Chaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink
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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.
KeywordsChaos Lyapunov exponent Vibro-impact Nonlinear energy sink Targeted energy transfer Impact damper
The authors acknowledge the French Ministry of Science and the Chinese Scholarship Council under Grant No. 20130449 0063 for their financial support.