Numerical Study on the Spectrum Control Based on the Chaos Synchronization Technology

Abstract:

The response spectrum of the nonlinear vibration isolation system under harmonic excitation is a continuous one when chaos occurs. This feature is utilized to eliminate or reduce the line spectrum in the radiated noise of the marine vessel. A nonlinear feedback controller was designed with the active control synchronization technology, and the projective chaos synchronization (PCS) was realized with different chaotic driving system. Simulation results show that the spectrum can be attenuated greatly through changing the ratio factor.

• Periodical: Advanced Materials Research (Volumes 503-504)
• Pages: 1065-1069
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.503-504.1065
• Online since: April 2012
• Authors: Yong Liu, Jiong Sun, Jing Jun Lou
• Keywords: Carrier, Finite Element Method (FEM), Shield Machine, Strength

References

[1] M.J. Day, R.J. Randall, C.P. Ratcliffe. Reducing the vibration caused by a marine diesel generator set. Porc Instan Mech Engrs, 1993. 207(2): 375~381.

[2] Hodge P D, Manning R A. Force level data fusion for the underwater battle space[C]．Proceeding of Underwater Defence Technology Conference and Exhibition 2001．Hamburg．2001：2A-2.

[3] Lou Jingjun, Zhu Shijian, He Lin, Yu Xiang. Application of Chaos Method to Line Spectra Reduction[J]. Journal of Sound and Vibration. 2005, 286(3): 645-652.

DOI: 10.1016/j.jsv.2004.12.018

[4] Lou Jingjun, Zhu Shijian, He Lin. Application of Chaos Method in Vibration Isolation. Journal of Ship Mechanics. 2006, 10(5): 135-141.

[5] Guilin W, Yuanzhi L, Zhiyong Zhang. Line spectra reduction and vibration isolation via modified projective synchronization for acoustic stealth of submarines[J]. Journal of Sound and Vibration, 2009, 324 : 954–961.

DOI: 10.1016/j.jsv.2009.02.049

[6] Pecora L M, Carroll T C． Synchronization in chaotic system[J] ． Phys Rev Lett, 1990, 64(8)：821-824.

DOI: 10.1103/physrevlett.64.821

[7] Wang C C, Su J P．A new adaptive structure control for chaotic synchronization and secure communication[J]．Chaos, Solitons and Fractals, 2004, 20：967-977.

DOI: 10.1016/j.chaos.2003.10.026

[8] Kawata J, Nishio Y, Dedieu H．A Ushida, Performance comparison of communication systems using chaos synchronization[J]．IEICE Transactions on Fundamentals of Electronics, 1999, 82-A：1322–1328.

DOI: 10.1109/iscas.1998.704012

[9] Rulkov N F, Sushchik M M, L S Tsimring．Generalized synchronization of chaos in directionally coupled chaotic systems[J]． Phys． Rev． E, 1992, 51(2)：980-994.

DOI: 10.1103/physreve.51.980

[10] Li Guo Hui．Generalized projective synchronization between Lorenz system and Chens system[J]．Chaos, Solitons and Fractals, 2007, 32：1454-1458.

DOI: 10.1016/j.chaos.2005.11.073