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Shock and Vibration
Volume 2015 (2015), Article ID 589507, 8 pages
http://dx.doi.org/10.1155/2015/589507
Research Article

Vibration Response and Power Flow Characteristics of a Flexible Manipulator with a Moving Base

School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China

Received 9 May 2014; Revised 12 November 2014; Accepted 11 December 2014

Academic Editor: Didier Rémond

Copyright © 2015 Yufei Liu et al. 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. S. S. Ge, T. H. Lee, and G. Zhu, “Asymptotically stable end-point regulation of a flexible SCARA/Cartesian robot,” IEEE/ASME Transactions on Mechatronics, vol. 3, no. 2, pp. 138–144, 1998. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Dadfarnia, N. Jalili, Z. Liu, and D. M. Dawson, “An observer-based piezoelectric control of flexible Cartesian robot arms: theory and experiment,” Control Engineering Practice, vol. 12, no. 8, pp. 1041–1053, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. S. K. Dwivedy and P. Eberhard, “Dynamic analysis of flexible manipulators, a literature review,” Mechanism and Machine Theory, vol. 41, no. 7, pp. 749–777, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. Z.-C. Qiu, “Adaptive nonlinear vibration control of a Cartesian flexible manipulator driven by a ballscrew mechanism,” Mechanical Systems and Signal Processing, vol. 30, pp. 248–266, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. M. A. Neto, J. A. Ambrósio, L. M. Roseiro, A. Amaro, and C. M. Vasques, “Active vibration control of spatial flexible multibody systems,” Multibody System Dynamics, vol. 30, no. 1, pp. 13–35, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. S. S. Ge, T. H. Lee, and J. Q. Gong, “A robust distributed controller of a single-link SCARA/Cartesian smart materials robot,” Mechatronics, vol. 9, no. 1, pp. 65–93, 1999. View at Publisher · View at Google Scholar · View at Scopus
  7. M. Dadfarnla, N. Jalili, B. Xian, and D. M. Dawson, “A lyapunov-based piezoelectric controller for flexible cartesian robot manipulators,” Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, vol. 126, no. 2, pp. 347–358, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. C. M. A. Vasques and J. Dias Rodrigues, “Active vibration control of smart piezoelectric beams: comparison of classical and optimal feedback control strategies,” Computers and Structures, vol. 84, no. 22-23, pp. 1402–1414, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. K. Gurses, B. J. Buckham, and E. J. Park, “Vibration control of a single-link flexible manipulator using an array of fiber optic curvature sensors and PZT actuators,” Mechatronics, vol. 19, no. 2, pp. 167–177, 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. W. Chen, “Dynamic modeling of multi-link flexible robotic manipulators,” Computers & Structures, vol. 79, no. 2, pp. 183–195, 2001. View at Publisher · View at Google Scholar · View at Scopus
  11. J. B. Yang, L. J. Jiang, and D. C. Chen, “Dynamic modelling and control of a rotating Euler-Bernoulli beam,” Journal of Sound and Vibration, vol. 274, no. 3–5, pp. 863–875, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. K. Wei, G. Meng, S. Zhou, and J. Liu, “Vibration control of variable speed/acceleration rotating beams using smart materials,” Journal of Sound and Vibration, vol. 298, no. 4-5, pp. 1150–1158, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Li, G. Cai, Q. Huang, and S. Liu, “Analysis of nonlinear vibration of a motor-linkage mechanism system with composite links,” Journal of Sound and Vibration, vol. 311, no. 3–5, pp. 924–940, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. F. W. Liou, A. G. Erdman, and C. S. Lin, “Dynamic analysis of a motor-gear-mechanism system,” Mechanism and Machine Theory, vol. 26, no. 3, pp. 239–252, 1991. View at Publisher · View at Google Scholar · View at Scopus
  15. U. Andreaus and P. Casini, “Dynamics of friction oscillators excited by a moving base and/or driving force,” Journal of Sound and Vibration, vol. 245, no. 4, pp. 685–699, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, Wiley, Victoria, Canada, 1995.
