摘要
讨论了应用Newmark-β直接积分法求解冲击-动力接触问题在初始接触和初始分离时进行修正的必要性;证明了基于Newmark方法的有效刚度阵的正定性,导出了关于接触力向量的有效柔度方程,从而把动力接触迭代过程凝缩到接触面上,提高了计算的效率;算例包括两杆冲击问题和两圆盘冲击问题。
The necessity of correction at initial contact and release is discussed when the Newmark-β direct integration method is applied to contact-impact problems. The effective stiff matrix based on the Newmark schemes proves to be definitely positive. The effective flexibility equation about contact force vector is obtained. Therefore, the dynamic contact iteration process is condensed on possible contact area and the calculation efficiency is improved. Numerical examples include impact problems of two bars and two cylinders.
基金
国家自然科学基金
关键词
动态响应
有限元
冲击-动力
接触问题
dynamic responses
finite element method/dynamic contact-impact problems
