Journal ArticleDOI
Subharmonic oscillations in nonlinear rolling
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TLDR
In this paper, the authors examined the rolling motion of a ship with particular regard to the possibility of obtaining oscillations which are subharmonic to the excitation frequency, and three different mechanisms were found to be responsible for this phenomenon, the importance of which has already been recognized in the context of ship stability.About:
This article is published in Ocean Engineering.The article was published on 1984-01-01. It has received 6 citations till now. The article focuses on the topics: Ship motions & Ship stability.read more
Citations
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Journal ArticleDOI
Capsize criteria for ship models with memory-dependent hydrodynamics and random excitation
TL;DR: In this article, the large-amplitude rolling and capsize dynamics of vessels in random beam seas were investigated using a nonlinear single-degree-of-freedom model.
Journal ArticleDOI
Nonlinear dynamics of a $$\varvec{\phi ^6}-$$ ϕ 6 - modified Duffing oscillator: resonant oscillations and transition to chaos
TL;DR: In this article, the nonlinear dynamics of a hybrid Rayleigh-Van der Pol-Duffing oscillator including pure and impure quadratic damping are investigated, and the multiple timescales method is used to study exhaustively various resonances states.
Journal ArticleDOI
Stability and complicated rolling responses of ships in regular beam seas
A.H. Nayfeh,N.E. Sanchez +1 more
TL;DR: In this article, an analytical procedure for predicting the stability and complicated responses of a vessel rolling in regular seas is presented, where the relative wave slope and encounter frequency can be changed alternately and bifurcation diagrams are generated to show the regions of the parameter space where instabilities and degradations in seaworthiness occur.
Journal Article
Roll dynamics of a ro-ro ship
TL;DR: In this article, the authors investigated the effect of different representation of restoring moment on roll motion and found that the effect depends on the characteristics of the GZ curve and the wave steepness.
Dissertation
Nonlinear Response and Stability Analysis of Vessel Rolling Motion in Random Waves Using Stochastic Dynamical Systems
TL;DR: Su et al. as discussed by the authors studied the stability of vessel rolling motion with strongly nonlinear softening stiffness using the methods of stochastic dynamical systems and developed an automatic cumulant neglect tool to predict the response of the high dimensional dynamical system with higher order neglect.
References
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Book
Nonlinear oscillations in physical systems
TL;DR: The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions as mentioned in this paper.
Book
Nonlinear Vibrations in Mechanical and Electrical Systems
TL;DR: In this article, the authors studied the stability of nonlinear oscillations with nonlinear restoring forces free oscillations and nonlinear self-sustained oscillations using the Hill's equation.
Journal ArticleDOI
Nonlinear coupling of pitch and roll modes in ship motions
TL;DR: In this paper, an analysis is presented for the nonlinear coupling of the pitch and roll modes of ship motions in regular seas when their frequencies are in the ratio of two to one.