Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2016, Article ID 5039796, 15 pages
http://dx.doi.org/10.1155/2016/5039796
Research Article

Dynamical Performances of a Vibration Absorber for Continuous Structure considering Time-Delay Coupling

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Received 20 November 2015; Accepted 15 June 2016

Academic Editor: Ivo Caliò

Copyright © 2016 Xiuting Sun and Youshuo Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. Du, R. A. Burdisso, and E. Nikolaidis, “Control of internal resonances in vibration isolators using passive and hybrid dynamic vibration absorbers,” Journal of Sound and Vibration, vol. 286, no. 4-5, pp. 697–727, 2005. View at Publisher · View at Google Scholar · View at Scopus
  2. H. L. Sun, P. Q. Zhang, H. B. Chen, K. Zhang, and X. L. Gong, “Application of dynamic vibration absorbers in structural vibration control under multi-frequency harmonic excitations,” Applied Acoustics, vol. 69, no. 12, pp. 1361–1367, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. T. Mizuno, M. Moriya, and K. Araki, “Robust disturbance cancellation in an active dynamic vibration absorber system,” Control Engineering Practice, vol. 3, no. 6, pp. 773–781, 1995. View at Publisher · View at Google Scholar · View at Scopus
  4. S. Chatterjee, “Optimal active absorber with internal state feedback for controlling resonant and transient vibration,” Journal of Sound and Vibration, vol. 329, no. 26, pp. 5397–5414, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. S.-M. Kim, S. Y. Wang, and M. J. Brennan, “Optimal and robust modal control of a flexible structure using an active dynamic vibration absorber,” Smart Materials and Structures, vol. 20, no. 4, Article ID 045003, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. N. D. Anh, H. Matsuhisa, L. D. Viet, and M. Yasuda, “Vibration control of an inverted pendulum type structure by passive mass-spring-pendulum dynamic vibration absorber,” Journal of Sound and Vibration, vol. 307, no. 1-2, pp. 187–201, 2007. View at Publisher · View at Google Scholar · View at Scopus
  7. M. Sayed and M. Kamel, “1:2 and 1:3 internal resonance active absorber for non-linear vibrating system,” Applied Mathematical Modelling, vol. 36, no. 1, pp. 310–332, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. W. O. Wong and Y. L. Cheung, “Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion,” Engineering Structures, vol. 30, no. 1, pp. 282–286, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. D. H. Kim, J. W. Park, G. S. Lee, and K. I. Lee, “Active impact control system design with a hydraulic damper,” Journal of Sound and Vibration, vol. 250, no. 3, pp. 485–501, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Natsiavas, “Steady state oscillations and stability of non-linear dynamic vibration absorbers,” Journal of Sound and Vibration, vol. 156, no. 2, pp. 227–245, 1992. View at Publisher · View at Google Scholar · View at Scopus
  11. S.-J. Huang, K.-S. Huang, and K.-C. Chiou, “Development and application of a novel radial basis function sliding mode controller,” Mechatronics, vol. 13, no. 4, pp. 313–329, 2003. View at Publisher · View at Google Scholar · View at Scopus
  12. T. Kobori, H. Kanayama, and S. Kamagata, “Active seismic response control systems for nuclear power plant equipment facilities,” Nuclear Engineering and Design, vol. 111, no. 3, pp. 351–356, 1989. View at Publisher · View at Google Scholar · View at Scopus
  13. J. Xu and K. W. Chung, “Effects of time delayed position feedback on a van der Pol-Duffing oscillator,” Physica D, vol. 180, no. 1-2, pp. 17–39, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. Y. Sun and J. Xu, “Experiments and analysis for a controlled mechanical absorber considering delay effect,” Journal of Sound and Vibration, vol. 339, pp. 25–37, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. N. Olgac and B. T. Holm-Hansen, “A novel active vibration absorption technique: delayed resonator,” Journal of Sound and Vibration, vol. 176, no. 1, pp. 93–104, 1994. View at Publisher · View at Google Scholar · View at Scopus
  16. N. Olgae and B. Holm-Hansen, “Design considerations for delayed-resonator vibration absorbers,” Journal of Engineering Mechanics, vol. 121, no. 1, pp. 80–89, 1995. View at Publisher · View at Google Scholar · View at Scopus
  17. N. Olgac and M. Hosek, “Active vibration absorption using delayed resonator with relative position measurement,” Journal of Vibration and Acoustics, vol. 119, no. 1, pp. 131–136, 1997. View at Publisher · View at Google Scholar · View at Scopus
  18. Y.-Y. Zhao and J. Xu, “Effects of delayed feedback control on nonlinear vibration absorber system,” Journal of Sound and Vibration, vol. 308, no. 1-2, pp. 212–230, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. L. Chen, C. H. Hansen, F. He, and K. Sammut, “Active nonlinear vibration absorber design for flexible structures,” International Journal of Acoustics and Vibrations, vol. 12, no. 2, pp. 51–59, 2007. View at Google Scholar · View at Scopus
  20. L. Chen, F. He, and K. Sammut, “Vibration suppression of a principal parametric resonance,” Journal of Vibration and Control, vol. 15, no. 3, pp. 439–463, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. K. A. Alhazza and M. A. Majeed, “Free vibrations control of a cantilever beam using combined time delay feedback,” Journal of Vibration and Control, vol. 18, no. 5, pp. 609–621, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. C. T. Chatzigogos, A. Pecker, and J. Salençon, “Macroelement modeling of shallow foundations,” Soil Dynamics and Earthquake Engineering, vol. 29, no. 5, pp. 765–781, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. A. Abe, Y. Kobayashi, and G. Yamada, “Nonlinear dynamic behaviors of clamped laminated shallow shells with one-to-one internal resonance,” Journal of Sound and Vibration, vol. 304, no. 3-5, pp. 957–968, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. J. V. Ferreira, Dynamics response analysis of structures with nonlinear components [Ph.D. thesis], Department of Mechanical Engineering, Imperial College, London, UK, 1998.
  25. A. Raghothama and S. Narayanan, “Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method,” Journal of Sound and Vibration, vol. 226, no. 3, pp. 469–492, 1999. View at Publisher · View at Google Scholar · View at Scopus
  26. L. Xu, M. W. Lu, and Q. J. Cao, “Nonlinear vibrations of dynamical systems with a general form of piecewise-linear viscous damping by incremental harmonic balance method,” Physics Letters. A, vol. 301, no. 1-2, pp. 65–73, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. J. Xu, K.-W. Chung, and C.-L. Chan, “An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks,” SIAM Journal on Applied Dynamical Systems, vol. 6, no. 1, pp. 29–60, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  28. J. Xu and K. W. Chung, “A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems,” Science in China, Series E: Technological Sciences, vol. 52, no. 3, pp. 698–708, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. S. L. Das and A. Chatterjee, “Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations,” Nonlinear Dynamics, vol. 30, no. 4, pp. 323–335, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus