The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension

被引：0

作者：

Bardin, BS

Markeyev, AP

机构：

来源：

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 1995年 / 59卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The motion of a pendulum, the point of suspension of which is subject to vertical harmonic oscillations of arbitrary frequency and amplitude, is considered. A complete rigorous solution of the non-linear problem of the stability of the relative positions of equilibrium of the pendulum along the vertical is given.

引用

页码：879 / 886

页数：8

共 50 条

[31] NOTES ON PENDULUM WITH OSCILLATING SUSPENSION POINT
TROGER, H
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (04): : 68 - 69
[32] Responses of the controlled inverted pendulum to vertical oscillations
Institute of Industrial Science, University of Tokyo, JSPS Research Fellow, 4-6-1 Komaba, Meguro-ku, Tokyo, 153-8505, Japan
Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, 2008, 74 (08): : 2009 - 2014
[33] Parametric Resonance of a Charged Pendulum with a Suspension Point Oscillating Between Two Vertical Charged Lines
Carvalho, Adecarlos C.
Araujo, Gerson C.
REGULAR & CHAOTIC DYNAMICS, 2023, 28 (03): : 321 - 331
[34] Parametric Resonance of a Charged Pendulum with a Suspension Point Oscillating Between Two Vertical Charged Lines
Adecarlos C. Carvalho
Gerson C. Araujo
Regular and Chaotic Dynamics, 2023, 28 : 321 - 331
[35] On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point
Sremr, Jiri
APPLICATIONS OF MATHEMATICS, 2025, 70 (01) : 11 - 45
[36] OSCILLATIONS IN SUSPENSION BRIDGES, VERTICAL AND TORSIONAL
McKenna, P. J.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2014, 7 (04): : 785 - 791
[37] On the motions of a double pendulum with vibrating suspension point
O. V. Kholostova
Mechanics of Solids, 2009, 44 : 184 - 197
[38] EFFICIENCY OF THE PENDULUM DAMPER WITH A MOBILE SUSPENSION POINT
Legeza, V. P.
STRENGTH OF MATERIALS, 2022, 54 (02) : 222 - 232
[39] Efficiency of the Pendulum Damper with a Mobile Suspension Point
V. P. Legeza
Strength of Materials, 2022, 54 : 222 - 232
[40] On the small vibrations of a pendulum with oscillating suspension point
Erdelyi, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1936, 16 : 171 - 182

← 1 2 3 4 5 →