车-桥耦合振动的联合方程分析方法

doi:10.3969/j.issn.1674-0696.2013.01.01

重庆交通大学学报（自然科学版） ›› 2013, Vol. 32 ›› Issue (1): 1-4.DOI: 10.3969/j.issn.1674-0696.2013.01.01

• • 下一篇

车-桥耦合振动的联合方程分析方法

毛国辉，王小松，郑鸿飞

重庆交通大学土木建筑学院，重庆400074

收稿日期:2012-04-27 修回日期:2012-08-24 出版日期:2013-02-15 发布日期:2015-03-12
作者简介:毛国辉(1987—)，男，江西余干人，硕士研究生，主要从事桥梁动力方面的研究。E-mail:maoguohui0101@126.com
基金资助:
国家自然科学基金项目( 50908246) ; 重庆市教育委员会基金项目( KJ080403) ; 重庆交通大学( 桥梁) 结构工程重点实验室开放基金项目( CQSLBF-Z10-1)

Analytical Method for Joint Equation of Vehicle-Bridge Coupling Vibration

Mao Guohui,Wang Xiaosong,Zheng Hongfei

School of Civil Engineering ＆ Architecture,Chongqing Jiaotong University,Chongqing 400074,China

Received:2012-04-27 Revised:2012-08-24 Online:2013-02-15 Published:2015-03-12

摘要/Abstract

摘要： 根据d’Alembert 原理和有限元理论，分别建立了车辆和桥梁的振动方程；基于车辆密贴理论，轮底接触点位移由桥梁节点位移采用形函数插值得到，接触点作用力等效成桥梁单元的结点力代入桥梁振动方程，将车辆、桥梁振动方程组联立形成了车-桥耦合振动的总体振动方程；采用数值积分的Newmark-β 法求解方程组。结果表明: 此方法和经典的迭代求解方法是吻合的。

关键词: 车桥振动, 联立方程, Newmark-β法

Abstract: Vehicles and bridge oscillation equations were built respectively according to d’Alembert theory and finite element theory.The displacement of the bottom contact points of tires can be got from bridge nodal displacement by applying shape function interpolation.Then the contact point force which is equivalent to bridge unit nodes force was put into the bridge vibration equation and thus overall vibration equation of vehicle-bridge coupling vibration combing both vehicles and bridge oscillation equations was formed.In addition,Newmark-β method of numerical integration was applied to solve the equations.The result shows that this method and the classic iteration method are identical.

Key words: vehicles-bridge vibration, simultaneous equations, Newmark-β method

中图分类号:

U441⁺.7

毛国辉，王小松，郑鸿飞. 车-桥耦合振动的联合方程分析方法[J]. 重庆交通大学学报（自然科学版）, 2013, 32(1): 1-4.

Mao Guohui,Wang Xiaosong,Zheng Hongfei. Analytical Method for Joint Equation of Vehicle-Bridge Coupling Vibration[J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(1): 1-4.

参考文献

[1]夏禾.车辆与结构动力相互作用［M］.北京: 科学出版社，2002:32-57．
Xia He.Dynamic Interaction of Vehicles and Stractures［M］.Beijing:Science Press， 2002: 32-57．
[2]吴定俊，李奇，陈艾荣.车桥耦合振动迭代求解数值稳定性问题［J］.力学季刊，2007，28( 3) : 405-412．
Wu Dingjun，Li Qi，Chen Airong.Numerical stability of iteration scheme for solution of vehicle-bridge coupling vibration［J］.Chinese Quarterly of Mechanics，2007，28( 3) : 405-412．
[3]Yang F，Fonder G A.An iterative solution method for dynamic response of bridge-vehicle systems［J］.Earthquake Engineering ＆
Structural Dynamics， 1996， 25( 2) : 195-215．
[4]Yang Y B，Yau J D.Vehicle-bridge interactions and applications to high speed rail bridges［J］.Proceedings of the National Science
Council，1998， 22( 2) : 214-24．
[5]李小珍，朱艳.车辆-桥梁垂向时变耦合系统随机分析［J］.武汉理工大学学报，2010，32( 9) : 356-359．
Li Xiaozhen，Zhu Yan.Vehicle-bridge’s systematic stochastic analysis of time-varying coupling in vertical direction［J］.Journal of Wuhan University of Technology，2010，32( 9) : 356-359．
[6]Blejwas T E，Feng C C，Ayre R S.Dynamic interaction of movingvehicles and structures［J］.Journal Sound and Vibration，1979， 67( 4) : 513-21．
[7]盛可鉴.车桥振动体系中车辆振动方程的建立方法［J］.交通科技与经济，2008，( 3) : 1-3．
Sheng Kejian.Establishment method of vehicle vibration equation in vehicle-bridge vibration system［J］.Technology and Economy in Areas of Communications，2008( 3) : 1-3．
[8]余华，吴定俊.Hermite 插值在车桥耦合振动中的应用［J］.振动与冲击，2006，25( 2) : 38-40．
Yu Hua，Wu Dingjun.The application of Hermite interpolation in the vehicle-bridge coupling vibration［J］.Journal of Vibration and Shock，2006，25( 2) : 38-40．
[9]桂水荣，陈水生，许士强.移动荷载下简支梁桥3 种车桥耦合模型研究［J］.华东交通大学学报，2007，24( 1) : 35-39．
Gui Shuirong，Chen Shuisheng，Xu Shiqiang.Comparison of three models for vehicle-bridge coupled vibration of simple beam bridge subjected to moving load［J］.Journal of East China Jiaotong University，2007，24( 1) : 35-39．

车-桥耦合振动的联合方程分析方法

Analytical Method for Joint Equation of Vehicle-Bridge Coupling Vibration

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics