Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation  

作　　者：王春玲 黄义 贾继红 

机构地区：[1]School of Science,Xi'an University of Architecture and Technology [2]School of Software,Dongguan University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第2期173-182,共10页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Shaanxi Province(No.2006D23)

摘　　要：The method of double Fourier transform Was employed in the analysis of the semi-infinite elastic foundation with vertical load. And an integral representations for the displacements of the semi-infinite elastic foundation was presented. The analytical solution of steady vibration of an elastic rectangle plate with four free edges on the semi-infinite elastic foundation was also given by combining the analytical solution of the elastic rectangle plate with the integral representation for displacements of the semiinfinite elastic foundation. Some computational results and the analysis on the influence of parameters were presented.The method of double Fourier transform Was employed in the analysis of the semi-infinite elastic foundation with vertical load. And an integral representations for the displacements of the semi-infinite elastic foundation was presented. The analytical solution of steady vibration of an elastic rectangle plate with four free edges on the semi-infinite elastic foundation was also given by combining the analytical solution of the elastic rectangle plate with the integral representation for displacements of the semiinfinite elastic foundation. Some computational results and the analysis on the influence of parameters were presented.

关 键 词：semi-infinite elastic foundation rectangular plate with four free edges steady vibration INTERACTION analytical solution 

分 类 号：O343.3[理学—固体力学]