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
Related Articles
- EP ID EP338386
- DOI 10.9734/ARJOM/2017/36810
- Views 64
- Downloads 0
Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method
In this paper, we present a numerical method for solving linear and nonlinear Volterra integral equations of the second kind which is based on the use of Adomian decomposition method. It can effectively solve problems th...
From Pascal Triangle to Golden Pyramid
We introduce a “structure” of epic proportions – golden pyramid whose sacred geometry is “Fibonacci squared”. In terms of mathematical beauty, the golden pyramid will perhaps be found to be comparable to Pascal triangle.
On Generalization of a Reverse Hilbert's Type Inequality
We establish an inequality of a weight coecient by introducing a parameter and using the Euler-Maclaurin expansion. Using this inequality, we derive a reverse of the Hilbert's type inequality. As an applications, an e...
Topologized Cut Vertex and Edge Deletion
In this paper discussed and study a new result of non-topologized graph by using cut vertex and cut edge component of the graph makes the graph to be Topologized graph. This concept implemented to some families of graph.
Epidemic Model Formulation, Analysis and Simulation of Rotavirus Diarrhea for Prevention
Aims: Practical employment of epidemic models for rotavirus diarrhea is the aim of the study so that prevention is attained more swiftly thus reducing global disease burdens, mortality rates and financial burdens due to...