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本文给出了反映横向剪切变形影响的小变形正交各向异性板的高阶理论模型。它所包含的独立未知函数数目与Reissuer—Mindlin模型相同.而且假定横向剪应力沿板厚呈抛物线分布。由最小势能原理给出了平衡微分方程组与边界条件。简单支撑板的精确解与其他高阶模型以及经典解比较说明,现在的计算模型精度很高,而且适合于厚板、中厚板以及薄板问题。
In this paper, the high-order theoretical models of small deformation orthotropic plates reflecting the effects of transverse shear deformation are presented. It contains the same number of independent unknown functions as the Reissuer-Mindlin model. It is also assumed that the transverse shear stress is parabolic along the plate thickness. The equilibrium equations and boundary conditions are given by the principle of minimum potential energy. The exact solution of the simple support plate is compared with other high-order models and classical solutions. The current calculation model has high accuracy and is suitable for thick plate, medium plate, and thin plate problems.