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

Journal of Mechanical Research and Application

دوره 10، شماره 3، بهمن 2020، صفحه 11-20   

نویسندگان

Ahmad reza Khorshidvand^{* 1}؛ Ali akhzary²؛ amir masoud Allahgholi³

¹South Tehran branch, IAU

²Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

³Department of Mechanical Engineering, South Tehran Branch, Tehran, Iran

چکیده

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.

کلیدواژه‌ها

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