On stability of relative equilibria of a double pendulum with vibrating suspension point

被引：0
|
作者：
O. V. Kholostova
机构：
[1] Moscow Aviation Institute (State University of Aerospace Technologies),
来源：
Mechanics of Solids | 2011年 / 46卷
关键词：
double pendulum; relative equilibrium; Mathieu equation; stability resonance;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the motions of a double pendulum consisting of two hinged identical rods. The pendulum suspension point is assumed to perform harmonic vibrations of arbitrary frequency and arbitrary amplitude in the vertical direction. We carry out a complete nonlinear analysis of the stability of the four pendulum relative equilibria on the vertical.
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页码：508 / 518
页数：10
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