高层建筑结构之非线性地震响应分析

将高层建筑结构近似地等效成非线性弹性支承梁，以悬臂梁，柱之本征函数作为Ｒｉｔｚ矢量，用能量法推导出结构的运动方程，其自由度数及计算量均比用有限元法时大为减小，用本文的方法可以计算具弹塑性铰或弹塑性耗能器之剪切墙及框架式高层建筑结构，计算结果表明，采用非线性耗能器并引起高阻尼，可以显著地降低结构之地震响应。

NONLINEAR SEISMIC RESPONSE ANALYSIS OF HIGH-STOREY BUILDING STRUCTURES

The high storey building structure is modeled as an equivalent cantilever beam on nonlinear supports.Its governing equations are derived by using the Ritz method, eigenfunctions of cantilever Euler-Bernouli beam being used as the Ritz vectors.Since the number of degrees of freedom in the Ritz space is much fewer than that in a finite element method, the computational work can be reduced considerably. This method can be used to analyze shear wall structures with elasto-plastic hinges or dampers as well as tall frame-type structures. Numerical results show that the seismic response of a building structure can be reduced significantly by using to nonlinear and strong dampers.