Internal motion of the complex oscillators near main resonance

被引：1

作者：

Jan Awrejcewicz ^{[1
]}

Roman Starosta ^{[2
]}

机构：

[1] Department of Automation and Biomechanics,Technical University of L'odz,Stefanowskiego St.1/15,Lo'dz 90-924,Poland

[2] Institute of Applied Mechanics,Poznan University of Technology,Poznan 60-965,Poland

来源：

Theoretical & Applied Mechanics Letters | 2012年 / 2 卷 / 04期

关键词：

nonlinear dynamics; multiple scale method; complex oscillator; internal motion;

D O I：

暂无

中图分类号：

O322 [非线性振动];

学科分类号：

080101 ;

摘要：

An analytical study of the two degrees of freedom nonlinear dynamical system is presented.The internal motion of the system is separated and described by one fourth order differential equation.An approximate approach allows reducing the problem to the Duffing equation with adequate initial conditions.A novel idea for an effective study of nonlinear dynamical systems consisting in a concept of the socalled limiting phase trajectories is applied.Both qualitative and quantitative complex analyses have been performed.Important nonlinear dynamical transition type phenomena are detected and discussed.In particular,nonsteady forced system vibrations are investigated analytically.

引用

页码：23 / 26

页数：4

共 5 条

[1] A. Okninski,J. Kyziol. Machine Dynamics Problems . 2005
[2] Limiting phase trajectories and energy exchange between anharmonic oscillator and external force
Manevitch, Leonid I.
Musienko, Andrey I.
[J]. NONLINEAR DYNAMICS, 2009, 58 (04) : 633 - 642
[3] Introduction to Perturbation Methods. A. H. Nayfeh. . 1981
[4] Bifurcations and Chaos in Coupled Oscillators. J. Awrejcewicz. . 1991
[5] Nonlinear Dynamics of Discrete Systems in Asymptotic Approach-Selected Problems. R. Starosta. . 2011

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