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Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads

机译:正交各向异性矩形悬臂薄板在任意载荷下的精确弯曲解

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摘要

Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads are derived by using a novel double finite integral transform method. Since only the basic elasticity equations for orthotropic thin plates are used, the method presented in this paper eliminates the need to predetermine the deformation function and is hence completely rational thus more accurate than conventional semi-inverse methods, which presents a breakthrough in solving plate bending problems as they have long been bottlenecks in the history of elasticity. Numerical results are presented to demonstrate the validity and accuracy of the approach as compared with those previously reported in the literature.
机译:通过使用新型的双有限积分变换方法,得出正交各向异性矩形悬臂薄板的精确弯曲解。由于仅使用正交各向异性薄板的基本弹性方程,因此本文提出的方法消除了预先确定变形函数的需要,因此是完全合理的,因此比传统的半反方法更准确,这是解决板弯曲问题的一个突破长期以来一直是弹性历史上的瓶颈问题。数值结果表明,与文献中先前报道的方法相比,该方法的有效性和准确性。

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