【摘要】 按照经典碰撞理论,利用恢复系数e推导了两小球弹簧质量系统碰撞的位移速度公式,得到该质量弹簧系统碰撞问题的解析解.基于Newmark法,根据动接触碰撞理论得到的处理二维碰撞的数值积分表达式可对碰撞问题进行数值求解.将得到的解析解与数值解计算结果进行比较,验证了数值方法的正确性,给出了处理小球弹簧质量系统碰撞时e的取值,并将该数值方法推广至分析多个小球的弹簧质量系统的碰撞研究中.更多还原

【Abstract】 According to the classical impact theory,formulas of velocity and displacement of the spring-mass system with two small balls are deduced using the restitution coefficient e,and the analytical solution of the system for two balls collision is obtained.Based on Newmark-β method,numerical integral expression of two-dimension collision obtained by using dynamic contact theory is used for the numerical calculation of collision problem.Compared the results of the analytical solution and numerical solution,an appropriate value of restitution coefficient is suggested in the collision models.And this numerical method can be used for the solution of many spring-mass systems.更多还原