Cylindrical bending of a piezoelectric plate with a higher-order shear and normal deformable plate theory

Romesh C. Batra; Stefano Vidoli

doi:10.1117/12.436466

21 August 2001 Cylindrical bending of a piezoelectric plate with a higher-order shear and normal deformable plate theory

Romesh C. Batra, Stefano Vidoli

Author Affiliations +

Proceedings Volume 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures; (2001) https://doi.org/10.1117/12.436466
Event: SPIE's 8th Annual International Symposium on Smart Structures and Materials, 2001, Newport Beach, CA, United States

Abstract

We derive a Kth order (K = 0,1,2,3...) Piezoelectric plate theory from a 3D mixed variational principle. The balance laws, constitutive relations and the boundary conditions are deduced. The application of the theory is illustrated by analyzing the cylindrical bending deformations of a cantilever PZT5A plate loaded on the top and/or bottom surfaces by a uniformly distributed charge density. We also ascertain deformations of the plate for different values of the angle between the poling direction and the normal to the midsurface of the plate.

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Romesh C. Batra and Stefano Vidoli "Cylindrical bending of a piezoelectric plate with a higher-order shear and normal deformable plate theory", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); https://doi.org/10.1117/12.436466

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