Elasticity Based Stress Analysis under Arbitrary Load using Fourier Series

Lalit K. Patil; Sunil Bhat

doi:10.4028/www.scientific.net/AMM.367.106

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Design of Fault Tolerant Control Laws for Jet Engines
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Modeling and Simulation of Dynamic Property of Vehicle Frame Based on Finite Element Method
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 367Elasticity Based Stress Analysis under Arbitrary...

Elasticity Based Stress Analysis under Arbitrary Load using Fourier Series

Abstract:

The paper presents a methodology to obtain the stress solution of a simply supported beam subjected to arbitrary load with the help of, elasticity based, Fourier series approach. The applied load spectrum is converted into Fourier series with constant, sine and cosine components for which the solutions are available. The individual solutions are superimposed to obtain the final result. Deviations are noticed on comparing the results with those obtained from the conventional strength of material approach.

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Periodical:

Applied Mechanics and Materials (Volume 367)

Pages:

106-112

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.367.106

Citation:

Cite this paper

Online since:

August 2013

Authors:

Lalit K. Patil, Sunil Bhat

Keywords:

Arbitrary Load, Bi-Harmonic Equation, Fourier Series, Stress Function

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