高层建筑结构自由振动的渐近解法

An Iteration Method for Free Vibration of Tall Building Structures

本文将结构静力分析的渐近法用于高层建筑结构自由振动的计算,用静力方法导出了不考虑横梁变形和考虑横梁变形的高层建筑结构自由振动计算的迭代公式,建立了使用迭代公式与瑞利(Rayleigh)公式计算结构自振频率与振型的原则与步骤.文末给出了两个算例,说明本文方法具有简单、高效、高精度的特点,便于直接手算或在微机上运算.

In this paper, the iteration method is used to calculate the free vibration of tall building structures and the iteration formula is derived with the static analysis. The principle and general steps to calculate the structural frequency and mode by using the iteration formla and Rayleigh's formla are set up. Two numerical examples are given at the of the paper which indicate that the iteration method presented in this paper is simpler, effective, accurate and convenient for calculating manually or with a computer.