Chaotification for a mechanical vibration system

Zhao Qiu-ling · Journal of Beijing Information Science & Technology University · 2011

According to the nature of chaos,the mechanical system under period excitation is guided to a chaotic system by a traditional control method.After the dynamic equation is changed to a dimensionless one,it tracks a kind of Duffing system when a controller is added.The control parameter is selected according to Melnikov criterion.The numerical simulations show the effects of the method both at the resonance frequency and at the maximum frequency.The chaotification of the vibration system is realized within a certain range of frequency,Comparison shows if the chaotification control method is not used,the output amplitude of vibration could be about 60 times of that had been used.So the method is useful for avoiding resonance.

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