Tuesday, 12 October 2004 - 2:15 PM

This presentation is part of : Active Materials

Analytical Solutions for the Transverse Deflection of a Circular

Shuxiang Dong, MSE, Virginia Tech, 306 Holden Hall, MSE, Blacksburg, VA 24061, Jiashi Yang, University of Nebraska, Lincoln, NE NE 68588, Kenji Uchino, Pennsylvania State University, ICAT/MRL, University Park, State College, PA 16802, and Dwight Viehland.

This paper presents analytical solutions to the transverse deformation shape of a axi-symmetric disc type unimorph piezoelectric actuator. The solutions account for both the influence of an applied electric field, and a concentrated or uniformly distributed mechanical load. Using piezoelectric constitutive equations, combined with thin plate and small bending elastic theory, the generalized equation of motion for bending of thin piezoelectric-metal composite plates has been derived. Our approach predicts that there is an optimum thickness ratio between the piezoelectric and metal plates, which leads to a maximum combination of deflection and load carrying capabilities. Derived formulas offer a quick method for engineering design and optimization of a circular unimorph piezoelectric actuator.

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