On the unified equations of functionally graded piezoceramic beams


Altay G., Dokmeci M. C.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol.24, no.4, pp.330-349, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1080/15376494.2016.1142025
  • Title of Journal : MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
  • Page Numbers: pp.330-349

Abstract

In this work (part I), we establish the 1D unified equations of a functionally graded piezoceramic beam from the 3D equations of piezoelectricity in both differential and variational forms. The equations of the beam, including a theorem of uniqueness, are obtained using a unified variational principle together with a kinematic-based product method of reduction. In part II, the free vibrations of the beam are considered and the basic properties of eigenvalues are examined. In part III, the equations are derived for the beam under mechanical and electrical bias. Furthermore, a solution for a piezoceramic torsion problem is given.