Dynamic Response of Non-Uniform Elastic Structure Resting on Exponentially Decaying Vlasov Foundation under Repeated Rolling Concentrated Loads
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 4
Abstract
In this paper, the motion of a non-uniform elastic structure resting on exponentially decaying Vlasov foundation and under repeated rolling concentrated loads moving with constant velocity is analyzed. The governing equation is a fourth order partial differential equation. The solution technique is based on the method of Galerkin with series representation of Heaviside function. The result shows that, an increase in the values of the structural parameters such as foundation stiffness, foundation modulus and distance x along span of the beam reduces the response amplitude of the beam for the dynamic problem.
Authors and Affiliations
Jimoh Sule Adekunle, Awelewa Oluwatundun Folakemi
Keywords
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- EP ID EP338386
- DOI 10.9734/ARJOM/2017/36810
- Views 74
- Downloads 0
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