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An approximate method for the surge response of the tension leg platform

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Abstract

The solution for the Duffing equation in a nonlinear vibration problem is studied in this paper. Clearly, in the case of the perturb parameter being a larger value, the traditional perturbation method is no longer valid but the Homotopy Perturbation Method (HPM) is applicable usually. HPM is used to solve the weak and strong nonlinear differential equations for finding the perturbed frequency of the response. The obtained frequencies via HPM and the approximate method have good accordance for weak and strong nonlinear differential equations. Additionally, the calculated responses by use of the approximate method are compared with the responses obtained from the Numerical method in the time history of the response and phase plane. The results represent good accordance between them.

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Author information

Authors and Affiliations

  1. Faculty of Civil Engineering, Tabriz University, Tabriz, Iran

    Rahim Shoghi

  2. Center of Excellence in Hydrodynamics and Dynamics of Marine Vehicles, Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran

    Mohammad Reza Tabeshpour

Authors
  1. Rahim Shoghi
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  2. Mohammad Reza Tabeshpour
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Corresponding author

Correspondence to Mohammad Reza Tabeshpour.

Additional information

Rahim Shoghi acquired his MSc in Offshore Structure Engineering from University of Tabriz, Iran in 2011 for the work titled “Time and frequency domain analysis of TLP with tuned mass damper under nonlinear wave via perturbation method”. Currently he is working in the areas of nonlinear dynamic, vibrations, and hydrodynamic. He is a member of the ISAV (Iranian Society of Acoustics and Vibration).

Mohammad Reza Tabeshpour assistant professor of Mechanical Engineering Department in Sharif University of Technology. Now he is working on deep offshore structures and rehabilitation of shallow water jackets.

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Shoghi, R., Tabeshpour, M.R. An approximate method for the surge response of the tension leg platform. J. Marine. Sci. Appl. 13, 99–104 (2014). https://doi.org/10.1007/s11804-014-1223-4

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  • DOI: https://doi.org/10.1007/s11804-014-1223-4

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