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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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
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
Zhou Y. H. and Tzou H. S. (2000). Active control of nonlinear piezoelectric circular shallow spherical shells. Int. J. Solids Struct. 37: 1663–1677
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
Tzou H. S. and Ding J. H. (2004). Optimal control of precision paraboloidal shell structronic systems. J. Sound Vibr. 276: 273–291
Tzou H. S. (1993). Piezoelectric shells. Kluwer Academic Publishers, Dordrecht
Ray M. C. (2003). Optimal control of laminated shells using piezoelectric sensor and actuator layers. AIAA 41: 1151–1157
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
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
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
Wang X. D. and Huang G. L. (2002). Modelling and analysis of piezoelectric actuators in anisotropic structures. Acta Mech. 155: 45–63
Sun D. and Tong L. (2001). Modal control of smart shells by optimized discretely distributed piezoelectric transducers. Int. J. Solids Struct. 38: 3281–3299
Wang C. Y. and Vaicaitis R. (1998). Active control of vibrations and noise double wall cylindrical shells. J. Sound Vibr. 216: 865–888
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)
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.
Xie S. L. and Zhang X. N. (2004). Study on characteristic of book-block piezoelectric actuator. J. Vibr. Engng. 17: 112–115 (In Chinese)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-007-0501-5