200092 |
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| 基金项目： | 广西青年科学基金 (0 0 0 70 0 9)，教育部国家重点实验室访问学者基金 [教技司 2 0 0 0 (1 2 3)号 ]，广西工学院博士基金联合资助 |
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| 摘 要： | 本对多自由度双线性滞变隔震结构在过滤白噪声地震激励下的随机响应问题进行了系统研究。首先建立了结构非线性运动方程；然后根据非线性随机振动理论对运动方程进行等效线性化；最后用复模态法获得了等效线性方程的解析解，将复杂的非线性随机响应问题简化为求解一元非线性代数方程问题，并给出了算例。从而建立了多自由度隔震结构非线性随机响应复模态分析的一整套计算方法。
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| 关 键 词： | 隔震结构 非线性随机地震响应 复模态法 等效线性方程 解析解 自由度 |
| 修稿时间： | 2003年9月18日 |
Complex Modal Method for Analysis of Non-Linear Random Earthquake Response of Structures with Base Isolation |
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| Li Chuangdi,Huang Tianli,Li Tun,Zou Wanjie,Chen Junzhong.Complex Modal Method for Analysis of Non-Linear Random Earthquake Response of Structures with Base Isolation[J].Journal of Vibration and Shock,2004,23(1):21-26. |
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| Authors: | Li Chuangdi Huang Tianli Li Tun Zou Wanjie Chen Junzhong |
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| Affiliation: | Li Chuangdi1 Huang Tianli2 Li Tun1 Zou Wanjie Chen Junzhong1 |
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| Abstract: | In the paper,the random earthquake response of structures with multi-degrees of freedom and nonlinear hysteretic base isolation subjected to filtered white noise earthquake excitation is studied systematically.The nonlinear dynamic equations are established and then are linearized to an equivalent system by nonlinear random vibration theory.The exact solutions of the linearized governing equations are obtained by complex modal method,and by using the exact solutions the complicated question of nonlinear random response is transformed into a simple question of nonlinear algebraic equation with one element.A calculating example is given. A complete set of calculating methods for complex modal analysis of nonlinear random response of structures with multi-degrees of freedom and base isolation are proposed. |
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| Keywords: | complex mode base isolation nonlinear random vibration |
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