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Stability Analysis of the Motion of a Tuned Gyroscope
Transactions of the Canadian Society for Mechanical Engineering, 1988 In 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.
Zheng-Ming Ge
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Journal of Applied Mechanics, 1953
Abstract After a brief review of the fundamental kinetic equations of gyroscope motion, the following topics are considered: (a) The erection of an electrically driven gyroscope when an electrical torque is applied. (b) The effect of inequality of the principal moments of inertia normal to the spin axis, on gyroscope motion.
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Abstract After a brief review of the fundamental kinetic equations of gyroscope motion, the following topics are considered: (a) The erection of an electrically driven gyroscope when an electrical torque is applied. (b) The effect of inequality of the principal moments of inertia normal to the spin axis, on gyroscope motion.
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Resolution analysis of gyroscopic motion
American Journal of Physics, 1994Two ideas, one kinematic and one dynamic, provide new insight into some of the amazing aspects of gyroscopic motion. The dynamic idea is to resolve the motion of the gyroscope in every short time interval as a superposition of its torque-free motion and its torque-induced motion. The kinematic idea is to directly track the motion of the symmetry axis.
Harry Soodak, Martin S. Tiersten
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Control moment gyroscope for swing motion control
2015 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2015The analysis of movements has been applied to various fields. However, they are typically only in the form of visual or analytical data from a motion analyzer. Users are unable to feel these types of analysis directly on their bodies. In some fields, such as sports and rehabilitation, it is more efficient to feel a motion than to see the image or ...
Takahiro Mori +3 more
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On the motion within fluid gyroscopes
2nd Aerospace Sciences Meeting, 1965The response of a sink flow through a cylindrical chamber to harmonic oscillations or impulsive rotations of the chamber is investigated. It is assumed that 1) the vector of rotation is along the chamber axis, 2) the motion of the chamber is transmitted to the incoming flow, 3) the chamber's diameter is large compared to its height, and 4) the ...
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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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Periodic motions of gyroscopic systems
Journal of Applied Mathematics and Mechanics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Voronin, A. A., Sazonov, V. V.
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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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Relativistic gyroscopic motion and aberration
Physical Review D, 1976A new generally covariant method to calculate the motion of the axis of an orbiting gyroscope, with respect to the direction of fixed stars, is presented. The method includes general-relativistic aberration effects and gives frame-independent results which can be compared directly with the proposed NASA gyroscope experiment.
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Gyroscopic Motion: Show Me the Forces!
The Physics Teacher, 2014Gyroscopes are frequently used in physics lecture demonstrations and in laboratory activities to teach students about rotational dynamics, namely, angular momentum and torque. Use of these powerful concepts makes it difficult for students to fully comprehend the mechanism that keeps the gyroscope from falling under the force of gravity. The analysis of
Harvey Kaplan, Andrew Hirsch
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