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

In this study, the stress analysis of rectangular plates resting on Winkler Pasternak model of elastic foundations under a moving concentrated load with constant velocity and the impact of parameters related to the elastic foundations on normal stresses are investigated. The strain components are assumed to be linear and the Poisson’s ratio is kept constant. Based on first order shear deformation theory (FSDT) and by employing Hamilton’s principle, the theoretical equations of motion and boundary conditions are derived. Dimensionless discrete equations and boundary conditions have been achieved by using two dimensional generalized differential quadrature method (DQM) and Newmark procedure. The convergence and accuracy of the present formulation and method 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 have been investigated. The analysis provides for both simply supported and clamped boundary conditions at edges. It is discovered that the Pasternak shear layer has a predominant influence over Winkler elastic modulus on the plates

Keywords:

Rectangular plates , Elastic foundations , Moving load , First order shear deformation theory , Differential quadrature method