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Nonlinear dynamics of a submerged floating moored structure by incremental harmonic balance method with FFT
Lu W(陆维); Ge F(葛斐); Wu XD(武晓东); Hong YS(洪友士); Ge, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China.
Source PublicationMARINE STRUCTURES
2013-04
Volume31Pages:63-81
ISSN0951-8339
AbstractA submerged floating moored structure has a great potential in ocean engineering applications. The nonlinear dynamics of a submerged floating moored structure subjected to vertical excitation with possible slackness in the mooing system are investigated by incremental harmonic balance (IHB) method. Heaviside step function is introduced to describe the nonlinearity in axial stiffness arising from loss of mooring tension. The dimensionless governing equation is derived, and three parameters, frequency ratio eta, damping ratio zeta and dimensionless net buoyancy W, are found to be independent. Due to the fact that the restoring force term is function of the unknown displacement and could barely be expressed in an explicit form of time, a fast Fourier transformation (FFT) is implemented in IHB method to simplify the Galerkin average procedure. Both stable and unstable solutions and both period-1 and bifurcated solutions are obtained by IHB method. The stability of the periodic solutions is investigated by Floquet theory. Parameter study is carried out. Results indicate that the system nonlinearity becomes stronger as dimensionless the net buoyancy Wand damping ratio zeta decrease. A path to chaotic motions though a series of period doubling bifurcations is found. Multiple solutions are observed, and the domains of attraction are investigated by interpolated cell mapping (ICM) technique.
KeywordSubmerged Floating Moored Structure Nonlinear Dynamics Incremental Harmonic Balance Chaotic Motion Period Doubling Bifurcation Domains Of Attraction
Subject Area一般力学
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000317379800005
Funding OrganizationNational Natural Science Foundation of China [10532070, 10772178]; Chinese Academy of Sciences [KJCX2-YW-L07]
DepartmentLNM金属材料微结构与力学性能
Classification一类
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47238
Collection非线性力学国家重点实验室
Corresponding AuthorGe, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Lu W,Ge F,Wu XD,et al. Nonlinear dynamics of a submerged floating moored structure by incremental harmonic balance method with FFT[J]. MARINE STRUCTURES,2013,31:63-81.
APA 陆维,葛斐,武晓东,洪友士,&Ge, F .(2013).Nonlinear dynamics of a submerged floating moored structure by incremental harmonic balance method with FFT.MARINE STRUCTURES,31,63-81.
MLA 陆维,et al."Nonlinear dynamics of a submerged floating moored structure by incremental harmonic balance method with FFT".MARINE STRUCTURES 31(2013):63-81.
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