On the unified equations of functionally graded piezoceramic beams


Altay G., Dokmeci M. C.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, cilt.24, ss.330-349, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/15376494.2016.1142025
  • Dergi Adı: MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
  • Sayfa Sayıları: ss.330-349

Özet

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.