任意叠层球壳内的应力波传播  

STRESS WAVE PROPAGATION IN MULTILAYERED SPHERICAL SHELLS

作　　者：王熙[1] 

机构地区：[1]南京理工大学应用力学系

出　　处：《爆炸与冲击》1994年第3期255-263,共9页Explosion and Shock Waves

摘　　要：提出一种有效求解方法，求解了任意叠层球壳在动载荷作用下的应力波传播。首先，利用有限Ｈａｎｋｅｌ变换和Ｌａｐｌａｃｅ变换求解了每一单层的弹性动力学解。然后，利用叠层球壳的内、外边界条件和层与层之间的连接条件确定每一单层解中的待定常数。从而，我们可以得到应力波在叠层球壳内传播的精确解。最后，我们计算了在一个突加内压作用下的两层球壳（Ｓｔｅｅｌ／Ａｌ）和三层球壳（Ｓｔｅｅｌ／Ａｌｌｏｙ／Ａｌ）内的应力波传播。求解过程和计算结果表明文中提出的求解方法是简便可行的。An efficient method of solution is presented for stress wave propagation in a multi-layered spherical shells subjected to a dynamic pressure. At first , an elastodynamic solution foreach seperate shell is worked out by making use of a finite Hankel tranform and Deplace transform.Then.the boundary conditions at the internal-external surfaces and the continuity conditions at the interface of the multilayered shell are used to determine the unknown constants involvcdmthe solution for each layer.Thus, an exact solution for wave propagation in the multi-layered spherical shell is obtained. Lastly , the solution for stress wave propagation in a two-lay-ered shell ( Steel /Al ) and a three layered shell ( Steel /Alloy/Al ) subjected to a sudden interiorpressure are calculated. The solvingprocess and results carried out show that the method and thesolution are efficient and accurate respectively。

关 键 词：应力波 叠层壳 结构力学 圆球壳 

分 类 号：O342[理学—固体力学]