Two-dimensional elasticity solution of orthotropic beams with variable thickness
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.
Beam variable thickness orthotropic Fourier expansion two-dimensional elasticity solution
徐业鹏 周叮 刘克夫
国内会议
长沙
英文
459-467
2009-10-01（万方平台首次上网日期，不代表论文的发表时间）