Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-23T06:15:41.956Z Has data issue: false hasContentIssue false

Structural Responses of Surface-Mounted Piezoelectric Beams

Published online by Cambridge University Press:  05 May 2011

R.-T. Wang*
Affiliation:
Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor, corresponding author
Get access

Abstract

The formulation of a beam on which a pair of piezoelectric segments bonded is presented. The method of transfer matrix is adopted to study the structural responses of the surface-mounted actuation beam induced by an external force on the beam and by a voltage on the actuator. Furthermore, the modal frequencies and the corresponding mode shape functions of the beam also are obtained by the method. The orthogonality of any two distinct sets of mode shape functions of the beam is shown. The method of modal analysis is presented to study the forced vibration of the beam due to a concentrated transient force. The effects of length, location and thickness of the piezoelectric pairs on the structural responses and the modal frequencies of the beam are investigated.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Crawley, E. F. and de Luis, J., “Use of Piezoelectric Actuators as Elements of Intelligent Structures,” AIAA Journal, 25, pp. 13731385 (1987).CrossRefGoogle Scholar
2.Crawley, E. F. and Anderson, E. H., “Detailed Models of Piezoceramic Actuation of Beams,” Journal of Intelligent Material Systems and Structures, 1, pp. 425 (1990).CrossRefGoogle Scholar
3.Kolsky, H.Stress Waves in Solids, Dover, New York (1963).Google Scholar
4.Zhang, X. D. and Sun, C. T., “Formulation of an Adaptive Sandwich Beam,” Smart Materials and Structures, 5, pp. 814823 (1996).CrossRefGoogle Scholar
5.Benjeddou, ATrindade, M. A. and Ohayon, R., “Piezoelectric Actuation Mechanisms for Intelligent Sandwich Structures,” Smart Materials and Structures, 9, pp. 328335 (2000).CrossRefGoogle Scholar
6.Yang, S. M. and Lee, Y. J., “Modal Analysis of Stepped Beams with Piezoelectric Materials,” Journal of Sound and Vibration, 176, pp. 289300 (1994).CrossRefGoogle Scholar
7.Wang, R.-T. and Lin, J.-S., “Vibration of Multi-Span Timoshenko Frames due to Moving Loads,” Journal of Sound and Vibration, 212, pp. 417434 (1998).CrossRefGoogle Scholar
8.Wang, R.-T. and Lin, Z.-X.“Vibration Analysis of Ring-Stiffened Cross-Ply Laminated Cylindrical Shells,” Journal of Sound and Vibration, 295, pp.964987 (2006).CrossRefGoogle Scholar
9.Raja, S.Sreedeep, R. and Prathap, G., “Bending Behaviors of Hybrid-Actuated Piezoelectric Sandwich Beams,” Journal of Intelligent Material Systems and Structures, 15, pp. 611619 (2004).CrossRefGoogle Scholar