Quenching Damping-Induced Instability

被引：0

作者：

Verhulst, Ferdinand ^{[1
]}

机构：

[1] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands

来源：

VIBRATION PROBLEMS ICOVP 2011 | 2011年 / 139卷

关键词：

Dissipation-induced instabilities; Whitney's umbrella; Brouwer's rotating vessel; Gyroscopic quenching;

D O I：

10.1007/978-94-007-2069-5_73

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The first complete analytic and geometrical explanation of destabilization of a conservative system by small dissipation was given by Bottema in 1956. We will discuss a simple-looking but generic model for a particle in an rotating vessel studied by L.E.J. Brouwer using averaging-normalization techniques with the purpose to quench such instabilities. Remarkably enough it turns out that for the rotating vessel both in the case of a rotating well and a rotating saddle, quenching is possible.

引用

页码：543 / 547

页数：5

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