球形塑性薄壳在平头圆柱体冲击下贯穿过程的研究  

Perforation of Plastic Spherical Shells Under Impact by Cylindrical Projectiles

作　　者：宁建国[1] 宋卫东[1] 

机构地区：[1]爆炸科学与技术国家重点实验室北京理工大学,北京100081

出　　处：《应用数学和力学》2006年第2期211-216,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(90305018)

摘　　要：对球形塑性壳在平头圆柱体冲击下的动力贯穿行为进行了分析.通过引入等度量变换,给出了壳体的变形模态.在此基础上对球壳在平头圆柱体撞击下的贯穿机制进行了分析研究,给出了贯穿模型,由此结合Hamilton原理,导出了运动方程组.采用Runge_Kutta方法求解了该方程组,最后分别给出了贯穿时间_弹体初速度;残余窝陷半径_弹体初速度;贯穿后弹体剩余速度_弹体初速度的关系曲线.The objective is to study the perforation of a plastic spherical shell impacted by a cylindrical projectile. First, the deformation modes of the shell were given by introducing an isometric transformation. Then, the perforation mechanism of the shell was analyzed and an analytical model was advanced. Based on Hamilton principle, the governing equation was obtained and solved using Runge- Kuta method. Finally, some important theoretical predictions were given to describe the perforation mechanism of the shell. The results will play an important role in understanding the perforation mechanism of spherical shells impacted by a projectile.

关 键 词：薄壳 冲击 贯穿 

分 类 号：O346[理学—固体力学]