具有粘弹性本构关系的有限长细杆冲击问题的研究

摘要

有限长细杆冲击问题的分析由于引入了粘弹性本构关系而变得比较复杂。针对三参量模型研究了一个端部受冲击载荷作用的有限长细杆的动力学响应问题，并提出了一种新的基于振动和拉普拉斯变换相结合的全解析解法。%The analysis of the problem of the finite length rod beingimpacted becomes very complex because viscoelasticity is introduced. This paper has discussed a kinetic response problem of finite length rod that is impacted at one end with three-element model,and gives a new theoretic method based on vibration and Laplace transform. This method is proven very effective comparing with numeric solution.