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Journal of Marine Science and Application

, Volume 12, Issue 1, pp 72–88 | Cite as

Boundary control of coupled nonlinear three dimensional marine risers

  • T. L. Nguyen
  • K. D. Do
  • J. Pan
Research Paper

Abstract

This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser’s motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser’s vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results.

Keywords

marine risers boundary control nonlinear dynamics equations of motion nonlinear couplings 

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Copyright information

© Harbin Engineering University and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mechanical and Chemical EngineeringThe University of Western AustraliaCrawleyAustralia
  2. 2.Department of Mechanical EngineeringCurtin UniversityCrawleyAustralia
  3. 3.School of Mechanical and Chemical EngineeringThe University of Western AustraliaCrawleyAustralia

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