On the Unstable Rolling Motions of Ships Resulting from Nonlinear Coupling with Pitch Including the Effect of Damping in Roll

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ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis On the Unstable Rolling Motions of Ships Resulting from Nonlinear Coupling with Pitch Including the Effect of Damping in Roll by : W. D. Kinney

Download or read book On the Unstable Rolling Motions of Ships Resulting from Nonlinear Coupling with Pitch Including the Effect of Damping in Roll written by W. D. Kinney and published by . This book was released on 1961 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Shock and Vibration Environment

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ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Shock and Vibration Environment by : Wendell L. Hercules

Download or read book Shock and Vibration Environment written by Wendell L. Hercules and published by . This book was released on 1962 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Twenty-First Symposium on Naval Hydrodynamics

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Publisher : National Academies Press
ISBN 13 : 0309058791
Total Pages : 1100 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Twenty-First Symposium on Naval Hydrodynamics by : National Research Council

Download or read book Twenty-First Symposium on Naval Hydrodynamics written by National Research Council and published by National Academies Press. This book was released on 1997-09-11 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ACR-203: Ninth Symposium: Naval Hydrodynamic Dynamics

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ISBN 13 :
Total Pages : 1140 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis ACR-203: Ninth Symposium: Naval Hydrodynamic Dynamics by : United States Naval Research Office

Download or read book ACR-203: Ninth Symposium: Naval Hydrodynamic Dynamics written by United States Naval Research Office and published by . This book was released on 1975 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Report

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ISBN 13 :
Total Pages : 952 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Report by : United States. National Bureau of Standards

Download or read book Report written by United States. National Bureau of Standards and published by . This book was released on 1963 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Naval Hydrodynamics

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ISBN 13 :
Total Pages : 1140 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Naval Hydrodynamics by :

Download or read book Naval Hydrodynamics written by and published by . This book was released on 1975 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Naval Hydrodynamics: Unconventional ships. Ocean engineering

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ISBN 13 :
Total Pages : 1142 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Naval Hydrodynamics: Unconventional ships. Ocean engineering by :

Download or read book Naval Hydrodynamics: Unconventional ships. Ocean engineering written by and published by . This book was released on 1975 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Nonlinear Mechanics and Physics

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Publisher : Springer
ISBN 13 : 9811394636
Total Pages : 312 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Topics in Nonlinear Mechanics and Physics by : Mohamed Belhaq

Download or read book Topics in Nonlinear Mechanics and Physics written by Mohamed Belhaq and published by Springer. This book was released on 2019-08-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a selection of contributions from the 4th International Conference on Structural Nonlinear Dynamics and Diagnostics, reflecting diverse aspects of nonlinear and complex dynamics. Fifteen chapters discuss the latest findings and applications in active research areas in nonlinear mechanics and physics. These includes the dynamics of ships with liquid sloshing interaction, dynamics of drops and bubbles, nonlinear drying processes, suppression of time-delayed induced vibrations, dynamics of robotic systems, chaos detection in rolling element, dynamics of a planetary gear system with faults, vibro-impact systems, complex fractional moments for nonlinear systems, oscillations under hysteretic conditions, as well as topics in nonlinear energy harvesting and control.

NBS Special Publication

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ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1962 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hydraulic Research in the United States

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ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Hydraulic Research in the United States by :

Download or read book Hydraulic Research in the United States written by and published by . This book was released on 1963 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Hydraulic Laboratory Research in the United States

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ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Current Hydraulic Laboratory Research in the United States by :

Download or read book Current Hydraulic Laboratory Research in the United States written by and published by . This book was released on 1963 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

U.S. Government Research Reports

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ISBN 13 :
Total Pages : 1166 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis U.S. Government Research Reports by :

Download or read book U.S. Government Research Reports written by and published by . This book was released on 1962 with total page 1166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Normal Modes of Nonlinear Coupled Ship Motions and Their Stability

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ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis On the Normal Modes of Nonlinear Coupled Ship Motions and Their Stability by : W. D. Kinney

Download or read book On the Normal Modes of Nonlinear Coupled Ship Motions and Their Stability written by W. D. Kinney and published by . This book was released on 1962 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Miscellaneous Publication - National Bureau of Standards

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ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Miscellaneous Publication - National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Miscellaneous Publication - National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1934 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Analysis of the Nonlinear Static Coupling Terms in Heave, Pitch, and Roll for Several Hull Forms

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis The Analysis of the Nonlinear Static Coupling Terms in Heave, Pitch, and Roll for Several Hull Forms by : W. D. Kinney

Download or read book The Analysis of the Nonlinear Static Coupling Terms in Heave, Pitch, and Roll for Several Hull Forms written by W. D. Kinney and published by . This book was released on 1961 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Vibrations

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ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Vibrations by : R. A. Ibrahim

Download or read book Nonlinear Vibrations written by R. A. Ibrahim and published by . This book was released on 1993 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Effect of Pitching on the Stability of the Rolling Motion of Ships

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ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis The Effect of Pitching on the Stability of the Rolling Motion of Ships by : William Douglas Kinney

Download or read book The Effect of Pitching on the Stability of the Rolling Motion of Ships written by William Douglas Kinney and published by . This book was released on 1961 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: