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Shock and Vibration
Volume 2015, Article ID 541057, 10 pages
http://dx.doi.org/10.1155/2015/541057
Research Article

Dynamic Model and Vibration Power Flow of a Rigid-Flexible Coupling and Harmonic-Disturbance Exciting System for Flexible Robotic Manipulator with Elastic Joints

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

Received 21 July 2015; Revised 1 November 2015; Accepted 9 November 2015

Academic Editor: Alba Sofi

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. 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
  2. H. N. Rahimi and M. Nazemizadeh, “Dynamic analysis and intelligent control techniques for flexible manipulators: a review,” Advanced Robotics, vol. 28, no. 2, pp. 63–76, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. S. Bruno and K. Oussama, Springer Handbook of Robotics, Springer, London, UK, 2008.
  4. F. Xi and R. G. Fenton, “Coupling effect of a flexible link and a flexible joint,” The International Journal of Robotics Research, vol. 13, no. 5, pp. 443–453, 1994. View at Publisher · View at Google Scholar · View at Scopus
  5. B. Subudhi and A. S. Morris, “Dynamic modelling, simulation and control of a manipulator with flexible links and joints,” Robotics and Autonomous Systems, vol. 41, no. 4, pp. 257–270, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. 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
  7. Y. Wang and R. L. Huston, “A lumped parameter method in the nonlinear analysis of flexible multibody systems,” Computers & Structures, vol. 50, no. 3, pp. 421–432, 1994. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. J. Qian and D. G. Zhang, “Impact dynamics of multi-link robots with link and joint flexibility,” Applied Mechanics and Materials, vol. 226–228, pp. 685–692, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. Y. F. Liu, W. Li, X. F. Yang, M. B. Fan, Y. Q. Wang, and E. Lu, “Vibration response and power flow characteristics of a flexible manipulator with a moving base,” Shock and Vibration, vol. 2015, Article ID 589507, 8 pages, 2015. View at Publisher · View at Google Scholar
  10. 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
  11. 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
  12. 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, vol. 126, no. 2, pp. 347–358, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. K. X. Wei, G. Meng, S. Zhou, and J. W. 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
  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. H. S. Yan, M. C. Tsai, and M. H. Hsu, “An experimental study of the effects of cam speeds on cam-follower systems,” Mechanism and Machine Theory, vol. 31, no. 4, pp. 397–412, 1996. View at Publisher · View at Google Scholar · View at Scopus
  17. R.-C. Soong, “A new design method for single DOF mechanical presses with variable speeds and length-adjustable driving links,” Mechanism and Machine Theory, vol. 45, no. 3, pp. 496–510, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  18. I. F. Thor and N. Henk, Parametric Resonance in Dynamical Systems, Springer, New York, NY, USA, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  19. Z. H. Feng and H. Y. Hu, “Principal parametric and three-to-one internal resonances of flexible beams undergoing a large linear motion,” Acta Mechanica Sinica, vol. 19, no. 4, pp. 355–364, 2003. View at Publisher · View at Google Scholar · View at Scopus
  20. L.-Q. Chen and X.-D. Yang, “Stability in parametric resonance of axially moving viscoelastic beams with time-dependent speed,” Journal of Sound and Vibration, vol. 284, no. 3–5, pp. 879–891, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. X.-D. Yang and L.-Q. Chen, “Stability in parametric resonance of axially accelerating beams constituted by Boltzmann's superposition principle,” Journal of Sound and Vibration, vol. 289, no. 1-2, pp. 54–65, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Ding and L. Q. Chen, “Nonlinear dynamics of axially accelerating viscoelastic beams based on differential quadrature,” Acta Mechanica Solida Sinica, vol. 22, no. 3, pp. 267–275, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. S.-B. Li and W. Zhang, “Global bifurcations and multi-pulse chaotic dynamics of rectangular thin plate with one-to-one internal resonance,” Applied Mathematics and Mechanics, vol. 33, no. 9, pp. 1115–1128, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. M. H. Yao and W. Zhang, “Multi-pulse chaotic motions of high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate,” Meccanica, vol. 49, no. 2, pp. 365–392, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. Z. H. Wang, J. T. Xing, and W. G. Price, “An investigation of power flow characteristics of L-shaped plates adopting a substructure approach,” Journal of Sound and Vibration, vol. 250, no. 4, pp. 627–648, 2002. View at Publisher · View at Google Scholar · View at Scopus
  31. 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
  32. X. L. Ma, G. Y. Jin, and Z. G. 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
  33. H.-J. Lee and K.-J. Kim, “Multi-dimensional vibration power flow analysis of compressor system mounted in outdoor unit of an air conditioner,” Journal of Sound and Vibration, vol. 272, no. 3-5, pp. 607–625, 2004. View at Publisher · View at Google Scholar · View at Scopus
  34. P. Coulier, G. Lombaert, and G. Degrande, “The influence of source-receiver interaction on the numerical prediction of railway induced vibrations,” Journal of Sound and Vibration, vol. 333, no. 12, pp. 2520–2538, 2014. View at Publisher · View at Google Scholar · View at Scopus
  35. M. F. M. Hussein and H. E. M. Hunt, “A power flow method for evaluating vibration from underground railways,” Journal of Sound and Vibration, vol. 293, no. 3-5, pp. 667–679, 2006. View at Publisher · View at Google Scholar · View at Scopus
  36. S. R. Singiresu, Mechanical Vibration, Pearson Education, 4th edition, 2004.
  37. F. X. Mei, Analytical Mechanics, Beijing Institute of Technology Press, Beijing, China, 2013.
  38. S. O. R. Moheimani and A. J. Fleming, Fundamentals of Piezoelectricity. Piezoelectric Transducers for Vibration Control and Damping, Springer, London, UK, 2006.
  39. D. Gross, W. Hauger, J. Schröder, W. A. Wall, and J. Bonet, Engineering Mechanics 2: Mechanics of Materials, Springer, London, UK, 2011. View at Publisher · View at Google Scholar
  40. 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
  41. C. C. Liu, F. M. Li, L. Tang, and W. H. Huang, “Vibration control of the finite L-shaped beam structures based on the active and reactive power flow,” Science China Physics, Mechanics and Astronomy, vol. 54, no. 2, pp. 310–319, 2011. View at Publisher · View at Google Scholar · View at Scopus