|Table of Contents|

Citation:
　Rahim Shoghi and Mohammad Reza Tabeshpour.An Approximate Method for the Surge Response of the Tension Leg Platform[J].Journal of Marine Science and Application,2014,(1):99-104.[doi:10.1007/s11804-014-1223-4]
Click and Copy

An Approximate Method for the Surge Response of the Tension Leg Platform

Info

Title:
An Approximate Method for the Surge Response of the Tension Leg Platform
Author(s):
Rahim Shoghi and Mohammad Reza Tabeshpour
Affilations:
Author(s):
Rahim Shoghi and Mohammad Reza Tabeshpour
1. Faculty of Civil Engineering, Tabriz University, Tabriz, Iran 2. Center of Excellence in Hydrodynamics and Dynamics of Marine Vehicles, Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran
Keywords:
Duffing equation;  nonlinear vibration;  surge response;  tension leg platform;  perturbation;  differential equations
分类号:
-
DOI:
10.1007/s11804-014-1223-4
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 Clearly, in the case of the perturb parameter being a larger value, the traditional perturbation method is no longer valid but the Homotopy Perturbation Method (HPM) is applicable usually.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.

References:

Chandrasekaran S, Jain AK (2002). Dynamic behaviour of square and triangular offshore tension leg platforms under regular wave loads. Ocean Engineering, 29(3), 279–313.
Golafshani AA, Tabeshpour MR, Seif MS (2007). First order perturbation solution for axial vibration of tension leg platforms. Scientia Iranica, 14(5), 414-423.
He JH (1998). Approximate solution of nonlinear differential equations with convolution product nonlinearities. Computer Methods in Applied Mechanics and Engineering, 167(1), 69-73.
He JH (1999). Homotopy perturbation technique. Computer methods in applied Mechanics and Engineering, 178(3), 257-262.
He JH (2000). A coupling method of a homotopy technique and a perturbation technique for nonlinear problems. International Journal of Nonlinear Mechanics, 35(2000), 37–43.
He JH (2006). Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B, 20(2006),1141-1199.
He JH (2012). Asymptotic methods for solitary solutions and compactons. Abstract and Applied Analysis, 2012(2012), Article ID 916793.
He JH (2012). Homotopy Perturbation Method with an Auxiliary Term. Abstract and Applied Analysis, 2012(2012), Article ID 857612.
http://www.offshore-technology.com/projects/glider/glider1.html.
Kelli SG (1996). Theory and Problems of Mechanical Vibrations, McGraw-Hill, New York.
Kurian VJ, Ng CY, Yassir MA (2010). Response of semi-submersible platform by Morison equation and diffraction theory. World Engineering Congress, Perak, Malaysia.
Nayfeh AH, Mook DT (1978). Non-linear Oscillations. Wiley, New York.
Nayfeh AH (1981). Introduction to Perturbation Techniques. Wiley, New York.
Tabeshpour MR, Golafshani AA, Seif MS (2006). Second-order perturbation added mass fluctuation on vertical vibration of tension leg platforms. Marine Structures, 19(4), 271-283.
Tabeshpour MR, Shoghi R (2012). Comparison between linear and non-linear models for surge motion of TLP. International Journal of Marine Science and Engineering, 3, 153-162.
Tabeshpour MR (2013). Conceptual discussion on free vibration analysis of tension leg platforms. Development and Applications of Oceanic Engineering (DAOE), 2(2), 45-53.

Memo

Memo:
-
Last Update: 2014-11-04