弹性系统动力学总势能不变值原理

The Principle of Total Potential Energy with Stationary Value in Elastic System Dynamics

提出了弹性系统动力学总势能不变值原理 ,它是建立列车 -桥梁系统、列车 -轨道系统空间振动方程的关键理论 .不管动力学系统如何复杂 ,其振动方程都可由此原理及作者以前提出的“对号入座”法则简便建立 .与哈米顿原理比较 ,此原理不需要在 t1至 t2 的时间区段积分 .

The principle is presented of total potential energy with stationary value in elastic system dynamics. The calculated system vibration responses based on these equations are close to the field test data. No matter how complicated the elastic system is, its vibration equations can be easily formulated by the principle and the “set in right position” rule proposed by the author, for forming structural matrices. Comparison of the above principle with Hamilton's principle shows that the integration in the time interval t 1 to t 2 by the use of the former is not necessary, but the results obtained by using the former are the same as those by using the latter.