Boundary control of coupled nonlinear three dimensional marine risers

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 longit...

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Main Authors: Nguyen, T., Do, Khac Duc, Pan, J.
Format: Journal Article
Published: Harbin Engineering University 2013
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/21705
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author Nguyen, T.
Do, Khac Duc
Pan, J.
author_facet Nguyen, T.
Do, Khac Duc
Pan, J.
author_sort Nguyen, T.
building Curtin Institutional Repository
collection Online Access
description 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.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:40:26Z
publishDate 2013
publisher Harbin Engineering University
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spelling curtin-20.500.11937-217052017-09-13T13:55:43Z Boundary control of coupled nonlinear three dimensional marine risers Nguyen, T. Do, Khac Duc Pan, J. marine risers equations of motion nonlinear dynamics nonlinear couplings boundary control 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. 2013 Journal Article http://hdl.handle.net/20.500.11937/21705 10.1007/s11804-013-1175-8 Harbin Engineering University restricted
spellingShingle marine risers
equations of motion
nonlinear dynamics
nonlinear couplings
boundary control
Nguyen, T.
Do, Khac Duc
Pan, J.
Boundary control of coupled nonlinear three dimensional marine risers
title Boundary control of coupled nonlinear three dimensional marine risers
title_full Boundary control of coupled nonlinear three dimensional marine risers
title_fullStr Boundary control of coupled nonlinear three dimensional marine risers
title_full_unstemmed Boundary control of coupled nonlinear three dimensional marine risers
title_short Boundary control of coupled nonlinear three dimensional marine risers
title_sort boundary control of coupled nonlinear three dimensional marine risers
topic marine risers
equations of motion
nonlinear dynamics
nonlinear couplings
boundary control
url http://hdl.handle.net/20.500.11937/21705