Results 181 to 190 of about 38,306 (235)
Some of the next articles are maybe not open access.
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.
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +2 more sources
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.
openaire +1 more source
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
openaire +1 more source
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 ...
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
The Application of Quaternion Algebra to Gyroscopic Motion, Navigation, and Guidance
45th AIAA Aerospace Sciences Meeting and Exhibit, 2005Currently, many six degree of freedom (6-DOF) trajectory simulations and simulations of gyroscopic motion use quaternions to define a vehicle’s orientation. Of those that do, however, none take full advantage of the properties of quaternion algebra. Quaternions are also known as hypercomplex numbers.
George Davailus, Brett Newman
openaire +1 more source
The Motion of a Gyroscope Mounted in Gimbals
2000Equations of motion of an astatic gyroscope mounted in gimbals in presence of a viscous friction in the gimbals axes have the form [33] $$\left[ {{A_2} + (A + {A_1}){{\cos }^2}\beta + {C_1}} \right]\frac{{{d^2}\alpha }}{{d{T^2}}} + ({C_1} - A - {A_1})\sin (2\beta )\frac{{d\alpha }}{{dT}}\frac{{d\beta }}{{dT}} + H\cos \beta \frac{{d\beta }}{{dT}} + {
openaire +1 more source