<title>Optimal placement of a piezoelectric patch on plate structures for vibration suppression</title>

Abstract

The objective of this work is to develop a method for placement of a single shunted piezoelectric patch to dampen several modes of plate vibration. This goal is accomplished by maximizing the generalized electromechanical coupling coefficient while limiting eigenvalues for the modes under consideration. The variation introduced is the location of the center of a square piezoelectric patch. The difficulty in finding the optimai location of the patch is rooted in both the vastly different mode shapes of the plate in this study and the fact the piezoelectric stiffness is frequency dependent and the frequency is dependent on the location of the piezoelectric. A method based on determining the maximum objective function due to a user-specified relationship between the modes of vibration of a given plate is presented. A small plate and an electrical chassis box bottom plate are used as optimization examples. The method developed is highly adaptable to changes in structural design, material changes and changes in the relative importance of the modes of vibration.

Optimal placement of piezoelectric material on a cantilever beam for maximum piezoelectric damping and power harvesting efficiency

“…Hollkamp [26] studied the effects of the placement of a single piezoelectric damping device on the generalized electromechanical coupling for the second and third bending modes of a cantilever beam, and compared the generalized electromechanical coupling coefficients at six different PZT patch locations. Ogden and Grandhi [27] presented a finite element approach combined with eigenvalue analysis for optimal placement. They applied their method to a system with exactly the same configuration as Hollkamp's and compared their results with those obtained by Hollkamp.…”

Finite Element Charts and Active Vibration Suppression Schemes for Smart Structures Design

“…In terms of active struts, researchers have developed struts with vibration suppression or precision positioning capabilities (e.g., Anderson et al, 1990;Wada et al, 1990;Ghasemi-Nejhad, 2002;Doherty and Ghasemi-Nejhad, 2005). In terms of active panels for vibration suppression, various researchers have worked on the embedded or surface-mounted sensors and actuators for composite and metallic plates, beams, and shells (Bailey and Hubbard, 1985;Ogden and Grandhi, 1996;Carpenter, 1997;Chandrashekhara and Varadarajan, 1997;Yang and Jeng, 1997;Etienne-Cummings et al, 1998;Lee et al, 1998;Proulx et al, 1998;Yoshikawa et al, 1999;Ghasemi-Nejhad et al, 2005). Researchers have shown that it is possible to tailor the shape/location of the actuator to either excite or suppress particular modes, leading to improved control behaviors.…”

Manufacturing and Testing of Active Composite Panels with Embedded Piezoelectric Sensors and Actuators

“…In terms of active panels for vibration suppression, various researchers have worked on embedded or surface mounted sensors and actuators for composite and metallic plates, beams, and shells (Ogden and Grandhi, 1996;Carpenter, 1997;Chandrashekhara and Varadarajan, 1997;Yang and Jeng, 1997;Etienne-Cummings et al, 1998;Lee et al, 1998;Proulx et al, 1998;Suleman et al, 1999;Yoshikawa et al, 1999;Ameduri et al, 2001;Ashour and Nayfeh, 2001;Bevan and Mei, 2001;Costa et al, 2001;Inman et al, 2001;Khot et al, 2001;Kim et al, 2001;Kudva et al, 2001;Librescu and Na, 2001;Philen and Wang, 2001;Takahashi et al, 2001;Wang et al, 2001). Researchers have shown that it is possible to tailor the shape/location of the actuator to either excite or suppress particular modes or optimize the shape/ location/drive-circuit of smart structures and their actuators leading to improved control behavior (Wohlers et al, 2001).…”