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Vibration control of a simply supported cylindrical shell using a laminated piezoelectric actuator

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Summary

This paper develops a novel laminated piezoelectric actuator (LPA) to control the vibration of a cylindrical shell structure, which is fabricated through bonding multiple piezoelectric layers of the same property together. The electromechanically coupled equations of the system are derived based on the classic shell theory. A parametric study is then conducted to evaluate the effects of geometric and physical properties of the actuator on actuating forces. The results show that as the number of layers increases, the actuating forces per voltage produced by LPA in the axial, circumferential and radial directions of the shell all increase noticeably. The active vibration control of a simply supported cylindrical shell using LPA of different layer numbers is simulated as well under a velocity feedback scheme. It is indicated that with the same control voltage the LPA can obtain a better control performance than the conventional single layer piezoelectric actuator as expected and the targeted radial modal vibration of the shell is attenuated significantly.

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References

  1. Tzou H. S., Lee H. J. and Arnold S. M. (2004). Smart materials, precision sensors/actuators, smart structures, and structronic systems. Mech. Adv. Mat. Struct. 2: 367–393

    Article  Google Scholar 

  2. Tzou H. S. and Bao Y. (1996). Parametric study of segmented transducers laminated on cylindrical shells, part 2: actuator patches. J. Sound Vibr. 197: 225–249

    Article  Google Scholar 

  3. Zhou Y. H. and Tzou H. S. (2000). Active control of nonlinear piezoelectric circular shallow spherical shells. Int. J. Solids Struct. 37: 1663–1677

    Article  MATH  Google Scholar 

  4. Tzou H. S., Wang D. W. and Chai W. K. (2002). Dynamics and distributed control of conical shells laminated with full and diagonal actuators. J. Sound Vibr. 256: 65–79

    Article  MathSciNet  Google Scholar 

  5. Tzou H. S. and Ding J. H. (2004). Optimal control of precision paraboloidal shell structronic systems. J. Sound Vibr. 276: 273–291

    Article  MathSciNet  Google Scholar 

  6. Tzou H. S. (1993). Piezoelectric shells. Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  7. Ray M. C. (2003). Optimal control of laminated shells using piezoelectric sensor and actuator layers. AIAA 41: 1151–1157

    Article  Google Scholar 

  8. Balamurugan V. and Narayanan S. (2001). Shell finite element for smart piezoelectric composite plate/shell structures and its application to the study of active vibration control. Finite Elements Anal. Desi. 37: 713–738

    Article  MATH  Google Scholar 

  9. Narayanan S. and Balamurugan V. (2003). Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators. J. Sound Vibr. 262: 529–562

    Article  Google Scholar 

  10. Pinto Correia I. F., Cristovao Mota Soares M., Mota Soares Carlos A. and Herskovits J. (2002). Active control of axisymmetric shells with piezoelectric layers: a mixed laminated theory with a high order displacement field. Comput. Struct. 80: 2265–2275

    Article  Google Scholar 

  11. Wang X. D. and Huang G. L. (2002). Modelling and analysis of piezoelectric actuators in anisotropic structures. Acta Mech. 155: 45–63

    Article  MATH  Google Scholar 

  12. Sun D. and Tong L. (2001). Modal control of smart shells by optimized discretely distributed piezoelectric transducers. Int. J. Solids Struct. 38: 3281–3299

    Article  MATH  Google Scholar 

  13. Wang C. Y. and Vaicaitis R. (1998). Active control of vibrations and noise double wall cylindrical shells. J. Sound Vibr. 216: 865–888

    Article  Google Scholar 

  14. Zhang X. N., Xie S. L., Li J. B. and Zhang J. H. (1999). Experimental study of the controllable constrained damping layer structure with book-block actuator. J. Xi’an Jiaotong University 33: 77–81 (In Chinese)

    Google Scholar 

  15. Zhang, X. N., Li, Z. M., Zhang, J. H.: Book-block actuator and hybrid control of plate. Proceedings of ICAPV 2000, pp. 79–85. Beijing: Science Press 2000.

  16. Xie S. L. and Zhang X. N. (2004). Study on characteristic of book-block piezoelectric actuator. J. Vibr. Engng. 17: 112–115 (In Chinese)

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Mechanics/MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, P.R. China

    Y. H. Zhang, S. L. Xie & X. N. Zhang

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  1. Y. H. Zhang
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  2. S. L. Xie
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  3. X. N. Zhang
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Correspondence to Y. H. Zhang.

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Zhang, Y.H., Xie, S.L. & Zhang, X.N. Vibration control of a simply supported cylindrical shell using a laminated piezoelectric actuator. Acta Mech 196, 87–101 (2008). https://doi.org/10.1007/s00707-007-0501-5

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  • DOI: https://doi.org/10.1007/s00707-007-0501-5

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