Line spectra chaotification of a 2DOF nonlinear vibration isolation system

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (16) : 180-187.

YANG Qingchao1,CHAI Kai2,FENG Shaowei2,LOU Jingjun2

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Abstract

Line spectra chaotification is the main method to improve the acoustic stealth of submarine, but it is difficult to achieve chaos under the variable working conditions and small amplitudes.At the same time, due to the coexistence of multi-stable attractors in the nonlinear vibration isolation system, the quality of chaos depends on initial conditions and systematic parameters.In this paper, the attractor migration control and the line spectra chaotification of two-degree-of- freedom (2DOF) nonlinear vibration isolation system have been studied by using the open-plus-nonlinear-closed-loop (OPNCL) method.Firstly, the dynamic equation of the 2DOF nonlinear vibration isolation system was established and its exhaustive bifurcation characteristics were analyzed.The regulations of global characteristics and coexistent attractors were obtained.Secondly, the OPNCL control was used to realize the migrations in different attractors, which could ensure that the system always working in the lowest line spectra intensity and the best overall vibration isolation performance.Finally, an OPNCL coupling method was used to achieve generalized chaotic synchronization between the drive system and the response system, which effectively obtained sustainable chaos even under the variable working conditions and small amplitudes.Simulation results show that the feasibility and validity of the OPNCL method, which achieves the dual goals of hiding line spectrum information and maintaining vibration isolation performance.

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open-plus-nonlinear-closed-loop(OPNCL) / nonlinear vibration isolation system / line spectra chaotification / attractor migration / generalized chaotic synchronization

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YANG Qingchao1,CHAI Kai2,FENG Shaowei2,LOU Jingjun2. Line spectra chaotification of a 2DOF nonlinear vibration isolation system[J]. Journal of Vibration and Shock, 2020, 39(16): 180-187

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