Dynamics of a linear system coupled to a chain of light nonlinear oscillators analyzed through a continuous approximation

被引：4
|
作者：
Charlemagne, S. [1 ]
Savadkoohi, A. Ture [1 ]
Lamarque, C-H [1 ]
机构：
[1] Univ Lyon, Ecole Cent Lyon, ENISE, ENTPE,CNRS,Lab Tribol & Dynam Syst LTDS UMR5513, F-69518 Vaulx En Velin, France
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2018年 / 374卷
关键词：
Nonlinear chain; Continuous approach; Vibratory energy; Time multi-scales method; Passive control; TARGETED ENERGY-TRANSFER; RESONANCE CAPTURE; MECHANICAL OSCILLATORS; VIBRATION ABSORBER; ATTACHMENTS; MODE;
D O I：
10.1016/j.physd.2018.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The continuous approximation is used in this work to describe the dynamics of a nonlinear chain of light oscillators coupled to a linear main system. A general methodology is applied to an example where the chain has local nonlinear restoring forces. The slow invariant manifold is detected at fast time scale. At slow time scale, equilibrium and singular points are sought around this manifold in order to predict periodic regimes and strongly modulated responses of the system. Analytical predictions are in good accordance with numerical results and represent a potent tool for designing nonlinear chains for passive control purposes. (C) 2018 Elsevier B.V. All rights reserved.
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收藏
页码：10 / 20
页数：11
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