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基于梁段有限元法的大跨度铁路箱梁桥的动力特性研究
Dynamic Behavior Analysis of Long-span Railway Box Beam Bridge based on Beam Segment Finite Element Method
【Author】 Wang Zuo-cai, Ren Wei-xin (College of Civil Engineering Central South University, Changsha, 410075, China)
【机构】 中南大学土木建筑学院;
【摘要】 本文为了分析约束扭转翘曲,局部变形以及横隔板的作用等对大跨度变截面连续铁路箱形梁桥的动力特性影响,利用梁段有限元的方法,将箱梁在纵向划分为若干梁段,依据箱梁结构进一步将梁段划分为若干板梁段子单元。在考虑箱梁的约束扭转翘曲与局部变形的基础上,分析每一板梁段子单元的位移模式,得到其弹性应变能,惯性力势能。根据弹性系统动力学总势能不变值原理以及形成系统矩阵的"对号入座"法则,推导了梁段单元的刚度矩阵,质量矩阵,并编写了有限元程序进行结构的动力特性分析。利用该程序分析了丰电赣江特大桥动力特性,与通用有限元程序ANSYS的板壳单元分析的结果进行了比较,结果表明利用梁段有限元分析结构的动力特性,自由度少,计算精度高,是进一步进行箱梁结构动力分析的一种有效方法。
【Abstract】 According to analyze the influence of restrain torsion, local deformation and cross diaphragm plate to the dynamic behavior of long-span continuous railway box beam bridge. This paper bases on the beam segment finite element method, dispersed along longitude into several beam units, which are again divided into some slab segments according to the structure of the box beam. Calculated the elastic strain energy and potential energy of inertial force of the slab segment according to analysis of the displacement. According to the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating matrixes, stiffness matrix and mass matrix of beam segment are calculated. The program is developed to analyze dynamic behavior of Fengdian Ganjiang River bridge. The finite element model is constructed and dynamic behavior of the bridge is analyzed by using ANSYS software. The result shows that the advantage of beam segment finite element method to analyze the dynamic behavior lies in the greatly reduced degree of freedom as well as high precision, The present method is an effective approach to analyze the dynamic behavior of box beam structure.
- 【会议录名称】 第九届全国振动理论及应用学术会议论文集
- 【会议名称】第九届全国振动理论及应用学术会议暨中国振动工程学会成立20周年庆祝大会
- 【会议时间】2007-10-17
- 【会议地点】中国浙江杭州
- 【分类号】U448.13;U441.3
- 【主办单位】中国力学学会、中国振动工程学会、中国航空学会、中国机械工程学会、中国宇航学会