Related Experiment Video
Updated: Jul 7, 2026

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring
Published on: November 14, 2025
Axisymmetric vibration of infinite piezoelectric cylinders using one-dimensional finite elements
1Tennessee Technol. Univ., Cookeville, TN.
Abstract:
A general finite-element analysis for infinite piezoelectric cylinders has been formulated. The classical three-dimensional elasticity equations of motion are used. The dependence on theta, z, and time are included by assuming appropriate trigonometric functions, and the three-dimensional problem is reduced to a one-dimensional finite element with four degrees of freedom per node. The tabulated results are limited to cylinders with stress-free, shorted electrode (phi=0) boundary conditions at the outside surface of the cylinder. However, solutions for a variety of boundary conditions are possible. Solutions for the piezoelectric cylinder compare favorably with the existing literature. The motion of piezoelectric cylinders with thin coatings is analyzed by modeling the cylinder and thin coating as a layered cylinder.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Eccentric Axial Loading in a Plane of Symmetry
Plastic Deformations of Members with a Single Plane of Symmetry
Thin-Walled Hollow Shafts
Torsion of Noncircular Members
Symmetric Member in Bending

