悬臂梁端部受质量块撞击的弹塑性动力响应数值解

针对Parkes梁问题，基于LS-DYNA的Lagrange六面体常应力积分单元的数值模拟结果，利用连续介质力学基本原理建立了获得截面弯矩、剪力等特征量的方法，研究了截面弯矩分布发展规律并讨论了撞击过程、黏塑性对悬臂梁瞬态动力响应结果的影响，计算结果与Parkes理论解和Reid等的数值解定性一致. 结果表明，在弹塑性弯曲波作用早期，由于高速撞击产生的动力响应明显强于施加单元初速度的响应，后者的做法对于结构抗动载设计而言更为危险.

Numerical Analysis on the Elastic-Plastic Response of Cantilever Beams Subjected to Tip Impact

Presented an elastic-plastic analysis of cantilever beams subjected to tip impact such as Parkes problem, within the framework of finite element method based on Lagrange eight-node constant stress hexahedral continuum elements in LS-DYNA. A new way, which based on principle of continuum mechanics, was explored to get the dynamic bending moment and shear forces along the cross section. In the presented analysis, transient response of the beam and the local response of the beam to the impactor were obtained. The results show good agreement with Parkes theory and Reid's numerical resolution and indicates that it is more serious for structure design to ignore the collision process.