Vibration of Orthotropic Rectangular Plates Under the Action of Moving Distributed Masses and Resting on a Variable Elastic Pasternak Foundation with Clamped End Conditions

Awodola T.O, Adeoye A.S

Variable bi-parametric foundation, orthotropic, foundation modulus, critical speed, flexural rigidity, shear modulus resonance, modified frequency, clamped end conditions.

This work investigates the vibration of orthotropic rectangular plate resting on a variable elastic Pasternak foundation under the action of moving distributed masses. The governing equation is a fourth order partial differential equation with variable and singular co-efficients. The solutions to the problem are obtained by transforming the fourth order partial differential equation for the problem to a set of coupled second order ordinary differential equations using the technique of Shadnam et al[11] which are then simplified using modified asymptotic method of Struble. The closed form solution is analyzed, resonance conditions are obtained and the results are presented in plotted curves for both cases of moving distributed mass and moving distributed force.

Received: 15 Mar 2021; Received in revised form: 22 Apr 2021; Accepted: 25 May 2021; Available online: 11 Jun 2021