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BENDING OF A SIMPLY SUPPORTED RECTANGULAR PLATE WITH ARBITRARY LAMINATION

机译:BENDING OF A SIMPLY SUPPORTED RECTANGULAR PLATE WITH ARBITRARY LAMINATION

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摘要

An unavailable analytical solution to a simply supported rectangular plate with arbitrary laminations is presented. The deformation formulation of the plate characterized by Kirchhoff theory, suitable for thin plates, results in three highly coupled partial differential equations. A double Fourier series approach has been developed to solve these equations in conjunction with the admissible boundary conditions. The accuracy of the solution approach is ascertained by studying the convergence nature of displacement and moment numerically. Numerical results are compared with the available first order shear deformation-based finite element solutions. The numerical results thus presented should serve as bench-marks for future comparisons.

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