The Effect of Parameters of Winkler-Pasternak Elastic Foundations on Stress Analysis of Rectangular Plates Subjected to a Moving Load

Subject Areas : Smart & Advanced Materials

احمدرضا خورشیدوند ¹ , علی خیری ² , امیر مسعود الله قلی ³

1 - South Tehran branch, IAU
2 - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mechanical Engineering, South Tehran Branch, Tehran, Iran

Received: 2021-06-12 Accepted : 2021-06-12 Published : 2020-11-01

Keywords: Moving load, Differential quadrature method, Rectangular plates, Elastic foundations, First Order Shear Deformation Theory,

Abstract :

In this study, the stress analysis of rectangular plates resting on Winkler Pasternak model of elastic foundations under a movingconcentrated load with constant velocity and the impact of parameters related to the elastic foundations on normal stresses areinvestigated. The strain components are assumed to be linear and the Poisson’s ratio is kept constant. Based on first order sheardeformation theory (FSDT) and by employing Hamilton’s principle, the theoretical equations of motion and boundary conditionsare derived. Dimensionless discrete equations and boundary conditions have been achieved by using two dimensional generalizeddifferential quadrature method (DQM) and Newmark procedure. The convergence and accuracy of the present formulation andmethod of the solution, where possible, are demonstrated by comparing with the work of other investigators. With these results,the effect of Winkler foundation modulus and stiffness of Pasternak shear layer foundations on normal stresses of plates havebeen investigated. The analysis provides for both simply supported and clamped boundary conditions at edges. It is discoveredthat the Pasternak shear layer has a predominant influence over Winkler elastic modulus on the plates.