Nonlinear normal modes in homogeneous system with time delays

被引:0
作者
O. V. Gendelman
机构
[1] Technion—Israel Institute of Technology,Faculty of Mechanical Engineering
来源
Nonlinear Dynamics | 2008年 / 52卷
关键词
Nonlinear normal modes; Time-delay systems;
D O I
暂无
中图分类号
学科分类号
摘要
Periodic synchronous regimes of motion are investigated in symmetric homogeneous system of coupled essentially nonlinear oscillators with time delays. Such regimes are similar to nonlinear normal modes (NNMs), known for corresponding conservative system without delays, and can be found analytically. Unlikely the conservative counterpart, the system possesses “oval” modes with constant phase shift between the oscillators, in addition to symmetric/antisymmetric and localized regimes of motion. Numeric simulation demonstrates that the “oval” modes may be attractors of the phase flow. These attractors are particular case of phase-locked solutions, rather ubiquitous in the system under investigation.
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页码:367 / 376
页数:9
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