Dynamic Response of Thick Plates on Two Parameter Elastic Foundation Under Time Variable Loading

Özgan, Korhan; Daloglu, Ayse T.

doi:10.24107/ijeas.251231

Cited by 1 publication

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The general single equation of a plate which considered the influence of rotary inertia and shear on flexural motions of elastic plates was given by [4]. The elastic Vlasov foundation Q(ξ, η, τ) from [10,11] is given by:…”

Section: Problem Formulationmentioning

confidence: 99%

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.

View full text Add to dashboard Cite

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.

show abstract

Section: Problem Formulationmentioning

confidence: 99%