碰撞激发弹塑性波传播的动态子结构方法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金;总装预研重点项目;江苏省自然科学基金

Dynamic substructure method for propagation of elastic-plastic wave induced by impact

Department of Mechanics and Engineering Science, Nanjing University of Science and Technology, Nanjing 210094, China

摘要: 通过建立弹塑性碰撞动态子结构模型, 推导了模态坐标下的控制方程,提出了模拟柔性结构碰撞激发弹塑性波传播的动态子结构方法, 并对其中的主模态的存在性和主模态截断的收敛性进行了证明. 通过对柔性杆纵向碰撞和柔性梁横向碰撞两个算例的计算, 并将计算结果与理论解和三维动力有限方法计算结果进行了对比, 验证了该方法的数值收敛性和计算碰撞弹塑性波传播的有效性.
- 数值方法
Abstract: The dynamic substructure method was proposed to accountfor propagation of elastic-plastic waves in flexible components induced byimpact. A dynamic model using the substructure technique was established andits governing equations in modal coordinates were derived from the finiteelement theory and the substructure synthesis method. The existence of thenormal modes in the indicated waves and the convergence of the truncation ofthe normal modes were proved. Numerical cases are illustrated forlongitudinal and transverse impact of flexible bars. The simulation results,the comparisons with their analytical solutions, and calculations of thethree-dimensional dynamic finite element method, show that the presentmethod is convergent and valid.
- numerical method