任意连接平面杆系结构自振特性分析的统一模型  

GENERALIZED COMPUTATIONAL MODEL OF FREE VIBRATION OF THE SPATIAL STEEL FRAMES WITH SEMI-RIGID CONNECTIONS

作　　者：王新堂[1] 

机构地区：[1]宁波大学建筑工程与环境学院,宁波315211

出　　处：《振动与冲击》2004年第1期122-124,77,共4页Journal of Vibration and Shock

基　　金：浙江省高校中青年学科带头人项目;宁波市重点博士基金项目 (0 1J2 0 1 0 1 - 2 0 )

摘　　要：基于基本假定和振动理论 ,通过严格的理论推导建立了具有任意连接刚度的半刚性连接平面系结构自振特性分析的统一模型 ,在该模型中只要选取适当的连接刚度因子即可分析经典桁架结构、平面刚架结构、混合结点及半刚性连接的任意平面杆系结构的自振特性 ,且给出了刚度矩阵的显式形式。算例与解析解进行了比较 ,结果相当吻合。Based on the fundamental assumptions introduced in the paper and the classical theories of vibration,the generalized computational model for analysis of free vibration characteristics of the planar frames with arbitrary connection stiffness at two ends of each member is established through strict mathematical derivation by introducing the virtual connection stiffness at two ends of each member.Upon the model,the vibrational properties of each case such as the pinned,the fully rigid,the mixed and the semi-rigid structures can be obtained just letting the stiffness factors of connections be proper values.Also the explicit formula of the stiffness matrix is put forward here.With comparison of the numerical results of the paper and the analytical solutions,the correctness and effectiveness of the computational model is shown.

关 键 词：杆系结构 自振特性 刚度矩阵 振动方程 集中质量法 

分 类 号：TU323[建筑科学—结构工程]