Variational Principle Modeling of Class IV Flextensional Transducers
Abstract
One approximation method that can accurately estimate a quantity of interest using relatively crude representations for the physical behavior of the system is the variational principle technique. This modeling is applied to flextensional transducer analysis by coupling a variational principle developed for the resonance frequency of the piezoelectric driving element to one for the resonance frequency of the shell, carefully ensuring that the boundary conditions at the driver-shell interface are satisfied. The in-vacuo mode shapes and resonance frequencies for a Class IV transducer calculated in this manner are compared with finite element models and experimental data for the first two even-even modes of the transducer. There is good agreement between the methods in the calculation of the resonance frequencies of these models, even though the mode shapes calculated variationally do not agree exactly with the finite element predictions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 21, 1994
- Accession Number
- ADA284977
Entities
People
- Harold C. Robinson
Organizations
- Naval Undersea Warfare Center