On the Dynamic Characteristics of Orthotropic Rectangular Platesunder the Influence of Moving Distributed Masses and Resting on aVariable Elastic Pasternak Foundation

Authors

  • Adeoye Adebola Samuel Department of Mathematical Sciences,Achievers University, Owo, Ondo State, Nigeria Author
  • Adeloye TO Department of Mathematics, Nigeria Maritime University, Okerenkoko, Warri South-west Delta, Nigeria Author

DOI:

https://doi.org/10.47363/JMSMR/2024(5)163

Keywords:

Variable Bi-Parametric Foundation, Orthotropic, Critical Speed, Flexural Rigidity, Elastic Pasternak Foundation, Resonance, Modified Frequency, Clamped and Clamped Free End Conditions

Abstract

This work studies the dynamic characteristics of orthotropic rectangular plates under the influence of moving distributed masses and resting on a variable elastic Pasternak foundation. The governing equation is a fourth order partial differential equation with variable and singular coefficients. 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, then simplified using asymptotic method of Struble [11]. The closed form solution is analyzed, resonance conditions are obtained and the results are depicted graphically for both cases of moving distributed mass and moving distributed force.

Author Biographies

  • Adeoye Adebola Samuel, Department of Mathematical Sciences,Achievers University, Owo, Ondo State, Nigeria


    Department of Mathematical Sciences,Achievers University, Owo, Ondo State, Nigeria

  • Adeloye TO, Department of Mathematics, Nigeria Maritime University, Okerenkoko, Warri South-west Delta, Nigeria


    Department of Mathematics, Nigeria Maritime University, Okerenkoko, Warri South-west Delta, Nigeria

Downloads

Published

2024-01-22

Issue

Vol. 5 No. 1 (2024): Volume 5, Issue 1

Section

Articles