高层建筑结构考虑楼板变形时水平振动的常微分方程求解器解法

Horizontal Vibrations for Tall Building Structures in Consideratons of Floor Deformations Solved by ODE Solver

本文对需考虑楼板变形的框架－剪力墙结构的水平振动建立一个连续化的并联模型，导出其振动方程组，用常微分方程求解器求解其自振频率和相应的振型。为抗震计算提供一个简便可行的算法。

In this paper, the piecewise continuum technique is firstly used for the structure and a series-parallel distributed mass system is taken for the mathematical model of the structure in which the deformation of floor slab has to be considered. The differential equations of horizontal vibration for the model have been derived.Secondly, using the ODE(ordinary differential equation) solver, which is a program developed for solving numerically the various ODE including eigen-value problems, the vibrational frequencies and the relevant vibrational modes can be obtained. The suggested method is a simple and convenient one in aseismic calculation.