Transient Responses in a Piezoelectric Spherically Isotropic Hollow Sphere for Symmetric Problems
Transient Responses in a Piezoelectric Spherically Isotropic Hollow Sphere for Symmetric Problems
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DOI：
10.1115/1.1554415
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发表时间：
2003-05
期刊：
影响因子：
--
通讯作者：
H. Ding;H. Wang;Wenteng Chen
中科院分区：
文献类型：
--
作者：
H. Ding;H. Wang;Wenteng Chen
利用分离变量技术，将球各向同性空心球的球对称电弹性动力学问题转化为一个关于时间的函数的积分方程，并利用插值法成功地求解了该积分方程。然后求出位移、应力、电位移和电势的解。本方法适用于任意厚度的压电空心球，在球对称的电势和径向机械载荷，这两个可以是任意函数的时间变量，在内部和外部表面。
By virtue of the separation of variables technique, the spherically symmetric electroelastic dynamic problem of a spherically isotropic hollow sphere is transformed to an integral equation about a function with respect to time, which can be solved successfully by means of the interpolation method. Then the solution of displacements, stresses, electric displacements, and electric potential are obtained. The present method is suitable for a piezoelectric hollow sphere with an arbitrary thickness subjected to spherically symmetric electric potential and radial mechanical loads, that both can be arbitrary functions about the time variable, at the internal and external surfaces.