【摘要】 本文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。更多还原

【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.更多还原