2014
DOI: 10.2478/jtam-2014-0017
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Response to Concentrated Moving Masses of Elastically Supported Rectangular Plates Resting on Winkler Elastic Foundation

Abstract: The dynamic response to moving concentrated masses of elastically supported rectangular plates resting on Winkler elastic foundation is investigated in this work. This problem, involving non-classical boundary conditions, is solved and illustrated with two common examples often encountered in engineering practice. Analysis of the closed form solutions shows that, for the same natural frequency (i) the response amplitude for the moving mass problem is greater than that one of the moving force problem for fixed … Show more

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Cited by 3 publications
(3 citation statements)
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“…The results also indicate that the amplitude of vibrations of the plate under moving mass is greater than that of the moving force for same values of shear modulus and rotary inertia. Results obtained in this study is consistent with results obtained by [6,[14][15][16].…”
Section: Discussionsupporting
confidence: 93%
See 1 more Smart Citation
“…The results also indicate that the amplitude of vibrations of the plate under moving mass is greater than that of the moving force for same values of shear modulus and rotary inertia. Results obtained in this study is consistent with results obtained by [6,[14][15][16].…”
Section: Discussionsupporting
confidence: 93%
“…The researchers, in [1,2,4] worked on the effect of shear deformation and rotary inertia on anisotropic plates with consideration for flexural vibrations, wave amplitude and natural frequencies but not on moving loads. The problem moving loads transversing plates have received little attention unlike the effect of moving loads on isotropic plates and beams have also been studied by authors including [5][6][7] have given solutions using analytic and approximate methods such as he finite difference, Galerkin, Rayleigh-Ritz, transfer matrix and finite element methods. Kocaturk [8] studied rectangular anisotropic (orthotropic) plates on a tensionless elastic foundation and Ozgan [9] modeled laminated orthotropic plate-foundation interaction subjected to moving load using Vlasov model.…”
Section: Introductionmentioning
confidence: 99%
“…When the inertia effect of the mass of the load moving on the elastic solid body is considered, the governing differential equation of motion becomes complex, intractable, and cumbersome as the coefficients become variable and singular Awodola and Omolofe . This scenario is referred to as the moving mass problem.…”
Section: Introductionmentioning
confidence: 99%