Dynamics and stability of a two degree of freedom oscillator with an elastic stop

被引：28
|
作者：
Pascal, Madeleine [1 ,2 ]
机构：
[1] Univ Evry Val Essonne, Lab Syst Complexes, F-91020 Evry, France
[2] CNRS, FRE 2494, F-91020 Evry, France
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2006年 / 1卷 / 01期
关键词：
nonlinear vibrations; two degree of freedom oscillator; rigid and soft impact; periodic motion; stability; forced and unforced system;
D O I：
10.1115/1.1961873
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A two degree of freedom oscillator with a colliding component is considered. The dint of the study is to investigate the dynamic behavior of the system when the stiffness obstacle changes to a finite value to an infinite one. Several cases are. considered. First, in the case of rigid impact and without external excitation, a family of periodic solutions are,found in analytical form. In the case of soft impact, with a finite time duration of the shock, and no external excitation, the existence of periodic solutions, with an arbitrary value of the period, is proved. Periodic: motions are also obtained when the system is submitted to harmonic excitation, in both cases of rigid or soft impact. The stability of these periodic motions is investigated for these four cases.
引用
收藏
页码：94 / 102
页数：9
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