Skip to main content
SpringerLink
Log in

Active vibration control based on modal controller considering structure-actuator interaction

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Active vibration control to suppress structural vibration of the flexible structure is investigated based on a new control strategy considering structure-actuator interaction. The experimental system consists of a clamped-free rectangular plate, a controller based on modal control switching, and a magnetostrictive actuator utilized for suppressing the vibrations induced by external excitation. For the flexible structure, its deformation caused by the external actuator will affect the active control effect. Thus interaction between structure and actuator is considered, and the interaction model based on magnetomechanical coupling is incorporated into the control system. Vibration reduction strategy has been performed resorting to the actuator in optimal position to suppress the specified modes using LQR (linear quadratic regulator) based on modal control switching. The experimental results demonstrate the effectiveness of the proposed methodology. Considering structure-actuator interaction (SAI) is a key procedure in controller design especially for flexible structures.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Benassi, S. J. Elliott and P. Gardonio, Active vibration isolation using an inertial actuator with local force feedback control, Journal of Sound and Vibration, 276 (2004) 157–179.

    Article  Google Scholar 

  2. I. Maciejewski and T. Krzyzynski, Method of selecting vibro-isolation properties of vibration reduction systems, Journal of Mechanical Science and Technology, 30 (4) (2016) 1497–1505.

    Article  Google Scholar 

  3. S. B. Choi, Alleviation of chattering in flexible beam control via piezofilm actuator and sensor, AIAA J., 33 (1995) 564–567.

    Article  Google Scholar 

  4. S. C. Mou, Structure design and stepping characteristics analysis of the biaxial piezoelectric actuator stage using a thin-disc piezoelectric actuator, Advances in Mechanical Engineering (2014) 1–16.

    Google Scholar 

  5. S. J. Moon et al., Structural vibration control using linear magnetostrictive actuators, Journal of Sound and Vibration, 302 (2007) 875–891.

    Article  Google Scholar 

  6. Z. Butt et al., Generation of electrical energy using lead zirconate titanate (PZT-5A) piezoelectric material: Analytical, numerical and experimental verification, Journal of Mechanical Science and Technology, 30 (8) (2016) 3553–3558.

    Article  Google Scholar 

  7. A. G. Olabi and A. Grunwald, Design and application of magnetostrictive materials, Materials and Design, 22 (2008) 469–483.

    Article  Google Scholar 

  8. T. Zhang et al., Giant magnetostrictive actuators for active vibration control, Smart Material and Structures, 13 (2004) 473–477.

    Article  Google Scholar 

  9. F. Braghin, S. Cinquemani and F. Resta, A model of magnetostrictive actuators for active vibration control, Sensors and Actuators A: Physical, 165 (2011) 342–350.

    Article  Google Scholar 

  10. F. Braghin, S. Cinquemani and F. Resta, A low frequency magnetostrictive inertial actuator for vibration control, Sensors and Actuators A: Physical, 180 (2012) 67–74.

    Article  Google Scholar 

  11. H. M. Zhou, X. J. Zheng and Y. H. Zhou, Active vibration control of nonlinear giant magnetostrictive actuators, Smart Materials and Structures, 15 (2006) 792–798.

    Article  Google Scholar 

  12. M. J. Dapino et al., A coupled magnetomechanical model for magnetostrictive transducers and its application to Villari-effect sensors, Journal of Intelligent Material Systems and Structures, 13 (11) (2002) 737–747.

    Article  Google Scholar 

  13. S. Valadkhan, K. Morris and A. Khajepour, Review and comparison of hysteresis models for magnetostrictive materials, Journal of Intelligent Material Systems and Structures, 20 (2) (2009) 131–142.

    Article  Google Scholar 

  14. M. J. Dapino et al., A coupled structural-magnetic strain and stress model for magnetostrictive transducers, Journal of Intelligent Material Systems and Structures, 11 (2000) 135–151.

    Article  Google Scholar 

  15. M. J. Dapino, R. C. Smith and A. B. Flatau, Structuralmagnetic strain model for magnetostrictive transducers, IEEE Transactions on Magnetics, 36 (3) (2000) 545–556.

    Article  Google Scholar 

  16. J. P. Lien et al., Modeling piezoelectric actuators with hysteretic recurrent neural networks, Sensors and Actuators A, 163 (2) (2010) 516–525.

    Article  Google Scholar 

  17. W. S. Oates and R. C. Smith, Nonlinear optimal control techniques for vibration attenuation using magnetostrictive actuators, Journal of lntelligent Material Systems and Structures, 19 (2) (2008) 193–209.

    Article  Google Scholar 

  18. M. A. Janaideh, S. Rakheja and C. Y. Su, A generalized Prandtl-Ishlinskii model for characterizing the hysteresis and saturation non linearities of smart actuators, Smart Materials and Structures, 18 (4) (2009) 1–9.

    Article  Google Scholar 

  19. J. Mao and H. Ding, Intelligent modeling and control for nonlinear systems with rate-dependent hysteresis, Science in China, 52 (4) (2009) 656–673.

    Article  MATH  Google Scholar 

  20. X. Chen, T. Hisayama and C. Y. Su, Pseudo-inverse-based adaptive control for uncertain discrete time systems preceded by hysteresis, Automatica, 45 (2) (2009) 469–476.

    Article  MathSciNet  MATH  Google Scholar 

  21. P. Liu, Z. Zhang and J. Q. Mao, Modeling and control for giant magnetostrictive actuator with rate-dependent hysteresis, Journal of Applied Mathematics (2013) 1–8.

    Google Scholar 

  22. O. Aljanaideh, S. Rakheja and C. Y. Su, Experimental characterization and modeling of rate-dependent asymmetric hysteresis of magnetostrictive actuators, Smart Materials and Structures, 23 (2014) 1–12.

    Article  Google Scholar 

  23. J. Liu, J. H. Liu and S. J. Dyke, Control-structure interaction for micro-vibration structural control, Smart Materials and Structures, Doi: https://doi.org/10.1088/0964-1726/21/10/105021.

Download references

Author information

Authors and Affiliations

  1. Institute of Wind Tunnel Engineering Technology, China Academy of Aerospace Aerodynamics, Beijing, 100074, China

    Jinjun Jiang, Weijin Gao & Zhaohua Teng

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    Liang Wang & Yongguang Liu

Authors
  1. Jinjun Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Weijin Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Liang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhaohua Teng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yongguang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Weijin Gao.

Additional information

Recommended by Associate Editor Gyuhae Park

Jinjun Jiang received the B.E., M.E. degrees in Mechanical Engineering and automatization from Hebei Engineering University in 2006 and 2009. From 2017 to 2018 he has been to New York University as a visiting scholar in Mechanical Engineering and Complex Network Control. Since 2009, he has been an engineer and researcher in China Aerospace Aerodynamics Academy. He is the author of more than 10 articles and holds more than 10 inventions patents. His research mainly focuses on mechatronics Control Technology, Complex Network, Industry Robot Control, Vibration Control Technology robotic structure and control, and human-machine system.

Weijin Gao received the Ph.D. in mechatronics engineering from Beihang University. Since 2016, he has been an engineer and researcher in China Aerospace Aerodynamics Academy. His research interests include dynamic topology optimization and active vibration control. He is the author of ten articles and holds three inventions patents.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, J., Gao, W., Wang, L. et al. Active vibration control based on modal controller considering structure-actuator interaction. J Mech Sci Technol 32, 3515–3521 (2018). https://doi.org/10.1007/s12206-018-0702-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-018-0702-y

Keywords

Search

Navigation