Results 181 to 190 of about 9,689 (229)

On the motion within fluid gyroscopes

2nd Aerospace Sciences Meeting, 1965
The 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 ...
openaire   +1 more source

Resolution analysis of gyroscopic motion

American Journal of Physics, 1994
Two 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
openaire   +1 more source

An exceptional case of motion of the kovalevskaia gyroscope

Journal of Applied Mathematics and Mechanics, 1983
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Perturbation Solution of the Equations of Motion of a Gyroscope

Journal of Applied Mechanics, 1959
Abstract 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

Periodic motions of gyroscopic systems

Journal of Applied Mathematics and Mechanics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Voronin, A. A., Sazonov, V. V.
openaire   +1 more source

Relativistic gyroscopic motion and aberration

Physical Review D, 1976
A 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.
openaire   +1 more source

Towards an understanding of gyroscopic motion

Physics Education, 1968
Common treatments of gyroscopic motion in textbooks at the student level tend to be difficult to follow physically although trivial mathematically, and sometimes simplify matters to the point of actually giving an incorrect description of the motion of a gyroscope when under the influence of an external torque.
openaire   +1 more source

Conservative Motion of Tops and Gyroscopes

1997
Rigid body motion is of fundamental interest in mathematics, science and engineering. In this chapter we will introduce a simplistic approach to this area of study in the spirit of modern molecular mechanics. We will consider first a discrete tetrahedral body and simulate its motion when it spins like a top whose contact point with the XY plane is ...
openaire   +1 more source

The Motion of a Gyroscope Mounted in Gimbals

2000
Equations 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

Gyroscopic Perpetual Motion Machine

The construction of a perpetual motion machine has remained an unfulfilled objective in the mechanical and physical sciences community. Despite numerous attempts over the centuries, none has achieved success. At present, such machines are considered impossible as they appear to contradict the principle of energy conservation, a fundamental pillar for ...
openaire   +1 more source