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7. Mechanics, Astronomy, Numerical Analysis, and Mathematical Models in Sciences

Bending analysis of a nonhomogeneous rectangular plate resting on foundation using Rayleigh-Ritz method

Yajuvindra Kumar
Government Girls Degree College, Behat, India

Abstract:

Bending analysis of a thin nonhomogeneous uniform rectangular plate resting on Winkler foundation subjected to uniformly distributed load, hydrostatic pressure and bi-sinusoidal load is presented. The mathematical model is developed using classical plate theory. The two opposite edges of the plate are either clamped or simply supported. The Rayleigh-Ritz method with simple algebraic polynomials is used to calculate the results. The displacements and bending moments are calculated for different boundary conditions. The effects of nonhomogenity parameters, aspect ratio and foundation parameter on displacement and bending moments are thoroughly examined. Numerical results in special cases have been compared with previously published ones.