Skip to main content
SpringerLink
Log in

Active Vibration Isolation Via Nonlinear Velocity Time-Delayed Feedback

  • Conference paper
  • First Online:
Transactions on Engineering Technologies

Abstract

This paper combines cubic nonlinearity and time delay to improve the performance of vibration isolation. By the multi-scale perturbation method, the average autonomous equations are first found to analyse local stability. Then with the purpose of obtaining the desirable vibration isolation performance, stability conditions are obtained to find appropriate the feedback parameters including gain and time delay. Last, the influence of the feedback parameters on vibration transmissibility is assessed. Results show that the strategy developed in this paper is practicable and feedback parameters are significant factors to alter dynamics behaviours, and more importantly, to improve the isolation effectiveness for the bilinear isolation system.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. S.N. Mahmoodi, M. Ahmadian, Modified acceleration feedback for active vibration control of aerospace structures. Smart Mater. Struct. 19(6), 065015(10 pp.) (2010)

    Google Scholar 

  2. Q. Hu, G. Ma. Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver. Aerosp. Sci. Technol. 9(4), 307–317 (2005)

    Google Scholar 

  3. H. Ma, G.Y. Tang, Y.D. Zhao, Feed forward and feedback optimal control for offshore structures subjected to irregular wave forces. J. Sound Vib. 33(8–9), 1105–1117 (2006)

    Google Scholar 

  4. Z.Q. Lang, X.J. Jing, S.A. Billings et al., Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems. J. Sound Vib. 323(1–2), 352–365 (2009)

    Google Scholar 

  5. S.J. Elliott, M. Serrand, P. Gardonio, Feedback stability limits for active isolation system with reactive and inertial actuators. J. Vib. Acoust. 123(2), 250–261 (2001)

    Google Scholar 

  6. S.R. Will, M.R. Kidner, B.S. Cazzolato et al., Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation. J. Sound Vib. 326(1–2), 88–103 (2009)

    Google Scholar 

  7. Y. Liu, T.P. Waters, M.J. Brennan, A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances. J. Sound Vib. 280(1–2), 21–39 (2005)

    Google Scholar 

  8. M. Ahmadian, X. Song, S.C. Southward, No-Jerk skyhook control methods for semiactive suspensions. J. Vib. Acoust. 126(4), 580–584 (2004)

    Google Scholar 

  9. Y.M. Wang, Research on characteristics of on-off control for semi-active suspensions of vehicle. Chin. J. Mech. Eng. 38(6), 148–151 (2002)

    Google Scholar 

  10. M.S. Ali, Z.K. Hou, M.N. Noori, Stability and performance of feedback control systems with time delays. Comput. Struct. 66(2–3), 241–248 (1998)

    Google Scholar 

  11. A. Maccari, Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback. Int. J. Non-Linear Mech. 38(1), 123–131 (2003)

    Google Scholar 

  12. A. Maccari, The response of a parametrically excited Van der Pol oscillator to a time delay state feedback. Nonlinear Dyn. 26(2), 105–119 (2001)

    Google Scholar 

  13. N. Eslaminasab, M.F. Golnaraghi, The Effect of Time Delay of the Semi-Active Dampers of On–Off Control Schemes. ASME 2007 International Mechanical Engineering Congress and Exposition, Seattle, USA

    Google Scholar 

  14. H. Hu, E.H. Dowell, L.N. Virgin, Resonances of a harmonically forced duffing oscillator with time delay state feedback. Nonlinear Dyn. 15(4), 311–327 (1998)

    Google Scholar 

  15. Y. Zhao, J. Xu, Mechanism analysis of delayed nonlinear vibration absorber, Chin. J. Theor. Appl. Mech. 40(1), 98–106 (2008)

    Google Scholar 

  16. N. Nayfeh, W. Baumann, Nonlinear analysis of time-delay position feedback control of container cranes. Nonlinear Dyn. 53(1), 75–88 (2008)

    Google Scholar 

  17. X. Gao, Q. Chen, H.D. Teng, Modelling and dynamics properties of a novel solid and liquid mixture vibration isolator. J. Sound Vib. 331(16), 3695–3709 (2012)

    Google Scholar 

  18. X. Gao, Q. Chen, Frequency response and jump avoidance of a vibration isolator with solid and liquid mixture. J. Vib. Shock 32(12), 150–153 (2013)

    Google Scholar 

  19. X. Gao, Q. Chen, Active vibration control for a bilinear system with nonlinear velocity time-delayed feedback, in Lecture Notes in Engineering and Computer Science: Proceedings of the World Congress on Engineering 2013, London, UK, 3–5 July 2013, pp. 2037–2042

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, No. 29 Yudao Street, Nanjing, 210016, China

    Xue Gao & Qian Chen

Authors
  1. Xue Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qian Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qian Chen .

Editor information

Editors and Affiliations

  1. Department of Multimedia Engineering, College of Engineering, Mokpo National University, Mokpo, Jeonnam, Korea, Republic of (South Korea)

    Gi-Chul Yang

  2. Unit 1, 1/F IAENG Secretariat, International Association of Engine, Hong Kong, Hong Kong SAR

    Sio-Iong Ao

  3. Department of Applied Mathematics and Computing, Cranfield University, Cranfield, Bedfordshire, United Kingdom

    Len Gelman

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Gao, X., Chen, Q. (2014). Active Vibration Isolation Via Nonlinear Velocity Time-Delayed Feedback. In: Yang, GC., Ao, SI., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8832-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-8832-8_6

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8831-1

  • Online ISBN: 978-94-017-8832-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation