Flexural Motion of Elastically Supported Rectangular Plates under Concentrated Moving Masses and Resting on Bi-Parametric Elastic Foundation

Awodola, T. O.; Omolofe, B.

doi:10.1007/s42417-018-0031-6

Cited by 4 publications

(2 citation statements)

References 5 publications

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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: 92%

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Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load

Niyi¹,

Aiyesimi²,

Jiya³

et al. 2019

Open J. Math. Sci.

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The effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by varying moving load resting on Vlasov foundation is investigated in this work. The problem is solved for concentrated loads with simply supported boundary conditions. An analytic solution based on the Galerkin's method is used to reduce the fourth order partial differential equation into a system of coupled fourth order differential equation and a modification of the Struble's technique and Laplace transforms are used to solve the resulting fourth order differential equation. Results obtained indicate that shear deformation and rotary inertia have significant effect on the dynamics of the anisotropic plate on the Vlasov foundation. Solutions are obtained for both the moving force and the moving mass problems. From the graphical results obtained, the amplitude of vibrations of the plate under moving mass is greater than that of the moving force and increasing the value of rotary inertia R 0 reduces the amplitude of vibration of the plate. increasing the mass ratio increases the amplitude of vibration of the plate.

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Section: Discussionsupporting

confidence: 92%

“…To solve (25), we use an approximate analytic solution a modification of the asymptotic method due to Strubble's technique as used by [12][13][14]. To this end, a modified frequency corresponding to the frequency of the free system due to the presence of the effect of the moving mass is sought by using:…”

Section: Case Ii: Moving Massmentioning

confidence: 99%