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Modeling and analysis of rotating plates by using self-sensing active constrained layer damping

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Abstract

This paper proposes a new finite element model for active constrained layer damped (CLD) rotating plate with self-sensing technique. Constrained layer damping can effectively reduce the vibration in rotating structures. Unfortunately, most existing research models the rotating structures as beams that are not the case many times. It is meaningful to model the rotating part as plates because of improvements on both the accuracy and the versatility. At the same time, existing research shows that the active constrained layer damping provides a more effective vibration control approach than the passive constrained layer damping. Thus, in this work, a single layer finite element is adopted to model a three-layer active constrained layer damped rotating plate. Unlike previous ones, this finite element model treats all three layers as having the both shear and extension strains, so all types of damping are taken into account. Also, the constraining layer is made of piezoelectric material to work as both the self-sensing sensor and actuator. Then, a proportional control strategy is implemented to effectively control the displacement of the tip end of the rotating plate. Additionally, a parametric study is conducted to explore the impact of some design parameters on structure’s modal characteristics.

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References

  1. D. Ross, E. E. Ungar and E. M. Kerwin, Damping of plate flexural vibrations by means of viscoelastic laminae, ASME Annual Meeting Structural Damping, New York, USA (1959) 49–88.

    Google Scholar 

  2. D. K. Rao, Vibration of short sandwich beams, Journal of Sound and Vibration, 52(2) (1977) 253–263.

    Article  MATH  Google Scholar 

  3. J. A. Zapfe and G. A. Lesieutre, A discrete layer finite element for the dynamic analysis of composite sandwich beams with integral damping layers, Computer and Structures, 70(6) (1997) 647–666.

    Article  Google Scholar 

  4. A. Baz and J. Ro, Vibration control of plates with active constrained layer damping, Smart Material and Structures, 5(3) (1996) 272–280.

    Article  Google Scholar 

  5. J. X. Gao and W. H. Liao, Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments, Journal of Sound and Vibration, 280(1–2) (2005) 329–357.

    Article  Google Scholar 

  6. J. Dosch and D. Inman, A self-sensing piezoelectric actuator for collocated control, Journal of Intelligent Material Systems and Structures, 3(1) (1992) 166–185.

    Article  Google Scholar 

  7. A. Baz and J. Ro, Vibration control of plates using selfsensing active constrained layer damping, Journal of Vibration and Control, 8(6) (2002) 833–845.

    Article  MATH  Google Scholar 

  8. Y. A. Kulief, Vibration frequencies of a rotating tapered beam with end mass, Journal of Sound and Vibration, 134(1) (1989) 87–97.

    Article  Google Scholar 

  9. H. H. Yoo and C. Pieere, Modal characteristic of a rotating rectangular cantilever plate, Journal of Sound and Vibration, 259(1) (2003) 81–96.

    Article  Google Scholar 

  10. J. Liu and J. Hong, Geometric nonlinear formulation and discretization method for a rectangular plate undergoing large overall motions, Mechanics Research Communications, 32(5) (2005) 561–571.

    Article  MathSciNet  MATH  Google Scholar 

  11. E. H. K. Fung and D. T. W. Yau, Vibration of a rotating flexible arm with ACLD treatment, Journal of Sound and Vibration, 269(1–2) (2004) 165–182.

    Article  Google Scholar 

  12. I. Y. Shen, A variational formulation, a work-energy relation and damping mechanism of active constrained layer treatments, Journal of Vibration and Acoustics, 119(2) (1997) 192–199.

    Article  Google Scholar 

  13. L. Liu, Z. Zhang and H. Hua, Dynamic characteristics of rotating cantilever plates with active constrained layer damping treatments, Smart Materials and Structures, 16(5) (2007) 1849–1856.

    Article  MathSciNet  Google Scholar 

  14. S. O. R. Moheimani and A. J. Fleming, Piezoelectric Transducers for Vibration Control and Damping, Springer Press, New York, USA (2006).

    MATH  Google Scholar 

  15. W. S. Hwang, H. C. Park and W. Hwang, Vibration control of a laminated plate with piezoelectric sensor/actuator: finite element formulation and modal analysis, Journal of Intelligent Material Systems and Structures, 4(3) (1993) 317–329.

    Article  Google Scholar 

  16. D. Laxalde, F. Thouverez and J. P. Lombard, Forced response analysis of integrally bladed disks with friction ring dampers, Journal of Vibration and Acoustics-ASME Transactions, 132(1) (2010) 011013.1–011013.9.

    Google Scholar 

  17. A. Baz and J. Ro, Vibration control of plates using selfsensing active constrained layer damping networks, Journal of Vibration and Control, 8(6) (2002) 833–845.

    Article  MATH  Google Scholar 

  18. S. Nadeem, N. S. Akbar and M. Y. Malik, Numerical solutions of peristaltic flow of a newtonian fluid under the effects of magnetic field and heat transfer in a porous concentric tube, Zeitschrift fur Naturforschung, 65a (2010) 1–12.

    MATH  Google Scholar 

  19. S. Nadeem and N. S. Akbar, Numerical solutions of peristaltic flow of a jeffrey-six constant fluid with variable MHD, Zeitschrift fur Naturforschung, 65a (2010) 19.

    Google Scholar 

  20. S. Nadeem, N. S. Akbar and M. Y. Malik, Exact and numerical solutions of a micro polar fluid in a vertical annulus, Numerical Methods for Partial Differential Equation, 26(6) (2010) 1660–1674.

    MathSciNet  MATH  Google Scholar 

  21. S. Nadeem and N. S. Akbar, Exact and numerical simulation of peristaltic flow of a non-newtonian fluid with inclined magnetic field in an endoscope, International Journal for Numerical Methods in Fluids, 66(7) (2011) 919–934.

    Article  MathSciNet  MATH  Google Scholar 

  22. S. Nadeem and N. S. Akbar, Numerical Solutions of peristaltic flow of williamson fluid with radially varying mhd in an endoscope. International Journal for Numerical Methods in Fluids, 66(2) (2011) 212–220.

    Article  MathSciNet  MATH  Google Scholar 

  23. S. Nadeem and N. S. Akbar, Numerical analysis of peristaltic transport of a tangent hyperbolic fluid in an endoscope, Journal of Aerospace engineering, 24(3) (2011) 309–318.

    Article  Google Scholar 

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Correspondence to Zhengchao Xie.

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Recommended by Associate Editor Vikas Tomar

Zhengchao Xie received his B.Sc degree from Jilin University and M.Sc degree from Huazhong University of Science and Technology, both degrees are on automotive engineering. Dr. Xie got his Ph.D degree from University of Alabama and his research interests include vibration control, finite element method, and design optimization.

Pak Kin Wong is currently a Department Head of Electromechanical Engineering, University of Macau, Macao. He received his Ph.D degree in Mechanical Engineering from The Hong Kong Polytechnic University in 1997. His research interests include automotive engineering, fluid transmission & control, engineering applications of artificial intelligence and mechanical vibration.

Ian Ian Chong received his B.Sc degree from Shanghai Jiaotong University, and M.Sc degree from University of Macau. His research interests include mechanical vibration, application of constrained layer damping and design optimization.

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Xie, Z., Wong, P.K. & Chong, I.I. Modeling and analysis of rotating plates by using self-sensing active constrained layer damping. J Mech Sci Technol 26, 3009–3016 (2012). https://doi.org/10.1007/s12206-012-0817-5

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  • DOI: https://doi.org/10.1007/s12206-012-0817-5

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