高层框架自由振动的Sturm-Liouville微分方程  

The Sturm-Liouville equation for free vibration of framed-structures

作　　者：王凌云[1] 王全凤[2] 

机构地区：[1]福州大学土木工程学院,福建福州350002 [2]华侨大学土木工程学院,福建泉州362021

出　　处：《福州大学学报（自然科学版）》2008年第3期413-416,共4页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(E0410023)

摘　　要：提出一个计算高层框架基本周期的简单方法.为简化计算,用一个等直弯-剪悬臂梁来模拟高层框架结构进行动力分析.证明了高层框架自由振动的微分方程是四阶Sturm-Liouville微分方程,用变分法推导出计算高层框架自由振动基本周期的表达式.A simple method for calculating fundamental period of framed structures is described in this paper. To simplify their computation, a uniform shear- flexure cantilever beam model is used to perform a dynamic analysis of framed structure. To present a simple technique for the calculation, a resulting equation for free vibration of the structure is proved strictly to be forth - order Sturm - Liouville differential equation, and a formulation for calculating fundamental natural period of the structure is derived. An engineering example is worked out in detail to illustrate that the method provides result that compares closely with it obtained from the usual method of analysis.

关 键 词：高层框架 Sturm-Liouville微分方程 固有振动 基频 

分 类 号：TU398.2[建筑科学—结构工程]