建筑结构抗震分析反应谱理论的直接算法

The Direct Arithmetic of Response Spectrum Theory in Seismic Analysis of Building Structures

振型分解反应谱法已成为各国抗震规范中最为成熟的结构地震反应分析方法。按照规范的规定,在进行反应谱计算时应首先形成相对于各阶振型的等效节点荷载右端项,然后求解相对于各阶振型的地震反应位移解。应用本文的直接算法,可以直接写出相对于各阶振型的地震反应位移解,节省计算求解时间,同时也避免了求解过程中产生的计算精度误差。本文从理论上证明了直接算法与规范方法的等价性,并用例题加以证实。

Response spectrum analysis has become the mo st sophisticated seismic analysis method in codes for seismic design in the worl d. According to the specification of the code, the first step in the response sp ectrum analysis is forming the equivalent nodal force vector. And then, computin g the displacement solution in each mode. By the Direct Arithmetic adopted by th e article, the displacement solution in each mode can be written directly. The s olution time can be saved and meanwhile the computing errors can be avoided by t his method. In the article, the equivalence of the Direct Arithmetic to the meth od in the code is verified in theory and a simple example is provided for approv al.