Active Control of Nonlinear Vibration Absorber Based on Synovial Algorithm

Abstract:

In this paper, the dynamic characteristics of Duffing strong nonlinear vibration absorber system with additional hard spring is analysed qualitatively. Based on synovial variable structure algorithm, the active control system model of the nonlinear dynamic vibration absorber is designed, and the effectiveness of the control model is verified by elevant examples. It’s found that with the additional hard spring Duffing strong nonlinear vibration absorber, the control effect of active absorption is superior to the passive absorber, so which has has important guiding significance to the design of actual engineering nonlinear vibration absorber.

• Periodical: Applied Mechanics and Materials (Volumes 278-280)
• Pages: 72-78
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.278-280.72
• Online since: January 2013
• Authors: Zhi Xing Li, Li Hua Yang, Qing Chao Yang
• Keywords: Nonlinearity, Synovial Variable Structure Active Control, Vibration Absorber

References

[1] O. Gendelman, L.I. Manevitch, A.F. Vakakis, R.M. Closkey: Energy pumping in nonlinear mechanical oscillators: part I—dynamics of the underlying hamiltonian systems . Journal of Applied Mechanics, VOL. 68, (2001).

DOI: 10.1115/1.1345524

[2] A.F. Vakakis, O. Gendelman: Energy pumping in nonlinear mechanical oscillators: part II— resonance capture. Journal of Applied Mechanics, VOL. 68, (2001).

DOI: 10.1115/1.1345525

[3] O.V. Gendelman, Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators . Nonlinear Dynamics, VOL. 25, (2001).

DOI: 10.1007/978-94-017-2452-4_13

[4] O. Gendelman, L.I. Manevitch, A.F. Vakakis, L. Bergman: A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities. Nonlinear Dynamics VOL. 33, (2003).

DOI: 10.1023/a:1025515112708

[5] Zhu S. J. , Zheng Y. F. , Fu Y. M. Ana lysis o f nonlinear dynamic of a two degree o f freedom vibration system with non linear damping and non linear spr ing[ J]. Journa l of Sound and V ibration, 2004, 271: 15 -24.

DOI: 10.1016/s0022-460x(03)00249-9

[6] Wen Ming, Deng Z C. the research of the dynamic response of three-order nonlinear vibration isolation of active and passive control[J]. the journal of mechanic and technology, 2000, 19( 9) : 80- 83.

[7] Chen J, F., Chen Y S. semi-active control of nonlinear dynamic absorption[ J]. the journal of noise and vibration, 2006, 6: 1-4.

[8] Li, Z , X, Lou J J, Yang Q C, etc. the property of dynamic nonlinear absorber. [J]. The journal of University of science and technology of Wuhan . 2012, 5(34): 965-968.

[9] Jin Q. the research of control of synovial structure[D]. Dalian. the university of Dalian science and technology 2005.

[10] Yao Q H, Huang J Q, Wu H S. The control system of synovial structure[M]. Chongqing: the press of Chongqing university, 1997.