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梁单元形函数在车桥时变系统振动分析中的选取研究
引用本文:李东平,孔旭光,周智辉,王宁波.梁单元形函数在车桥时变系统振动分析中的选取研究[J].铁道科学与工程学报,2010,7(6).
作者姓名:李东平  孔旭光  周智辉  王宁波
作者单位:中南大学,土木建筑学院,湖南,长沙,410075;中南大学,土木建筑学院,湖南,长沙,410075;中南大学,土木建筑学院,湖南,长沙,410075;中南大学,土木建筑学院,湖南,长沙,410075
基金项目: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。

关 键 词:车-桥时变系统  移动连接单元  形函数  振动响应

Research on election of beam element interpolation function in coupling vibration analysis of variational coefficient vehicle-bridge system
LI Dong-ping , KONG Xu-guang , ZHOU Zhi-hui , WANG Ning-bo.Research on election of beam element interpolation function in coupling vibration analysis of variational coefficient vehicle-bridge system[J].Journal of Railway Science and Engineering,2010,7(6).
Authors:LI Dong-ping  KONG Xu-guang  ZHOU Zhi-hui  WANG Ning-bo
Institution:LI Dong-ping,KONG Xu-guang,ZHOU Zhi-hui,WANG Ning-bo(Civil Architectural Engineering College,Central South University,Changsha 410075,China)
Abstract: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 ele...
Keywords:vehicle-bridge time-varying system  moving-connecting-element  shape function  dynamic responses  
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