An eigenfunction expansion method for the elastodynamic response of an elastic solid with mixed boundary surfaces  

作　　者：Liguo Tang Jianchun Cheng 

机构地区：[1]Department of Oceanography, Xiamen University, Xiamen 361005, China [2]Key Laboratory of Underwater Acoustic Communication, and Marine Information Technology, Ministry of Education, Xiamen University, Xiamen 361005, China [3]Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, China

出　　处：《Progress in Natural Science:Materials International》2008年第9期1063-1068,共6页自然科学进展·国际材料（英文版）

基　　金：the National Natural Sci-ence Foundation of China (Grant No. 10704064).

摘　　要：The method of eigenfunction expansion is one of the most elegant methods for solving elastodynamic problems. The solution obtained from it is more concise than that obtained from the integral transform technique. Traditional eigenfunction expansion method is used for the elastodynamic problems with displacement and traction boundary conditions. In this paper, the method is generalized to study the elastodynamic response of an elastic solid with mixed boundary surfaces, and the exact analytical solution is derived. The dynamic response of a finite-length solid aluminum cylinder with two mixed end boundaries is numerically evaluated. The result com- puted from the analytical solution agrees very well with that obtained from finite element method (FEM).The method of eigenfunction expansion is one of the most elegant methods for solving elastodynamic problems. The solution obtained from it is more concise than that obtained from the integral transform technique. Traditional eigenfunction expansion method is used for the elastodynamic problems with displacement and traction boundary conditions. In this paper, the method is generalized to study the elastodynamic response of an elastic solid with mixed boundary surfaces, and the exact analytical solution is derived. The dynamic response of a finite-length solid aluminum cylinder with two mixed end boundaries is numerically evaluated. The result computed from the analytical solution agrees very well with that obtained from finite element method （FEM）.

关 键 词：Eigenfunction expansion Elastodynamic response Mixed boundary 

分 类 号：O313[理学—一般力学与力学基础]