Generalized chaotic synchronization for two-degree-of-freedom vibration isolation system with high-static-low-dynamic-stiffness

被引：0
作者：
Yang Q.-C. [1 ,2 ]
Chai K. [1 ]
Lou J.-J. [1 ]
Zhu S.-J. [1 ]
机构：
[1] College of Naval Architecture and Ocean, Naval University of Engineering, Wuhan
[2] Scientific Research and Academic Department, Naval University of Engineering, Wuhan
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2018年 / 31卷 / 04期
关键词：
Generalized chaotic synchronization; High-static-low-dynamic-stiffness; Open-plus-nonlinear-closed-loop; State feedback; Vibration isolation system;
D O I：
10.16385/j.cnki.issn.1004-4523.2018.04.009
中图分类号：
学科分类号：
摘要：
In order to cope with three obstacles, i.e. how to induce chaos with tiny control energy, how to maintain chaotic motion and how to obtain chaos under small amplitude of the chaotification technique for line spectra reduction in the power mechanical system of submarines, an state feedback and an open-plus-nonlinear-closed-loop(OPNCL) coupling generalized chaotic synchronization method are presented based on two-degree-of-freedom (2DOF) vibration isolation system (VIS) with high-static-low-dynamic-stiffness (HSLDS). Firstly, the dynamic equation of the 2DOF-HSLDS-VIS is established and its global characteristics in the whole phase space are analyzed; secondly, a method of generalized chaotic synchronization is employed by using the response of Chen system as driving signal and the Hooke & Jeeves optimization strategy is employed to optimize the control gain, which made the chaotic motion persistent in the 2DOF-HSLDS-VIS. Finally, a method of generalized chaotic synchronization under large parameter region and small amplitude in the 2DOF-HSLDS-VIS is presented by using an OPNCL coupling strategy. Numerical simulation results show that the state feedback generalized synchronization method can make the chaotic motion persistent and reduce the dominating line spectra in the 2DOF-HSLDS-VIS, but the amplitude of the isolated equipment is larger in the chaotic state than that of the former. While the OPNCL coupling generalized synchronization method can maintain chaotic motion and obtain chaos even under small amplitudes in the 2DOF-HSLDS-VIS.This method not only possesses an excellent isolation performance of vibration and line spectra, but also reduces the amplitude of the isolated equipment notably, which solves the contradiction of line spectra suppression and vibration isolation performance by using the generic chaotification method. © 2018, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
引用
收藏
页码：620 / 628
页数：8
相关论文
共 19 条
  • [1] Zhu S., Jiang R., He L., Research on the chaos vibration isolation of line spectra excitation, Journal of Naval University of Engineering, 15, 1, pp. 19-22, (2003)
  • [2] Lou J., Zhu S., He L., Et al., Application on the chaos method to line spectra reduction, Journal of Sound and Vibration, 286, 3, pp. 645-652, (2005)
  • [3] Yu X., Zhu S., Liu S., Bifurcation and chaos in multi-degree-of-freedom nonlinear vibration isolation system, Chaos, Solitons and Fractals, 38, 5, pp. 1498-1504, (2008)
  • [4] Lou J., Zhu S., He L., Et al., Experimental chaos in nonlinear vibration isolation system, Chaos, Solitons and Fractals, 40, 3, pp. 1367-1375, (2009)
  • [5] Liu S., Yu X., Zhu S., Study on the chaos anti-control technology in nonlinear vibration isolation system, Journal of Sound and Vibration, 310, 4, pp. 855-864, (2008)
  • [6] Zhang Z., Zhu S., He Q., Multi-line spectra reduction of vibration isolation system based chaotification method, Journal of Vibration Engineering, 25, 1, pp. 30-37, (2012)
  • [7] Lou J., He Q., Zhu S., Chaos in the softening Duffing system under multi-frequency periodic forces, Applied Mathematics and Mechanics, 25, 12, pp. 1299-1304, (2004)
  • [8] Yu X., Zhu S., Liu S., A new method for line spectra reduction similar to generalized synchronization of chaos, Journal of Sound and Vibration, 306, pp. 835-848, (2007)
  • [9] Ma Y., He M., Shen W., A planar shock isolation system with high-static-low-dynamic-stiffness characteristic based on cables, Journal of Sound and Vibration, 358, pp. 267-284, (2015)
  • [10] Xiuting S., Jian X., Xingjian J., Et al., Beneficial performance of a quasi-zero-stiffness vibration isolator with time-delay active control, International Journal of Mechanical Sciences, 82, pp. 32-40, (2014)
12