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Vibration Analysis of a Stepped Beam by Using Adomian Decomposition Method

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Abstract:

The free vibrations of a stepped Euler-Bernoulli beam are investigated by using the Adomian decomposition method (ADM). The stepped beam consists two uniform sections and each section is considered a substructure which can be modeled using ADM. By using boundary condition and continuity condition equations, the dimensionless natural frequencies and corresponding mode shapes can be easily obtained simultaneously. The computed results for different boundary conditions are presented. Comparing the results using ADM to those given in the literature, excellent agreement is achieved.

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Periodical:

Applied Mechanics and Materials (Volume 160)

Pages:

292-296

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.160.292

Citation:

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Online since:

March 2012

Authors:

Qi Bo Mao, Yan Ping Nie, Wei Zhang

Keywords:

Adomian Decomposition Method, Mode Shape, Natural Frequency, Stepped Beam, Vibration Analysis (VA)

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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