Stability of singular periodic motions in a vibro-impact oscillator

被引：11

作者：

Janin, O ^{[1
]}

Lamarque, CH ^{[1
]}

机构：

[1] Ecole Natl Travaux Publ Etat, Lab Geomat, URA 1652, CNRS, F-69518 Vaulx En Velin, France

来源：

NONLINEAR DYNAMICS | 2002年 / 28卷 / 3-4期

关键词：

impact; Poincare map; stability;

D O I：

10.1023/A:1015632510298

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A single-degree-of-freedom vibro-impact oscillator is considered. For some values of parameters, a non-differentiable fixed point of the Poincare map exists: a local expansion of the Poincare map around such a point is given, including a square root term on the impact side. From this approximate map, the stability of the fixed point can be investigated, and it is shown that the periodic solution is stable when the Floquet multipliers are real.

引用

页码：231 / 241

页数：11

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