Journal of Applied Nonlinear Dynamics 10(4) (2021) 627--643 | DOI:10.5890/JAND.2021.12.004

A.M. Ngounou$^1$, B.R. Nana Nbendjo$^{1,2}$ , U. Dorka$^2$

$^1$ Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

$^2$ Steel and Composite Structures, University of Kassel,Kurt-Wolters-Strasse 3, Kassel 34125, Germany

Abstract

In this study, the dynamic response of the tension leg platform (TLP) under sea waves excitation is investigated. One establishes the analytical framework consisting of mathematical modeling of TLP taking into account the tendons and the delay. We analyse the stability and determine the physical characteristics of tendon system that allow the system to be always stable. Conditions on the space parameters of the system for which harmonic, subharmonic, superharmonic, combination resonants states are obtained using the multiple time scales method. The results show that the stability area of the system decreases when the delay increases and increases when the damping coefficient increases. Furthermore, increasing the time- delay only increases the value of the maximum amplitude response of the system. However, reasonable selection of the system parameters can effectively reduce the level of vibration of the system.

Acknowledgments

A.M. Ngounou is grateful to University of Kassel in Germany for invitation for a research visit within the renew stay Humboldt Fellowship. Prof Nana Nbendjo is grateful to the Alexander von Humboldt Foundation for financial support.

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