高层隔震结构实空间解耦及地震作用取值分析

PDF(1012 KB)

振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 119-125.

论文

高层隔震结构实空间解耦及地震作用取值分析

李创第1 陈欧阳2 葛新广1 李暾1 邹万杰1

作者信息 +

Analytic Methods of Decoupling in Real Spaces and Earthquake action Calculating for High-rise Isolated Structures

Li Chuangdi1 Chen Ouyang2 Ge Xinguang1 Li Tun1 Zou Wanjie1

Author information +

文章历史 +

摘要

本文对高层隔震结构响应实空间解耦及地震作用取值进行了系统研究。首先运用复模态法和拉氏变换，建立非对称非经典结构响应的实空间精确解耦法，将高层隔震结构位移响应方差在实空间上精确分解为系列标准振子位移与速度响应方差的线性组合，获得结构相关组合系数的精确解；然后利用系列标准振子最大响应与反应谱的对应关系，给出了基于最大位移响应的地震作用新定义，建立了高层隔震结构基于反应谱的最大位移响应及其等效静态地震作用取值的完备解析解法，并给出了算例，验证了所提出方法的正确性，该方法适用于一般非对称非经典结构响应的实空间精确解耦及其基于反应谱的地震作用取值分析。

Abstract

The analytic methods of decoupling in real spaces and earthquake action calculating for non-classically damped high-rise isolated structures are studied systematically. The exact decoupling method in real spaces for asymmetric and non-classical structure is firstly established by using complex mode method and Laplace Transform, the mean-square values of high-rise isolated structural displacement random response are exactly decomposed of linear combination of mean-square values of displacement and velocity random response of serial standard oscillators, the exact solutions of structural correlation combination coefficients are given. Then, according to the mutual relationships between maximum response of serial standard oscillators and seismic response spectrum, the analytic solutions of maximum displacement response and earthquake action of high-rise isolated structures basis on response spectrum are given, an example is given, which verify that the proposed methods are correct, and the proposed methods are general methods, which can be applied to exact decoupling analysis in real spaces and earthquake action calculating basis on response spectrum for general MDOF linear structures with non-classical damping and asymmetric mass and stiffness matrix.

导出引用

李创第陈欧阳葛新广李暾邹万杰. 高层隔震结构实空间解耦及地震作用取值分析[J]. 振动与冲击, 2014, 33(15): 119-125

Li Chuangdi Chen Ouyang Ge Xinguang Li Tun Zou Wanjie. Analytic Methods of Decoupling in Real Spaces and Earthquake action Calculating for High-rise Isolated Structures[J]. Journal of Vibration and Shock, 2014, 33(15): 119-125