正变异性扁板壳大变形分析(英文)

Analysis of Large Deflection of Very Flat and Thin Orthogonal Anisotropic Plate and Shell

本文运用最小二乘配点法解受横向载荷的正交各向异性扁壳的几何非线性弯曲问题.由于所选的应力和变形试函数满足全部边界条件并具有正交性质,使得非线性大变形扁壳的偏微分控制方程简化为一组在试函数中含待定常数的非线性代数方程.本文用逐次逼近法,计算了一个例子的横向变形,计算结果与测量值近似一致,所用方法相当简单易学,对设计和计算工交异性壳结构大变形有实用价值.

;This paper solves problems of geometrically nonlinear bending of orthotropic shallow shells under transverse load with the least square method of collocations. Because the trial functions of stress and deflection chosen satisfy all boundaries and posses orthogonal property, the nonlinear partial differential governing equations for shallow shells with large deflection are reduced to a set of nonlinear algebraic equations with undetermined constants in the trial functions. By method of successive approximation, we obtain the transverse deflection for an example. The calculated deflection approximately coincides with the measured. The method used is quite simple and easy to learn,and of practical value in designing and calculating orthotropic shell structures of large deflection.