具有模糊弹性连接的杆系结构有限元方法  

The Finite Element Method for Frame Structure with Fuzzy Elastic Connections

作　　者：吕恩琳[1] 钟佑明[2] 向世明[3] 

机构地区：[1]重庆大学建筑工程学院,重庆400044 [2]重庆大学机械工程学院,重庆400044 [3]华中理工大学力学系,武汉430074

出　　处：《重庆大学学报（自然科学版）》2000年第2期64-67,共4页Journal of Chongqing University

基　　金：国家自然科学基金资助项目! ( 193 72 0 76)

摘　　要：杆系结构各单元在节点处的连接状态往往是介于刚接和铰接之间的某种弹性连接状态。作者推导了具有转动弹性连接的杆单元刚度矩阵和荷载转移矩阵 ,其中考虑了横向剪切效应。通常的两端铰接、两端刚接或一端铰接、一端刚接的杆元刚度矩阵只是作者所推导的刚度阵的一些特例。在指出弹性连接杆单元节点的弹性系数是模糊量后 ,给出了这种杆单元的模糊刚度阵 ,并给出了结构模糊有限元平衡方程的一种解法。得到的模糊解不仅包含了普通有限元法的结果 ,而且提供了有实际意义的附加信息。The connections of frame structure elements at a node are ofen an elastic connection between hinged and rigid.In this paper,the stiffness matrix and the loading transfer matrix of frame element with turn elastic connections is deduced,the cross shear effect has been taken into consideration simultaneously.The stiffness matrices of some bar elements,such as both ends of the bar are hinged or rigid and one end is hinged but the other is rigid,are special cases of the stiffness matrices presented in this paper.After pointing out that the elastic coefficient at a node of a bar element with elastic joint is really a fuzzy quantity,the fuzzy stiffness matrix of the bar element is obtained,and a solution to structural fuzzy finite element equilibrium equations is presented.The fuzzy solution obtained from above is not only containing the solution of ordinary finite element method but also providing some additional informations with practical value.[WT5HZ]

关 键 词：杆系结构 弹性连接 模糊有限元法 工程结构 

分 类 号：TU311[建筑科学—结构工程]