Behaviour under Moving Distributed Masses of Simply Supported Orthotropic Rectangular Plate Resting on a Constant Elastic Bi-Parametric Foundation

Main Article Content

T. O. Awodola
S. Adeoye

Abstract

This work investigates the behavior under Moving distributed masses of orthotropic rectangular plates resting on bi-parametric elastic foundation. 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[1]. This is 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.

Keywords:
Bi-parametric foundation, orthotropic, foundation modulus, critical speed, resonance, modied frequency.

Article Details

How to Cite
Awodola, T. O., & Adeoye, S. (2020). Behaviour under Moving Distributed Masses of Simply Supported Orthotropic Rectangular Plate Resting on a Constant Elastic Bi-Parametric Foundation. Asian Research Journal of Mathematics, 16(8), 64-92. https://doi.org/10.9734/arjom/2020/v16i830211
Section
Original Research Article

References

Awodola and Adeoye; ARJOM, 16(8): 64-92, 2020; Article no.ARJOM.57775 Competing Interests

Authors have declared that no competing interests exist.

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