Equations for the extension and flexure of a piezoelectric beam with rectangular cross section and applications

Article type: Research Article

Authors: Yang, J.S.^a

Affiliations: [a] Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0347, USA Fax: +1 402 472 8292; E-mail: jyang@unlinfo.unl.edu

Abstract: One-dimensional equations for the extension and flexure with shear deformations of a piezoelectric beam with rectangular cross section are derived from the three‐dimensional equations for linear piezoelectricity by double power series expansion in the thickness and width directions. The equations are reduced to the case of elementary flexure without shear deformations. As an application of these equations, the buckling of a ceramic piezoelectric beam is discussed.

DOI: 10.3233/JAEM-1998-121

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 9, no. 4, pp. 409-420, 1998