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Analytical Approaches of Composite Rectangular Thin Plates 被引量:1

Analytical Approaches of Composite Rectangular Thin Plates
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摘要 The purpose of the present study was to explore and subsequently establish a technique for determination of analytical solutions for the differential equation for composite thin plates. The considered reasons for the solutions were to exactly satisfy the boundary conditions and to verify as close as possible the differential equation of the plate. There are studied two solutions for orthotropic plate with clamped edges, and made comparisons with the solutions presented by Reddy [1] and with the exact solution by Timoshenko and Woinowsky. The models are based on the CLPT (classical laminated plate theory). The Ritz method, in conjunction with the weighted residue method for the coefficients calculation, is used to analytically determine the bending solutions of orthotropic laminated plates subjected to uniform pressure on the bottom laminate. The purposed solutions were critically analysed considering a FEM (finite element method) solution for comparison. Finally, it is presented the experimental device and the experimental test results, as well. Fabrics have been incorporated into two composite plates were required scalps on one direction, thus ensuring different elasticity modules on both directions. Thorough comparison between analytical solutions, numerical results and experimental data is performed and a good agreement is obtained.
出处 《Journal of Mathematics and System Science》 2012年第9期586-592,共7页 数学和系统科学(英文版)
关键词 Composite materials static analysis THIN clamped edge. 矩形薄板 复合板 正交各向异性 微分方程 正交异性板 Ritz法 技术分析 边界条件
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