The analytical solutions for orthotropic cantilever beams (II):Solutions for density functionally graded beams  

作　　者：江爱民 丁皓江 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China West Branch of Zhejiang University of Technology, Quzhou 324006, China [2]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第3期155-158,共4页浙江大学学报（英文版）A辑（应用物理与工程）

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

摘　　要：In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media, a series of beam problem, including the problems of cantilever beam with body forces depending only on z or on x coordinate and expressed by z or x polynomial is solved by the principle of superposition and the trial-and-error method.In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media, a series of beam problem, including the problems of cantilever beam with body forces depending only on z or on x coordinate and expressed by z or x polynomial is solved by the principle of superposition and the trial-and-error method.

关 键 词：General solution Functionally graded media Analytical solutions Cantilever beams 

分 类 号：TU31[建筑科学—结构工程]