On the Normal Modes of Nonlinear Coupled Ship Motions and Their Stability PDF Download
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Author: W. D. Kinney
Publisher:
ISBN:
Category : Ships
Languages : en
Pages : 68
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The concept of normal oscillations of a nonlinear conservative system is introduced and applied to the ship motion problem. In addition the stability of these normal modes is investigated and found to depend in general on the same parameters given in previous investigations. Since the normal oscillations represent a combined motion in the degrees of freedom concerned, an unstable mode does not necessarily imply unbounded motion in any one of the degrees of freedom. Since the system is assumed to be conservative, all displacements are necessarily finite. A knowledge of those straight normal modes which are stable is important since it is reasonable to conclude that the motion of ships in calm water will take place near those normal modes. In the absence of damping, the system is conservative, and hence the total energy of the system is a constant. This implies that all displacements and velocities must be finite. Because damping is always present, the system must ultimately reach a stable equilibrium position since energy is constantly dissipated from the system. (Author).
Author: W. D. Kinney
Publisher:
ISBN:
Category : Ships
Languages : en
Pages : 68
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Book Description
The concept of normal oscillations of a nonlinear conservative system is introduced and applied to the ship motion problem. In addition the stability of these normal modes is investigated and found to depend in general on the same parameters given in previous investigations. Since the normal oscillations represent a combined motion in the degrees of freedom concerned, an unstable mode does not necessarily imply unbounded motion in any one of the degrees of freedom. Since the system is assumed to be conservative, all displacements are necessarily finite. A knowledge of those straight normal modes which are stable is important since it is reasonable to conclude that the motion of ships in calm water will take place near those normal modes. In the absence of damping, the system is conservative, and hence the total energy of the system is a constant. This implies that all displacements and velocities must be finite. Because damping is always present, the system must ultimately reach a stable equilibrium position since energy is constantly dissipated from the system. (Author).
Author: Jixiu Xu
Publisher:
ISBN:
Category : Couplings
Languages : en
Pages : 52
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1572
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![Nonlinear Coupling of Pitch and Roll Modes in Ship Motions [by] Ali Hasan Nayfeh, Dean T. Mook and Larry R. Marshall PDF](https://books.google.com/books/content/images/frontcover/YNEGcgAACAAJ?fife=w80-h100)
Author: Ali Hasan Nayfeh
Publisher:
ISBN:
Category : Ships
Languages : en
Pages : 46
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 262
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Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 952
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Author: W. D. Kinney
Publisher:
ISBN:
Category : Ships
Languages : en
Pages : 66
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Book Description
The equations of motion for a ship pitching and rolling in a calm sea were found to be coupled by means of a second order term in the rolling equation of motion. When the pitching motion is simple harmonic the equation of motion in roll is of the Mathieu type, the two independent parameters being pitching amplitude and frequency. The stability diagram of the Mathieu equation including the effect of linear damping is determined theoretically and verified by solving the Mathieu equation on an analogue computer. In experiments with one ship model form, it was found that the transition from stable to unstable motion occurred for the value of the parameters predicted by the theory, and that the rolling motions obtained experimentally closely resembled the computer solutions. It was concluded that (1) unstable rolling motions are possible for very small pitching amplitudes, (2) when the natural frequency of pitch is twice that of roll the amplitude required to produce unstable motion is a minimum, and (3) for any pitching frequency, the greater the amount of damping, the greater the amplitude of pitching must become to produce unstable rolling motions. (Author).
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309065372
Category : Science
Languages : en
Pages : 1039
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The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.
Author: Ali Hasan Nayfeh
Publisher:
ISBN:
Category : Ships
Languages : en
Pages : 40
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Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 234
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