Transient response of two fluid‐coupled spherical elastic shells to an incident pressure pulse
Transient response of two fluid‐coupled spherical elastic shells to an incident pressure pulse
复制标题
DOI：
10.1121/1.382590
复制
发表时间：
1979-04
影响因子：
2.4
通讯作者：
H. Huang
中科院分区：
文献类型：
--
作者：
H. Huang
本文分析了由两个同心球壳组成的理想流体耦合系统在入射平面压力脉冲作用下的瞬态响应。采用经典的分离变量法和拉普拉斯变换求解流体运动的波动方程和壳体运动方程。设计了一种迭代卷积的方案，用于拉普拉斯变换的反演，以便于计算壳体响应的精确瞬态解。进行了壳体响应的样本计算，并将结果与不存在外壳的情况进行了比较。这组结果表明，薄外壳往往是透明的入射脉冲。
The transient response of a system of two initially concentric spherical elastic shells coupled by an ideal fluid and impinged upon by an incident plane pressure pulse is analyzed. The classical techniques of separation of variables and Laplace transforms are employed for solving the wave equations governing the fluid motions and the shell equations of motion. A scheme of iterative convolution was devised for the inversion of the Laplace transforms that facilitates the calculation of accurate transient solutions of the response of the shells. A sample calculation of shell responses was performed and results are compared to the case in which the outer shell is absent. This set of results demonstrates that a thin outer shell tends to be transparent to the incident pulse.