Cylindrical Shells with Piezoelectric Shear Actuators
Abstract
Due to the advantage of having properties such as rapid response, high resolution, low power consumption and large bandwidth, piezoelectric materials have in recent years been employed as actuators and sensors in many structures for noise reduction, vibration control, shape control and health monitoring. In the applications of piezoelectric actuators, the electromechanical interactions between them and their host structures must be fully understood. Generally, the piezoelectric actuators bonded to the surface of an adaptive structure are thin elements which have been poled in the thickness direction. When an electric field is applied in the thickness direction of a piezoelectric actuator, longitudinal strains are induced in the actuator, forcing the host structure to deform. Such actuation mechanism of piezoelectric actuators is known as extensional actuation. So far, the majority of research work on the applications of piezoelectric actuators in smart structures is based on such extensional mechanism (Rao and Sunar, 1999).
Keywords
Cylindrical Shell Thickness Ratio Piezoelectric Actuator Feedback Gain Piezoelectric LayerPreview
Unable to display preview. Download preview PDF.
References
- Aldraihem, O.J. and Khdeir, A.A. (2003). “Exact deflection solutions of beams with shear piezoelectric actuators”, International Journal of Solids and Structures, 40(1): 1–12.CrossRefMATHGoogle Scholar
- Baillargeon, B.P. and Vel, S.S. (2005). “Exact solution for the vibration and active damping of composite plates with piezoelectric shear actuators”, Journal of Sound and Vibration, 282: 781–804.CrossRefGoogle Scholar
- Benjeddou, A., Trindade, M.A. and Ohayon, R. (1997). “A unified beam finite element model for extension and shear piezoelectric actuation mechanisms”, Journal of Intelligent Material Systems and Structures, 8 (12): 1012–1025.CrossRefGoogle Scholar
- Benjeddou, A., Gorge, V. and Ohayon, R. (2001a). “Use of piezoelectric shear response in adaptive sandwich shells of revolution—part 1: theoretical formulation”, Journal of Intelligent Material Systems and Structures, 12 (4): 235–245.CrossRefGoogle Scholar
- Benjeddou, A., Gorge, V. and Ohayon, R. (2001b). “Use of piezoelectric shear response in adaptive sandwich shells of revolution—part 2: finite element implementation”, Journal of Intelligent Material Systems and Structures, 12 (4): 247–257.CrossRefGoogle Scholar
- Jin, Z.L., Yang, Y.W. and Soh, C.K. (2005). “Application of fuzzy GA for optimal vibration control of smart cylindrical shells”, Smart Materials and Structures, 14 (6): 1250–1264.CrossRefGoogle Scholar
- Kant, T. and Shiyekar, S.M. (2008). “Cylindrical bending of piezoelectric laminates with a higher order shear and normal deformation theory”, Computers and Structures, 86: 1594–1603.CrossRefGoogle Scholar
- Khdeir, A.A. and Aldraihem, O.J. (2001). “Deflection analysis of beams with extension and shear piezoelectric patches using discontinuity functions”, Smart Materials and Structures, 10(2): 212–220.CrossRefGoogle Scholar
- Lee, C.K. and Moon, F.C. (1990). “Modal sensors/actuators”, Journal of Applied Mechanics, 57: 434–441.CrossRefGoogle Scholar
- Li, H.Y., Sun, Y. and Liu, Z.X. (2004). “Three-dimensional analytical solutions for multilayered cylindrical shells with embedded piezoelectric shear actuators”, Key Engineering Materials, 274–276: 1125–1130.CrossRefGoogle Scholar
- Li, H.Y. and Yang, Y.W. (2007). “Dynamic response and active control of a composite cylindrical shell with piezoelectric shear actuators”, Smart Materials and Structures, 16(3): 909–918.CrossRefGoogle Scholar
- Morgan Matroc (2006). Electro ceramic Div., Bedford, OH, http://www.morganelectroceramics.com/piezo_products.html.Google Scholar
- Rao, S.S. and Sunar, M. (1999). “Recent advances in sensing and control of flexible structures via piezoelectric material technology”, Applied Mechanics Reviews, 52: 1–16.CrossRefGoogle Scholar
- Raja, S., Prathap, G. and Sinha, P.K. (2002). “Active vibration control of composite sandwich beams with piezoelectric extension-bending and shear actuators”, Smart Materials and Structures, 11(1): 63–71.CrossRefGoogle Scholar
- Sun, C.T. and Zhang, X.D. (1995). “Use of thickness shear mode in adaptive sandwich structures”, Smart Materials and Structures, 4(3): 202–206.CrossRefGoogle Scholar
- Trindade, M.A. and Benjeddou, A. (2008). “Refined sandwich model for the vibration of beams with embedded shear piezoelectric actuators and sensors”, Computers and Structures, 86: 859–869.CrossRefGoogle Scholar
- Tzou, H.S. (1993). Piezoelectric Shells—Distributed Sensing and Control of Continua. Dordrecht: Kluwer Academic Publishers.Google Scholar
- Vel, S.S. and Baillargeon, B.P. (2005). “Analysis of static deformation, vibration and active damping of cylindrical composite shells with piezoelectric shear actuators”, Journal of Vibration and Acoustics, 127(4): 395–407.CrossRefGoogle Scholar
- Yang, Y.W. and Zhang, L. (2006). “Optimal excitation of a rectangular plate resting on an elastic foundation by a piezoelectric actuator”, Smart Materials and Structures, 15(4): 1063–1078.CrossRefGoogle Scholar
- Zhang, X.D. and Sun, C.T. (1996). “Formulation of an adaptive sandwich beam”, Smart Materials and Structures, 5(6): 814–823.CrossRefGoogle Scholar