  17. H. Yabuno and A. H. Nayfeh, “Nonlinear normal modes of a parametrically excited cantilever beam,” Nonlinear Dynamics, vol. 25, no. 1–3, pp. 65–77, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. B. Pratiher and S. K. Dwivedy, “Non-linear dynamics of a flexible single link Cartesian manipulator,” International Journal of Non-Linear Mechanics, vol. 42, no. 9, pp. 1062–1073, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. X. Xue, G. Li, Y. Xiong, and J. Gong, “Power flow response based dynamic topology optimization of bi-material plate structures,” Chinese Journal of Mechanical Engineering, vol. 26, no. 3, pp. 620–628, 2013. View at Publisher · View at Google Scholar · View at Scopus
  20. Y. P. Xiong, J. T. Xing, and W. G. Price, “A general linear mathematical model of power flow analysis and control for integrated structure-control systems,” Journal of Sound and Vibration, vol. 267, no. 2, pp. 301–334, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. D. U. Noiseux, “Measurement of power flow in uniform beams and plates,” The Journal of the Acoustical Society of America, vol. 47, no. 1, pp. 238–247, 1970. View at Publisher · View at Google Scholar · View at Scopus
  22. H. G. D. Goyder and R. G. White, “Vibrational power flow from machines into built-up structures, part I: introduction and approximate analyses of beam and plate-like foundations,” Journal of Sound and Vibration, vol. 68, no. 1, pp. 59–75, 1980. View at Publisher · View at Google Scholar · View at Scopus
  23. T. Y. Li, T. Zhang, J. X. Liu, and W. H. Zhang, “Vibrational wave analysis of infinite damaged beams using structure-borne power flow,” Applied Acoustics, vol. 65, no. 1, pp. 91–100, 2004. View at Publisher · View at Google Scholar · View at Scopus
  24. J. M. Cuschieri, “Structural power-flow analysis using a mobility approach of an L-shaped plate,” Journal of the Acoustical Society of America, vol. 87, no. 3, pp. 1159–1165, 1990. View at Publisher · View at Google Scholar · View at Scopus
  25. J. Yan, T. Y. Li, J. X. Liu, and X. Zhu, “Input power flow in a submerged infinite cylindrical shell with doubly periodic supports,” Applied Acoustics, vol. 69, no. 8, pp. 681–690, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. G. P. Feng, Z. Y. Zhang, Y. Chen, and H. X. Hua, “Research on transmission paths of a coupled beam-cylindrical shell system by power flow analysis,” Journal of Mechanical Science and Technology, vol. 23, no. 8, pp. 2138–2148, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. Y. P. Xiong, J. T. Xing, and W. G. Price, “Power flow analysis of complex coupled systems by progressive approaches,” Journal of Sound and Vibration, vol. 239, no. 2, pp. 275–295, 2001. View at Publisher · View at Google Scholar · View at Scopus
  28. W. J. Choi, Y. P. Xiong, and R. A. Shenoi, “Power flow analysis for a floating sandwich raft isolation system using a higher-order theory,” Journal of Sound and Vibration, vol. 319, no. 1-2, pp. 228–246, 2009. View at Publisher · View at Google Scholar · View at Scopus
  29. X. Ma, G. Jin, and Z. Liu, “Active structural acoustic control of an elastic cylindrical shell coupled to a two-stage vibration isolation system,” International Journal of Mechanical Sciences, vol. 79, pp. 182–194, 2014. View at Publisher · View at Google Scholar · View at Scopus
  30. S. R. Singiresu, Mechanical Vibration, Pearson Education, 4th edition, 2004.
  31. S. O. R. Moheimani and A. J. Fleming, Fundamentals of Piezoelectricity. Piezoelectric Transducers for Vibration Control and Damping, Springer, London, UK, 2006.
  32. X. Q. Wang, W. O. Wong, and L. Cheng, “Modal power flow with application to damage detection,” International Journal of Engineering Science, vol. 47, no. 4, pp. 512–523, 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. S. J. Walsh and R. G. White, “Measurement of vibrational power transmission in curved beams,” Journal of Sound and Vibration, vol. 241, no. 2, pp. 157–183, 2001. View at Publisher · View at Google Scholar · View at Scopus
  34. S. X. Wang, Z. Jiang, and Z. W. Zhu, “A new method for measuring power flow of one-dimensional vibrating structure,” Journal of Vibrationengineering, vol. 16, no. 3, pp. 368–372, 2003. View at Google Scholar