In this paper, a novel boundary control method is investigated to suppress the vertical vibration of a very large floating structure (VLFS) with regular waves. The VLFS can be described as a distributed parameter system with partial differential equation (PDE). The proposed boundary controllers are developed based on Lyapunov's direct method to act on the upstream and downstream ends of the VLFS, respectively. Along with the suitable choice of control parameters, the proposed controllers could stabilize the vertical vibration of the VLFS subjected to regular waves. This study verifies the effectiveness of the proposed control methods to the VLFS. Then, the effects of wave amplitude and bending rigidity on the hydroelastic response of the VLFS are investigated.
Issue Section:
Research Papers
References
1.
Wang
, C. M.
, Watanabe
, E.
, and Utsunomiya
, T.
, 2008
, Very Large Floating Structures
, Taylor & Francis
, Abingdon, UK
.2.
Wang
, C. M.
, Tay
, Z. Y.
, Takagi
, K.
, and Utsunomiya
, T.
, 2010
, “Literature Review of Methods for Mitigating Hydroelastic Response of VLFS Under Wave Action
,” ASME Appl. Mech. Rev.
, 63
(3), pp. 1
–18
.3.
Watanabe
, E.
, Utsunomiya
, T.
, and Wang
, C. M.
, 2004
, “Hydroelastic Analysis of Pontoon-Type VLFS: A Literature Survey
,” Eng. Struct.
, 26
(2
), pp. 245
–256
.4.
Suzuki
, H.
, Yoshida
, K.
, and Iijima
, K.
, 1996
, “A Consideration of the Structural Design of a Large-Scale Floating Structure
,” J. Mar. Sci. Technol.
, 1
(5
), pp. 255
–267
.5.
Riyansyah
, M.
, 2009
, “Hydroelastic Response of Interconnected Floating Beams Modelling Longish Very Large Floating Structures
,” Ph.D. thesis, National University of Singapore, Singapore.6.
Khabakhpasheva
, T. I.
, and Korobkin
, A. A.
, 2002
, “Hydroelastic Behaviour of Compound Floating Plate in Waves
,” J. Eng. Math.
,” 44
(1
), pp. 21
–40
.7.
Gao
, R. P.
, Tay
, Z. Y.
, Wang
, C. M.
, and Koh
, C. G.
, 2011
, “Hydroelastic Response of Very Large Floating Structure With a Flexible Line Connection
,” Ocean Eng.
, 38
(17–18), pp. 1957
–1966
.8.
Gao
, R. P.
, Wang
, C. M.
, and Koh
, C. G.
, 2013
, “Reducing Hydroelastic Response of Pontoon-Type Very Large Floating Structures Using Flexible Connector and Gill Cells
,” Eng. Struct.
, 52
, pp. 372
–383
.9.
Pinkster
, J. A.
, 1997
, “The Effect of Air Cushions Under Floating Offshore Structures
,” Eighth International Conference on the Behaviour of Offshore Structures
, pp. 143–158.10.
Pinkster
, J. A.
, Fauzi
, A.
, Inoue
, Y.
, and Tabeta
, S.
, 1998
, “The Behaviour of Large Air Cushion Supported Structures in Waves
,” Second International Conference on Hydroelasticity in Marine Technology
, pp. 497–505.11.
Pinkster
, J. A.
, and Scholte
, M. E. J. A.
, 2001
, “The Behavior of a Large Air-Supported MOB at Sea
,” Mar. Struct.
, 14
(1–2), pp. 163
–179
.12.
Ohta
, H.
, Torii
, N.
, Hayashi
, T.
, Watanabe
, E.
, Utsunomiya
, T.
, Sekita
, K.
, and Sunahara
, S.
, 1999
, “Effect of Attachment of a Horizontal/Vertical Plate on the Wave Response of a VLFS
,” Third International Workshop on Very Large Floating Structures
, Honolulu, HI, Sept. 22–24, pp. 265–274.13.
Ohta
, M.
, Ozaki
, M.
, Matsuura
, M.
, Tanigaki
, S.
, Shuku
, M.
, and Inoue
, S.
, 2002
, “A Study on Progress in Antiwave Performance of Mega-Float
,” 12th International Offshore and Polar Engineering Conference
, pp. 275–281.14.
Bathe
, K. J.
, 2007
, Finite Element Procedures
, Prentice Hall, Cambridge, UK.15.
Balas
, M. J.
, 1978
, “Feedback Control of Flexible Systems
,” IEEE Trans. Autom. Control
, 23
(4
), pp. 673
–679
.16.
Hu
, Q.
, 2008
, “Adaptive Output Feedback Sliding-Mode Manoeuvring and Vibration Control of Flexible Spacecraft With Input Saturation
,” IET Control Theory Appl.
, 2
(6
), pp. 467
–478
.17.
He
, W.
, and Ge
, S. S.
, 2014
, “Vibration Control of a Nonuniform Wind Turbine Tower Via Disturbance Observer
,” IEEE/ASME Trans. Mechatronics
, 20
(1), pp. 237
–244
.18.
Vatankhah
, R.
, Najafi
, A.
, Salarieh
, H.
, and Alasty
, A.
, 2015
, “Lyapunov-Based Boundary Control of Strain Gradient Microscale Beams With Exponential Decay Rate
,” ASME J. Vib. Acoust.
, 137
(3
), p. 031003
.19.
He
, W.
, Ge
, S. S.
, How
, B. V. E.
, Choo
, Y. S.
, and Hong
, K. S.
, 2011
, “Robust Adaptive Boundary Control of a Flexible Marine Riser With Vessel Dynamics
,” Automatica
, 47
(4
), pp. 722
–732
.20.
How
, B. V. E.
, Ge
, S. S.
, and Choo
, Y. S.
, 2009
, “Active Control of Flexible Marine Risers
,” J. Sound Vib.
, 320
(4–5), pp. 758
–776
.21.
Nguyen
, T. L.
, Do
, K. D.
, and Pan
, J.
, 2013
, “Boundary Control of Two-Dimensional Marine Risers With Bending Couplings
,” J. Sound Vib.
, 332
(16
), pp. 3605
–3622
.22.
Hardy
, G. H.
, Littlewood
, J. E.
, and Polya
, G.
, 1959
, Inequalities
, Cambridge University Press
, Cambridge, UK
.23.
Queiroz
, M. S.
, Dawson
, D. M.
, Nagarkatti
, S. P.
, and Zhang
, F.
, 2000
, Lyapunov Based Control of Mechanical Systems
, Birkhauser
, Boston
.24.
Ge
, S. S.
, He
, W.
, How
, B. V. E.
, and Choo
, Y. S.
, 2010
, “Boundary Control of a Coupled Nonlinear Flexible Marine Riser
,” IEEE Trans. Control Syst. Technol.
, 18
(5
), pp. 1080
–1091
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