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Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS)

ISSN:2141-7016

Article Title: Response to Moving Variable Concentrated Load Of Non-Uniform Beams Resting On Exponentially Decaying Foundation
by J. M. Tolorunshagba

Abstract:
In this paper the dynamic analysis of non-prismatic beams supported along its length by a continuous elastic foundation under the action of non-parametric (moving forces) loads is carried out. In recent times, there is daily increase in vehicle-structure induced vibrations as a result of their unavoidable interaction especially in transport engineering. The constant awareness of the devastating effects these vibrations have on the structures traversed by loads awaken the interest of researchers increasingly. In recent times, this outstanding problem plays important role in the design of both highway and railway bridges as well as railroad tracks. The versatile Galerkin method of obtaining approximate analytical solution of problems such as this is used to reduce the fourth-order partial differential equation governing the motion of the beam to second-order non-homogeneous ordinary differential equation in t. Laplace Integral transformation method is then employed to solve this inital-valued problem to obtain the desired approximate analytical solution for the transverse displacement response of the beam dynamical problem. Thereof the effects of some physical phenomena are investigated through numerical illustration of the obtained approximate analytical result. These are shown in plotted curves and the observations discussed. The graphs reveal that the transverse deflection of the beam decreases with increase in the values of axial force when the value of foundation stiffness is fixed. Equally the transverse deflection of the beam structure decreases with increase in the values of foundation stiffness for fixed value of axial force. These clearly indicates that the presence of foundation stiffness and axial force reduce the deflection of the beam structure thus avoiding the devastating effects of intensive vibrations and ensuring stability and durability of structures carrying loads on one hand and guarantee safety of environment , passengers and conveying vehicles on the other.
Keywords: foundation stiffness, axial force, non-prismatic beam, galerkin's method.
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ISSN: 2141-7016

Editor in Chief.

Prof. Gui Yun Tian
Professor of Sensor Technologies
School of Electrical, Electronic and Computer Engineering
University of Newcastle
United Kingdom

 

 

Copyright © Journal of Emerging Trends in Engineering and Applied Sciences 2010