ANALYTICAL SOLUTION FOR FIXED-FIXED ANISOTROPIC BEAM SUBJECTED TO UNIFORM LOAD  

作　　者：丁皓江 黄德进 王惠明 

机构地区：[1]Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P.R.China [2]Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P.R.China Faculty of Engineering,Ningbo University,Ningbo 315211,Zhejiang Province,P.R.China [3]Department of Mechanics,Zhejiang University,Hangzhou 310027,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第10期1305-1310,共6页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10472102 and 10432030)

摘　　要：The analytical solutions of the stresses and displacements were obtained for fixed-fixed anisotropic beams subjected to uniform load. A stress function involving unknown coefficients was constructed, and the general expressions of stress and displacement were obtained by means of Airy stress function method. Two types of the description for the fixed end boundary condition were considered. The introduced unknown coefficients in stress function were determined by using the boundary conditions. The analytical solutions for stresses and displacements were finally obtained. Numerical tests show that the analytical solutions agree with the FEM results. The analytical solution supplies a classical example for the elasticity theory.The analytical solutions of the stresses and displacements were obtained for fixed-fixed anisotropic beams subjected to uniform load. A stress function involving unknown coefficients was constructed, and the general expressions of stress and displacement were obtained by means of Airy stress function method. Two types of the description for the fixed end boundary condition were considered. The introduced unknown coefficients in stress function were determined by using the boundary conditions. The analytical solutions for stresses and displacements were finally obtained. Numerical tests show that the analytical solutions agree with the FEM results. The analytical solution supplies a classical example for the elasticity theory.

关 键 词：fixed-fixed beam ANISOTROPY stress function analytical solution 

分 类 号：O343.1[理学—固体力学]