Chaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink

被引:35
|
作者
Li, Tao [1 ]
Lamarque, Claude-Henri [2 ]
Seguy, Sebastien [1 ]
Berlioz, Alain [1 ]
机构
[1] Univ Toulouse, ICA, CNRS INSA ISAE Mines Albi UPS, 3 Rue Caroline Aigle, F-31400 Toulouse, France
[2] Univ Lyon, LTDS UMR CNRS 5513, Ecole Natl Travaux Publ Etat, 3 Rue Maurice Audin, F-69518 Vaulx En Velin, France
关键词
Chaos; Lyapunov exponent; Vibro-impact; Nonlinear energy sink; Targeted energy transfer; Impact damper; LYAPUNOV EXPONENTS; FORCED SYSTEM; DYNAMICS; MAPS;
D O I
10.1007/s11071-017-4015-y
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The chaotic characteristic of a system with vibro-impact nonlinear energy sink is studied here. An analytical method is developed to calculate Lyapunov exponent. The mechanism by which impact results in chaos is further clarified rather than only by the calculation of Lyapunov exponent. In addition, an approach to identifying Lyapunov exponents from experimental data is proposed, and the estimated results are consistent with numerical results.
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页码:2319 / 2330
页数:12
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