Cylindrical bending of piezoelectric laminates with a higher order shear and normal deformation theory

  • Authors:

  • Tarun Kant;S. M. Shiyekar

  • Affiliations:

  • Department of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India;Department of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India

  • Venue:
  • Computers and Structures
  • Year:
  • 2008

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Abstract

An analytical solution, based on a higher order shear and normal deformation theory, is presented for the cylindrical flexure of piezoelectric plates. The primary displacement terms are expanded in thickness coordinate and an exact nature of electric potential is obtained in actuator and sensing layers. The electric potential function is evaluated by solving a second order ordinary differential equation satisfying electric boundary conditions along thickness direction of piezoelectric layer. A unidirectional composite plate attached with distributed actuator and sensor layers is analyzed under electrical and mechanical loading conditions and comparison of results with exact solution is presented. Results for non-piezoelectric plates are also compared with elasticity and other solutions of cylindrical bending.