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

作　　者：丁皓江 王惠明 陈伟球 

机构地区：[1]Department of Civil Engineering [2]Department of Mechanics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第1期16-23,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 0 1 72 0 75)

摘　　要：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.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.

关 键 词：PIEZOELECTRIC elastodynamic problem Volterra integral equation numerical solution recursive formulae 

分 类 号：O242[理学—计算数学]