【摘要】 针对大质量法(LMM)无法直接求得多点激励下结构拟静力响应和动力响应的困境,以多点激励下结构的受力本质为切入点,提出一种在通用有限元程序中分离结构拟静力响应和动力响应的通用方法——响应矩阵法;详细推导响应矩阵的构造过程;并以两个自由度的质量-弹簧模型为例,利用响应矩阵将LMM求得的总响应分解为拟静力响应和动力响应,分别与相对运动法(RMM)直接求得的拟静力响应和动力响应进行对比。结果表明:响应矩阵法具有较高的分离精度,它建立起了线性系统支撑位移与体系内部拟静力项之间的线性传递关系,完善了结构的多点激励分析理论。更多还原

【Abstract】 This paper,aiming at the problem which relative static response and dynamic response couldn’t be directly obtained by the Large Mass Method( LMM) under multi-support excitation,a common method( response matrix method) to separate relative static response and dynamic response in the general finite element program was proposed and deduced in detail. A 2-DOF Mass-spring model was taken as an example,and the total response from LMM was separated relative static response and dynamic response by response matrix method,compared with the corresponding response by Relative Motion Method( RMM) respectively. The result shows that the response matrix method have extremely high separation precision,establish a linear transfer relation from support displacement to relative static response,and improve on the analysis theory of structure under multi-support excitation.更多还原