On Local Analysis of Oscillations of a Non-ideal and Non-linear Mechanical Model

被引：0
|
作者：
Márcio José Horta Dantas
José Manoel Balthazar
机构：
[1] UFU,Faculdade de Matemática
[2] Instituto de Geociências e Ciências Exatas,Departamento de Estatística, Matemática Aplicada e Computação
来源：
Meccanica | 2004年 / 39卷
关键词：
Center manifold; Stability; Bifurcation; Non-ideal problems; Non-linear oscillations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is of major importance to consider non-ideal energy sources in engineering problems. They act on an oscillating system and at the same time experience a reciprocal action from the system. Here, a non-ideal system is studied. In this system, the interaction between source energy and motion is accomplished through a special kind of friction. Results about the stability and instability of the equilibrium point of this system are obtained. Moreover, its bifurcation curves are determined. Hopf bifurcations are found in the set of parameters of the oscillating system.
引用
收藏
页码：313 / 330
页数：17
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