杆撞击中弹塑性波传播的动态子结构方法研究  

Dynamic Substructure Technique for Elastic-Plastic Wave Propagation along Flexible Bar with Impact

作　　者：骞朋波[1] 尹晓春[1] 沈煜年[1] 杨钧[1] 

机构地区：[1]南京理工大学力学与工程系,南京210094

出　　处：《力学季刊》2011年第2期189-194,共6页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10872095);国防基础研究资助项目

摘　　要：通过建立杆弹塑性碰撞的动态子结构模型,推导弹塑性撞击子结构动力学控制方程,采用固定界阶模态综合法和无条件稳定积分法(Newmark隐式积分法)对动力学方程进行求解,成功地将动态子结构方法运用于柔性杆的弹塑性撞击问题。与有限元方法的计算结果和理论解结果的对比表明,动态子结构方法可以应用于柔性杆的弹塑性撞击问题的研究,它能够较精确地计算弹塑性撞击力响应,计算撞击瞬态弹塑性波的传播,并可有效地研究弹塑性波传播、反射、弹性波和塑性波相互作用等主要瞬态波传播规律。A dynamic substructure technique was presented for the investigation of elastic-plastic wave propagations along the flexible bars with impact.The dynamic controlling equation was derived from the finite element theory.The fixed-interface mode method and Newmark implicit integration method were applied to solve the equation numerically.The numerical results were shown and compared with those of the dynamic finite element method and characteristic line method.The comparisons show that the dynamic substructure technique can be applied successfully in elastic-plastic impact problems of flexible bars.The dynamic substructure technique can calculate the impact force responses accurately,simulate the propagations of the transient elastic-plastic waves induced by impacts,and investigate the wave propagation characteristics,such as traveling,reflection and interactions of elastic waves and plastic waves.

关 键 词：柔性杆 撞击 弹塑性应力波 动态子结构方法 

分 类 号：O313.4[理学—一般力学与力学基础] O313.7[理学—力学]