张弦拱结构的动力特性研究与伽辽金法求解  

Study on the Dynamic Characteristics of Beam String Structure and Galerkin Method to Free Vibration Frequency

作　　者：曾毅恒[1] 

机构地区：[1]广州容柏生建筑工程设计事务所,广州510170

出　　处：《广东土木与建筑》2010年第4期9-12,共4页Guangdong Architecture Civil Engineering

摘　　要：针对张弦拱结构根据索与拱的受力特性与变形协调关系推导了其动力平衡微分方程,再根据对称振型下索力与拱轴力变化的特点,采用多项正弦函数逼近并采用伽辽金法求解结构振型与频率。为便于工程应用,给出了张弦拱架动力特性的简化计算公式,将其结果与有限元法比较,证明该法方便直观且较准确,最后依据结构参数变化进行讨论并给出一些有用的结论。According to the deformation compatibility of string and arch,the dynamic equilibrium equation is derived. Based on the variation characteristics of the axial force in the string and arch in symmetric type of vibration,sine function with several terms is used to approximate vibration function,and Galerkin Method is used to solve the free vibration frequency and free vibration mode of beam string structure. For engineering application,simplified calculation formula is derived. With the formula,we analyze the effect caused by structure parameters of the dynamic characteristics of beam string structure,and get some useful conclusions.

关 键 词：张弦拱 动力特性 简化计算公式 伽辽金法 

分 类 号：TU311.3[建筑科学—结构工程]