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Math. Comput. Appl. 2010, 15(5), 810-815; doi:10.3390/mca15050810

Analytical Solution to Determine Displacement of Nonlinear Oscillations with Parametric Excitation by Differential Transformation Method

1
Department of Mechanical Engineering, Semnan University, Semnan, Iran
2
Department of Mechanical Engineering, Babol University of Technology Babol, P. O. Box 484, Iran
*
Authors to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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Abstract

In this study, sub-harmonic displacement of nonlinear oscillations with parametric excitation is solved using a simulation method called the Differential Transformation Method (DTM). We employed this method to derive solutions of nonlinear oscillations with parametric excitation equation. Also Runge-Kutta as numerical method is exerted to this equation too. The obtained results from DTM are compared with those from the numerical solution to verify the accuracy of the proposed method. The results specify that the technique introduced here is accurate and achieve suitable results in predicting the solution of such problems.
Keywords: Differential Transformation Method (DTM); Numerical Solution (NS); Runge-Kutta; Sub-harmonic; Nonlinear oscillations; parametric excitation Differential Transformation Method (DTM); Numerical Solution (NS); Runge-Kutta; Sub-harmonic; Nonlinear oscillations; parametric excitation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Fereidoon, A.; Kordani, N.; Rostamiyan, Y.; D.Ganji, D. Analytical Solution to Determine Displacement of Nonlinear Oscillations with Parametric Excitation by Differential Transformation Method. Math. Comput. Appl. 2010, 15, 810-815.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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