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原文传递 Two-dimensional elasticity solution of orthotropic beams with variable thickness

题名：	Two-dimensional elasticity solution of orthotropic beams with variable thickness
正文语种：	中文
作者：	徐业鹏周叮刘克夫
关键词：	Beam variable thickness orthotropic Fourier expansion two-dimensional elasticity solution
摘要：	On the basis of the two-dimensional elasticity theory,the stress distributions of simply supported orthotropic beams with arbitrarily and continuously varying thickness are investigated.The general expression of stress function,which exactly satisfies the governing differential equations and the boundary conditions,is derived.The unknown coefficients in the stress solution are approximately determined by using the Fourier sinusoidal series expansion on the upper and lower surfaces of the beam.The present solutions ensure a rapid convergence and are in a good agreement with those obtained from a commercial finite element software ANSYS.The proposed method overcomes the limitation of the conventional beam theories that fails to consider all elastic constants for orthotropic materials.With the aforementioned features,the method could be applicable in aerospace engineering and other projects with highly accurate demand on stress analysis such as the design of micro-mechanical apparatuses.
会议日期：	200910
会议举办地点：	长沙
会议名称：	2009全国土木工程博士生学术论坛
出版日期：	2009-09-30
母体文献：	2009全国土木工程博士生学术论坛论文集