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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
  • 期刊名称:铁道科学与工程学报
  • 时间:0
  • 页码:12-17
  • 分类:U211[交通运输工程—道路与铁道工程]
  • 作者机构:[1]中南大学土木建筑学院,湖南长沙410075
  • 相关基金:国家自然科学基金资助项目(50908232)
  • 相关项目:高速铁路桥梁列车安全舒适运行控制理论研究
中文摘要:

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。

英文摘要:

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.

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