Perturbation nonlinear response of tension leg platform under regular wave excitation

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Perturbation nonlinear response of tension leg platform under regular wave excitation

Mohammad Reza Tabeshpour1

• Rahim Shoghi

Abstract Conceptual discussion on highly nonlinear

Duffing type equation of surge motion of TLP gives a deep

view on structural response under environmental loads with

some simplifications. Such analytical response is a simple

form that clarifies important points in behavior of the

structure. This paper presents the dynamic motion

responses of a TLP in regular sea waves obtained by

applying three methods in time domain using MATLAB

software. Surge motion equation of TLP is highly nonlinear

because of large displacement and it should be solved with

large perturbation parameter in time domain. In this paper,

homotopy perturbation method (HPM) is used to solve

highly nonlinear differential equation of surge motion.

Also the numerical methods such as modified Euler method

(MEM) and MATLAB are used to solve the ordinary differential

equation of motion. MEM is used for highly

nonlinear Duffing type equation of surge motion of TLP,

whereas the nonlinear part is not considered in MATLAB

solution. Calculated responses by analytical HPM are

compared with those obtained from both MEM and

MATLAB responses.

Keywords Tension leg platform Perturbation Morison

equation

 

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