Results 201 to 210 of about 178,761,244 (246)
Some of the next articles are maybe not open access.
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
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
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.
openaire +1 more source
Towards an understanding of gyroscopic motion
Physics Education, 1968Common 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
1997Rigid 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
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
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
On motion of kowalewski's gyroscope
Journal of Applied Mathematics and Mechanics, 1964openaire +2 more sources