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Nonlinear Vertical Vibration of Tension Leg Platforms with Homotopy Analysis Method

Published online by Cambridge University Press:  28 May 2015

Arash Reza  and
Hamid M. Sedighi
Arash Reza*
Affiliation:
Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Hamid M. Sedighi
Affiliation:
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Iran
*
*Corresponding author. Email: arashreza@gmail.com (A. Reza), hmsedighi@gmail.com (H. M. Sedighi)
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Abstract

One of the useful methods for offshore oil exploration in the deep regions is the use of tension leg platforms (TLP). The effective mass fluctuating of the structure which due to its vibration can be noted as one of the important issues about these platforms. With this description, dynamic analysis of these structures will play a significant role in their design. Differential equations of motion of such systems are nonlinear and providing a useful method for its analysis is very important. Also, the amount of added mass coefficient has a direct effect on the level of nonlinearity of partial differential equation of these systems. In this study, Homotopy analysis method has been used for closed form solution of the governing differential equation. Linear springs have been used for modeling the stiffness of this system and the effects of torsion, bending and damping of water have been ignored. In the study of obtained results, the effect of added mass coefficient has been investigated. The results show that increasing of this coefficient decreases the bottom amplitude of fluctuations and the system frequency. The obtained results from this method are in good agreement with the published results on the valid articles.

Keywords

70G9970K2582C80TLPHomotopy analysis methodnonlinear vibrational equationadded massvertical vibration
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 3 , June 2015 , pp. 357 - 368
Copyright
Copyright © Global-Science Press 2015 

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