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力学与实践 ›› 2005, Vol. 27 ›› Issue (5): 0-0.doi: 10.6052/1000-0992-2004-441

• 应用研究 •    

列车-桥梁(轨道)系统振动方程解的适定性分析

周智辉 曾庆元   

  1. 中南大学土木建筑学院,湖南 长沙 410075 长沙市中南大学土木建筑学院 410075
  • 收稿日期:2004-11-22 修回日期:2005-03-23 出版日期:2005-10-10 发布日期:2005-10-10

WELL-POSEDNESS OF VIBRATION EQUATION OF TRAIN-BRIDGE (TRACK) SYSTEM

  • Received:2004-11-22 Revised:2005-03-23 Online:2005-10-10 Published:2005-10-10

摘要: 将列车桥梁(轨道)视为整体系统,列出轮轨衔接条件,运用弹性系统动力学总势能不 变值原理和形成系统矩阵的``对号入座''法则,建立车桥(轨)系统振动方程,从而得到车桥 (轨)系统振动方程的适定解.

关键词: 车桥(轨)系统,适定解,衔接条件,数理方程

Abstract: Based on the theory of mathematical physics equation, the joining conditions are proposed to establish the vibration equation of train-bridge (track) system. The joining conditions include the equilibrium condition of contacting forces between wheel and rail and the displacement condition. Only when the joining conditions are satisfied, the equation of the system is well-posed. The joining conditions are not satisfied for the equation of the system currently in use. Train and bridge (track) are regarded as a whole system and the joining conditions are formulated. With the principle of the total potential energy for formulating the system matrix equation, the equation of the system is founded which can make the system well-posed.

Key words: train-bridge (track) system, well-posedness, joining