Results 191 to 200 of about 38,112 (227)
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Asymptotically pendulum-like motions of the hess-appel'rot gyroscope
Journal of Applied Mathematics and Mechanics, 1984Abstract Asymptotically pendulum-like motions of a heavy rigid body whose centre of gravity lies on the perpendicular to the circular cross-section of the gyration ellipsoid (the Hess-Appel'rot gyroscope) is investigated. Lyapunov's theorem is used to show that the initial position and initial angular velocity of this gyroscope can also be chosen ...
Varkhalev, Yu. P., Gorr, G. V.
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Relativistic motion of a gyroscope around the Moon
Il Nuovo Cimento B Series 11, 1975The general-relativistic effect on the motion of the axis of a free-falling gyroscope around the Moon has been calculated. The Lense-Thirring effect is not measurable. The main effect coming from Einstein’s theory and from other metric theories is measurable anda zero-measurement may be performed along equatorial orbits.
T. Mazeh, J. Katz
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An exceptional case of motion of the kovalevskaia gyroscope
Journal of Applied Mathematics and Mechanics, 1983zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Determining the Nonlinear Motion of MEMS Gyroscopes Using the Harmonic Balancing Method
Journal of Microelectromechanical Systems, 2021In this paper, the usability of the classical Harmonic Balancing method (cHB) to calculate the weakly nonlinear motion of phase- and amplitude controlled MEMS resonators is demonstrated. A polynomial mechanical stiffness description and linearized electrostatic effects are considered, which allow determining the Jacobian analytically.
Andreas Wagner +4 more
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Analysis of the gyroscope motion in the canonical variables Andoyer-Deprit
2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC), 2016The researches of movement of gyroscopes are still one of the main problems of the dynamics of a rigid body and its systems. It also has a major importance for applied problems of a space-flight mechanics. Now there is a research investigation of rotation of gyroscope in Hess' conditions.
Viktor Kyrychenko +1 more
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The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
International Applied Mechanics, 2000Here, new stability conditions are established for a spacecraft which is oriented with respect to the inertial space by a control system with three gyroscopic frames. The conditions of asymptotic stability are obtained by the method of matrix Lyapunov functions [\textit{A. A. Martynyuk}, Stability by Lyapunov's matrix function method with applications,
Martynyuk, A. A., Miladzhanov, V. G.
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Stability Analysis of the Motion of a Tuned Gyroscope
Transactions of the Canadian Society for Mechanical Engineering, 1988In this paper, we use the Liapunov direct method to study the stability of motion of the rotor of a single-gimbal, elastically supported tuned gyroscope with the input rate ø̇1 = ø̇2 = 0 in three cases: (1) rotor-gimbal damping coefficients D1 = D2 = 0, rotor winding coefficient Dw = 0; (2) D1 ≠ 0, D2 ≠ 0, Dw = 0; (3) D1 ≠ 0, D2 ≠0, Dw ≠ 0.
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The Influence of Coriolis Forces on Gyroscopic Motion of Spinning Blades
Journal of Engineering for Power, 1983Turbomachine blades on spinning and precessing rotors experience gyroscopically induced instabilities and forcing. With vehicle-mounted turbomachines, either constant or harmonic precession occurs, depending on vehicle or mount motion. Responses of uniform cantilever beams at arbitrary stagger, subjected to the noted rotor motion, are predicted in both
F. Sisto, A. Chang, M. Sutcu
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A Perturbation Solution of the Equations of Motion of a Gyroscope
Journal of Applied Mechanics, 1959Abstract A perturbation method of solution is outlined for the nonlinear equations of motion of free and forced vibration of a two-gimbal gyro. Results are given for the term displayed in the solution which indicates that the outer gimbal of the gyro will not oscillate about its initial center position, but will acquire a steady rate of ...
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Journal of Sound and Vibration, 2016
Abstract The synchronous in-unison motions in vibrational mechanics and the non-synchronous out-of-unison motions are the most frequently found periodic motions in every fields of science and everywhere in the universe. In contrast to the in-unison normal modes, the out-of-unison complex modes feature a π/2 phase difference.
Xiao-Dong Yang +4 more
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Abstract The synchronous in-unison motions in vibrational mechanics and the non-synchronous out-of-unison motions are the most frequently found periodic motions in every fields of science and everywhere in the universe. In contrast to the in-unison normal modes, the out-of-unison complex modes feature a π/2 phase difference.
Xiao-Dong Yang +4 more
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