𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The dynamics of a Lagrange top with a vibrating suspension point

✍ Scribed by O.V. Kholostova


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
687 KB
Volume
63
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The stability of a β€œsleeping” lagrange f
✍ O.V. Kholostova πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 591 KB

The motion of a Lagrange top, the suspension point of which performs vertical harmonic oscillations of arbitrary frequency and amplitude, is considered. The particular motion where the top rotates about a vertically positioned axis of symmetry at a constant angular velocity (a "sleeping" top) is inv

The dynamics of a spherical pendulum wit
✍ A.P. Markeyev πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 436 KB

The motion of a spherical pendulum whose point of suspension performs high-frequency vertical harmonic oscillations of small amplitude is investigated. It is shown that two types of motion of the pendulum exist when it performs high-frequency oscillations close to conical motions, for which the pend

The stability of an inverted pendulum wi
✍ A.A. Seyranian; A.P. Seyranian πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 246 KB

The problem of stabilizing the upper vertical (inverted) position of a pendulum using vibration of the suspension point is considered. The periodic function describing the vibrations of the suspension point is assumed to be arbitrary but possessing small amplitudes, and slight viscous damping is tak

The equations of the approximate theory
✍ A.P. Markeyev πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 418 KB

The motion of a rigid body in a uniform gravity field is investigated. One of the points of the body (the suspension point) performs specified small-amplitude high-frequency periodic or conditionally periodic oscillations (vibrations). The geometry of the body mass is arbitrary. An approximate syste

The dynamics of repeated impacts with a
✍ P.J. Holmes πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 1007 KB

A deceptively simple difference equation is derived which approximately describes the motion of a small ball bouncing vertically on a massive sinusoidally vibrating plate. In the case of perfect elastic impacts, the equation reduces to the "standard mapping" which has been extensively studied by phy