Abstract: Based on the detailed analysis of the flexible ship bridge multi body system,a model of discrete concentrated masses linked with elastic elements is built up in this paper,and the Lagrange Equation for the model is given according to the coordinates in broad sense. In turn,the paper discusses the solutions for the equation and the expression of the colliding forces as well as the judgment of the ending time of the colliding process.

Key words: flexible multi body system, collision, coupling, Lagrange Equation

摘要： 通过对船只 /桥梁多柔体系统碰撞问题进行具体分析并作适当简化和离散化,形成集中质量 -弹簧体系模型,针对模型按广义坐标建立拉格朗日微分方程组,简述了该方程组的解法,讨论了碰撞结束时的脱离判别准则和碰撞力的表示方法

关键词: 多柔体系统, 碰撞, 耦合, Lagrange方程