%0 Journal Article
%T Dynamic responses of a multilayer spherically isotropic pyroelectric hollow sphere<br>层合球面各向同性热释电空心球的瞬态响应
%A Wang Huiming Ding Haojiang Chen Yunmin
%A <br>王惠明
%A 丁皓江
%A 陈云敏
%J 力学学报
%D 2005
%I 
%X The dynamic solution of a multilayer spherically isotropic pyroelectric hollow sphere for spherically symmetric problem is obtained. By the principle of superposition, the solution is divided into two parts: One is quasi-static and the other is dynamic. The quasi-static part is obtained in an explicit form by the state space method, and the dynamic part is derived by the initial parameter method coupled with the separation of variables method as well as the orthogonal expansion technique. By using the obtained quasi-static and dynamic parts and utilizing the electric boundary conditions as well as the electric continuity conditions, a Volterra integral equation of the second kind with respect to a function of time is derived, which can be solved successfully by means of the interpolation method. The displacements, electric potentials and stresses can be finally determined. The present method is suitable for a multilayer spherically isotropic pyroelectric hollow sphere consisting of arbitrary layers and subjected to arbitrary spherically symmetric thermal loads. Numerical results are presented and discussed at the end.
%K multilayer hollow sphere
%K pyroelectric
%K Volterra integral equation
%K thermoelasticity
%K transient response<br>球面各向同性
%K 空心球
%K 热释电
%K 瞬态响应
%K Volterra积分方程
%K 动力学问题
%K 显式表达式
%K 状态空间法
%K 分离变量法
%K 叠加原理
%K 展开技术
%K 特征函数
%K 初参数法
%K 连续条件
%K 边界条件
%K 时间函数
%K 数值结果
%K 准静态
%K 球对称
%K 表示式
%K 外表面
%K 第二类
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=ED35C2CB3C46B74E&yid=2DD7160C83D0ACED&vid=42425781F0B1C26E&iid=38B194292C032A66&sid=EBD6B792C9111B87&eid=E39A3F4E3A67639B&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=14