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

ISSN:2141-7016

Article Title: Simply Supported Non Prismatic Beam Resting On Variable Elastic Foundation Carrying Travelling Harmonic Loads
by A. Adedowole and K.S Famuagun

Abstract:
The dynamic response under travelling loads of simply supported non prismatic beam resting on variable elastic foundation is investigated in this paper. The movement of people and goods has always been an important and fundamental component of human endeavours since creation; and development of sophisticated machines and vehicles due to technological advancement has continued to be more complex as the population increases. The safety of lives and properties cannot be overemphasized which makes the study of analysis of moving loads on structural members draws the attentions of researchers in Mechanical, Civil, Aerospace Engineering, and Mathematical Physics and so on . Common examples of such structures include; beam, plates and shells while moving loads include moving trains, trucks, cars, bicycles cranes and so on. Governing equations are solved using Generalized Galerkins technique to reduce the fourth order partial differential equations governing the motion of the beam with variable and singular coefficients to a sequence of second-order non-homogeneous ordinary differential equations. Method of Laplace Integral transforms is employed to solve this initial valued problem to obtain the desired approximate solutions of the reduced equations for the transverse displacement response of the beam dynamical problem. The analytical procedure illustrated practical engineering interest in which the effects of important parameters, axial force and foundation stiffness are investigated in depth. Resonance phenomenon of the vibrating system is carefully investigated and the condition under which this may occur is clearly scrutinized. This will ensure stability and durability of structures carrying loads and guarantee safety of safety of lives and properties. The results presented in this paper will form basis for a further research work in this field. In this study, only simply supported boundary condition is considered. The case of beam under accelerating loads is left for further investigations. The numerical results are presented in plotted curves. Analyses show that higher values of the axial force and foundation stiffness decrease the transverse displacement response of the non prismatic beam under the action of travelling loads resting on variable elastic foundation.
Keywords: variable foundation, non- prismatic beam, harmonic loads, vibrating system differential equation
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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