The analytical solutions for orthotropic cantilever beams (Ⅰ):Subjected to surface forces  

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2期126-131,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project(Nos.10432030,10472102)supportedbytheNationalNaturalScienceFoundationofChina

摘　　要：This paper first gives the general solution of two-dimensional orthotropic media expressed with two harmonic displacement functions by using the governing equations. Then, based on the general solution in the case of distinct eigenvalues, a series of beam problems, including the problem of cantilever beam under uniform loads, cantilever beam with axial load and bending moment at the free end, cantilever beam under the first, second, third and fourth power ofx tangential loads, is solved by the superposition principle and the trial-and-error methods.This paper first gives the general solution of two-dimensional orthotropic media expressed with two harmonic displacement functions by using the governing equations. Then, based on the general solution in the case of distinct eigenvalues, a series of beam problems, including the problem of cantilever beam under uniform loads, cantilever beam with axial load and bending moment at the free end, cantilever beam under the first, second, third and fourth power of x tangential loads, is solved by the superposition principle and the trial-and-error methods.

关 键 词：General solution Orthotropic media Cantilever beams Analytical solutions 

分 类 号：O302[理学—力学]