两杆纵向非线性弹性碰撞的瞬间响应

把处于弹性碰撞接触状态下的两个杆件看作是一个振动体系,此弹性碰撞问题被转化成该碰撞体系在碰撞杆具有初始扰动速度下的振动响应问题,于是将此碰撞问题的分析纳入了常规的振动分析范畴.论文给出了该非线性弹性碰撞问题的描述方法,给出了一种考虑非线性Hertz弹性接触变形的线性化方法和详细的实现步骤,给出了该碰撞问题在不考虑接触变形和考虑线弹性接触变形两种情况的解析解,数值分析结果验证了上述分析方法的可行性和正确性.

Transient Analysis of Nonlinear Elastic Impact between Two Rods

The two rods in colliding are treated to be an integrated rod system of vibration, so this nonlinear elastic impact problem is dealt with as a problem of conventional dynamic response analysis of the system under the initial condition that the impacting rod is subjected to a given velocity distribution. The basic equation, the boudary conditions and the initial conditions of the problem are given, the analytical solution without contact deformation and with linear contact deformation are derived, and the new linearization method and the practical procedure of the linearization method with nonlinear contact deformation of the problem are presented.Finally, numerical results show that the above methods and the approaching procedures are feasible and correct.