Transverse Vibration of Non-Uniform Euler-Bernoulli Beam, Using Differential Transform Method (DTM)

Abstract:

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Analysis of transverse vibration of beams is presented in this paper. Unfortunately, complexities which appear in solving differential equation of transverse vibration of non-uniform beams, limit analytical solution to some special cases, so that the numerical method is presented. DTM is a numerical method for solving linear and some non-linear, ordinary and partial differential equations. In this paper, this technique has been applied for solving differential equation of transverse vibration of conical Euler-Bernoulli beam. Natural circular frequencies and mode shapes have been calculated. Comparing results with the cases which exact solution have been presented, shows that DTM is a strong method especially for solving quasi-linear differential equations.

Info:

Periodical:

Edited by:

Wu Fan

Pages:

2400-2405

DOI:

10.4028/www.scientific.net/AMM.110-116.2400

Citation:

K. Torabi et al., "Transverse Vibration of Non-Uniform Euler-Bernoulli Beam, Using Differential Transform Method (DTM)", Applied Mechanics and Materials, Vols. 110-116, pp. 2400-2405, 2012

Online since:

October 2011

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Price:

$35.00

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