NEW NUMERICAL METHOD FOR VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND IN PIEZOE

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NEW NUMERICAL METHOD FOR VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND IN PIEZOELASTIC DYNAMIC PROBLEMS

The elastodynamic problems of piezoelectric hollow cylinders and spheres under radial deformation can be transformed into a second kind Volterra integral equation about a function with respect to time, which greatly simplifies the solving procedure for such elastodynamic problems. Meanwhile, it becomes very important to find a way to solve the second kind Volterra integral equation effectively and quickly. By using an interpolation function to approximate the unknown function, two new recursive formulae were derived, based on which numerical solution can be obtained step by step. The present method can provide accurate numerical results efficiently. It is also very stable for long time calculating.

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作 者: 丁皓江 王惠明 陈伟球  
作者单位:丁皓江,陈伟球(Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China)水利论文$bn)p,e l3F TguI
王惠明(Department of Mechanics, Zhejiang University, Hangzhou 310027, P.R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2004 25(1) 
分类号:O347.1 O241.8 
关键词:piezoelectric   elastodynamic problem   Volterra integral equation   numerical solution   recursive formulae  
机标关键词:VOLTERRA INTEGRAL EQUATIONVolterra integral equationinterpolation functionrecursive formulaenumerical solutionnumerical results 
基金项目:国家自然科学基金 
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