梁单元形函数在车桥时变系统振动分析中的选取研究  

Research on election of beam element interpolation function in coupling vibration analysis of variational coefficient vehicle-bridge system

作　　者：李东平[1] 孔旭光[1] 周智辉[1] 王宁波[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2010年第6期12-17,共6页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(50908232)

摘　　要：在阐述移动连接单元动力特性的基础上,提出了车桥时变系统振动分析中梁单元形函数所应满足的条件;导出了适合此系统振动分析的梁单元五次形函数,并通过算例分析了梁单元形函数的选取对此系统振动响应的影响。计算结果表明:选用三次形函数会导致梁单元结点处曲率的不连续,影响此系统振动响应的计算精度;选用五次形函数满足了移动连接单元对形函数的要求,获得更精确的计算结果。Based on the study of moving-connecting-element,the defect of three-Hermitian interpolation function in dealing with dynamics finite element problems were analyzed,and a new type of interpolation function was proposed in this paper.Several illustration examples were presented to analyze the dynamic responses of different interpolation function.The result shows that： Stiffness matrix of this time-varying system which conduced by three-Hermitian interpolation function is discontinuous at the nodes of beam element,and the calculated dynamic responses may be effected.The new five-Hermitian interpolation function can ensured the continuity of stiffness matrix greatly,and more preciseness results would be obtained.

关 键 词：车-桥时变系统 移动连接单元 形函数 振动响应 

分 类 号：U211[交通运输工程—道路与铁道工程]