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Ruta P. 2006. ‘The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem’. Journal of Sound and Vibration. Volume 296. Page 243-263.

has been cited by the following article:

Article

Analysis of Vibration of a Pipeline Supported on Elastic Soil Using Differential Transform Method

1Department of Mechanical Engineering, Islamic Azad University, Shadegan Branch, Shadegan, Iran

2Department of Computer Scince, Islamic Azad University, Shadegan Branch, Shadegan, Iran


American Journal of Mechanical Engineering. 2013, Vol. 1 No. 4, 96-102
DOI: 10.12691/ajme-1-4-4
Copyright © 2013 Science and Education Publishing

Cite this paper:
Mohammad Amin Rashidifar, Ali Amin Rashidifar. Analysis of Vibration of a Pipeline Supported on Elastic Soil Using Differential Transform Method. American Journal of Mechanical Engineering. 2013; 1(4):96-102. doi: 10.12691/ajme-1-4-4.

Correspondence to: Mohammad Amin Rashidifar, Department of Mechanical Engineering, Islamic Azad University, Shadegan Branch, Shadegan, Iran. Email: rashidifar_58@yahoo.com

Abstract

In this paper, a simulation method called the differential transform Method (DTM) is employed to predict the vibration of an Euler-Bernoulli and Timoshenko beam (pipeline) resting on an elastic soil. The differential transform method is introduced briefly. DTM can easily be applied to linear or nonlinear problems and reduces the size of computational work. With this method exact solutions may be obtained without any need of cumbersome work and it is a useful tool for analytical and numerical solutions. To make clear and illustrate the features and capabilities of the presented method, different problems have been solved by using the technique and solutions have been compared with those obtained in the literature.

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