Harmonic Homotopy Technique to Resonance Response of a Ship Rolls Model

Zhong Jin Guo; Dan Sun; Xiao Yan Ma

doi:10.4028/www.scientific.net/AMR.838-841.2231

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 838-841Harmonic Homotopy Technique to Resonance Response...

Harmonic Homotopy Technique to Resonance Response of a Ship Rolls Model

Abstract:

The paper presents a harmonic homotopy technique to investigate the steady state resonance response of a ship rolls model. By means of polynomial homotopy continuation, all the possible solutions corresponding to the second-order superharmonic response are derived analytically, i.e. without numerical integration. The stabilities of the solutions are determined by the Floquet theory. The sharp resonance and influence of dc component of input wave excitation of ship rolls model are observed analytically and examined by numerical solutions. Furthermore, the gains of the bias, first and second harmonic terms of stable solutions are illustrated to show the importance of each harmonic component on resonance response.

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Periodical:

Advanced Materials Research (Volumes 838-841)

Pages:

2231-2235

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.838-841.2231

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Online since:

November 2013

Authors:

Zhong Jin Guo*, Dan Sun, Xiao Yan Ma

Keywords:

Harmonic Homotopy Technique, Resonance Response, Saddle-Node Bifurcation, Ship Rolls Model

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