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On The Unstable Rolling Motions Of Ships Resulting From Nonlinear Coupling With Pitch Including The Effect Of Damping In Roll
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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).
Book Synopsis Instability of Ship Motions in Longitudinal Waves Resulting from Nonlinear Coupling by : C. S. HSU
Download or read book Instability of Ship Motions in Longitudinal Waves Resulting from Nonlinear Coupling written by C. S. HSU and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation was made of the effect of certain nonlinear coupling terms on the heave-pitchroll motions of a ship moving in longitudinal waves (either head or following waves). Linear damping terms were retained in the analysis because when forced ship motions under wave excitation are studied, the damping terms are essential elements of the problem. The analysis for the heave-pitch-roll system showed the existence of a type of instability such that the responses in pitch or roll may grow without bound even when the effect of damping was taken into account because of nonlinear coupling between heave and pitch and between heave and roll. This is in contrast to the results obtained from the linear theory in which, because of the presence of damping, all the responses are finite. (Author).
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:
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:
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:
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:
Book Synopsis Instability of Ship Motions in Logitudinal Waves Resulting from Nonlinear Coupling by : Jixiu Xu
Download or read book Instability of Ship Motions in Logitudinal Waves Resulting from Nonlinear Coupling written by Jixiu Xu and published by . This book was released on 1961 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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:
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:
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).
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 309 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.
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:
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 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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 1961 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydraulic Research in the United States by : United States. National Bureau of Standards
Download or read book Hydraulic Research in the United States written by United States. National Bureau of Standards and published by . This book was released on 1962 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
