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

Niyi, Olorunsola Oriola and Aiyesimi, Yomi Monday and Jiya, Mohammed and Yusuf, Abdulhakeem and Bolarin, Gbolahan (2019) Effects of shear deformation and rotary inertia on the dynamics of anisotropic plates traversed by moving concentrated load. Open Journal of Mathematical Sciences, 3 (1). pp. 310-321. ISSN 26164906

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Abstract

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.

Item Type: Article
Subjects: Apsci Archives > Mathematical Science
Depositing User: Unnamed user with email support@apsciarchives.com
Date Deposited: 28 Jan 2023 07:27
Last Modified: 23 Apr 2024 12:17
URI: http://eprints.go2submission.com/id/eprint/347

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