Vibration Reduction of Floating Elastic Plates in Surface Waves

ZHAO Cun-bao; ZHANG Jia-zhong; HUANG Wen-hu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(8): 929-938

ZHAO Cun-bao, ZHANG Jia-zhong, HUANG Wen-hu. Vibration Reduction of Floating Elastic Plates in Surface Waves[J]. Applied Mathematics and Mechanics, 2007, 28(8): 929-938.

Citation:

ZHAO Cun-bao, ZHANG Jia-zhong, HUANG Wen-hu. Vibration Reduction of Floating Elastic Plates in Surface Waves[J]. Applied Mathematics and Mechanics, 2007, 28(8): 929-938.

Citation:

ZHAO Cun-bao, ZHANG Jia-zhong, HUANG Wen-hu. Vibration Reduction of Floating Elastic Plates in Surface Waves[J]. Applied Mathematics and Mechanics, 2007, 28(8): 929-938.

PDF( 435 KB)

Vibration Reduction of Floating Elastic Plates in Surface Waves

Department Aerospace Engineering & Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 2006-02-28
Rev Recd Date: 2007-05-21
Publish Date: 2007-08-15

Abstract

Abstract

Based on the dynamical theories of water waves and dynamics of Mindlin thick plates,the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate were presented by using the Wiener-Hopf technique.Firstly,regardless of without the case of elastic connector,the calculated results obtained by the present method were in good agreement with the results from the literature and the experiment.So it can be shown that the present method is valid.Finally,the relation between the spring stiffness to be used to connect the sea bottom and the floating plate,and the parameters of wave-induced responses of floating plates was analyzed by using the present method.Therefore,these results can be used as theoretical bases at the design stage of the super floating platform systems.
- diffraction of water wave,
- elastic floating plate,
- Mindlin thick plates theory,
- Wiener-Hopf technique,
- vibration reduction,
- transmission and reflection coefficient

FullText(HTML)

References(13)

References

[1]	Wu C,Watanabe E,Utsunomiya T.An eigenfunction expansion-matching method for analyzing the wave-induced responses of an elastic floating plate[J].Applied Ocean Research,1995,17(5):301-310. doi: 10.1016/0141-1187(95)00023-2
[2]	Korobkin A A.Numerical and asymptotic investigation of the problem of the hydroelastic behavior of a floating plate in waves[J].Zh Prikl Mekh Tekh Fiz,2000,41(2):90-92 .
[3]	Linton C M.Hyuck Chung.Reflection and transmission at the ocean/sea-ice boundary[J].Wave Motion,2003,38:43-52. doi: 10.1016/S0165-2125(03)00003-9
[4]	Andrianov A I, Hermans A J.The influence of water depth on the hydroelastic response of a very large floating platform[J].Marine Structures,2003,16(5):355-371. doi: 10.1016/S0951-8339(03)00023-6
[5]	Ohkusu M, Namba Y. Analysis of hydroelastic behaviour of a large floating platform of thin plate configuration in waves[A].In:Proceedings of the International Workshop on Very Large Floating Structures[C].Hayama,Japan,1996,143-148.
[6]	Ohkusu M, Namba Y. Hydroelastic analysis of a large floating structure[J].Journal of Fluids and Structures,2004,19(4):543-555. doi: 10.1016/j.jfluidstructs.2004.02.002
[7]	Kanoria M, Mandal B N,Chakrabarti A. The Wiener-Hopf solution of a class of mixed boundary value problems arising in surface water wave phenomena[J].Wave Motion,1999,29:267-292. doi: 10.1016/S0165-2125(98)00032-8
[8]	Balmforth N J, Craster R V. Ocean waves and ice sheets[J].Journal of Fluid Mechanics,1999,395:89-124. doi: 10.1017/S0022112099005145
[9]	Tkacheva L A. Scattering of surface waves by the edge of a floating elastic plate[J].Journal of Applied Mechanics and Technical Physics,2001,42(4):638-649. doi: 10.1023/A:1019203814292
[10]	Tkacheva L A.Plane problem of surface wave diffraction on a floating elastic plate[J].Fluid Dynamics,2003,38(3):465-481. doi: 10.1023/A:1025106408548
[11]	胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1981.
[12]	胡嗣柱,倪光炯.数学物理方法[M].北京：高等教育出版社,1989,316-319.
[13]	Noble B.Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations[M].London: Pergamon Press, 1958.