Lumped-Parameter Analysis of the Class-IV (Oval) Flextensional Transducer.
Abstract
A complete dynamic analysis of the class-IV flextensional transducer is accomplished by placing the combined equations of motion for the shell, the internal and external acoustic pressure fields, and the piezoelectric stack into integral form and then iterating to determine the mechanical impedance (for the first two bending modes and first membrane mode) of the shell and the basic acoustic radiation impedance components for each mode. In addition, the electrical and mechanical impedances of the stack are developed to include the composite ceramic, electrode, and bonding-cement effects as well as the lateral-motion and lateral-resonance effects. The effects of radiating end plates and compliant-tube-plus-oil filled transducer cavities are analyzed by assuming that all shells in the composite transducer have a common radial velocity within the operating bandwidth of the transducer. A first-order estimate of the cylindrical axial wavenumbers (the eigenvalues of the shell velocity matrix) is made by using the above assumptions to diagonalize the matrix, which leads to a closed solution. All resulting acoustic impedances are then computed by substituting a corrected radial wavenumber into the original impedances. Although no specific data are included, the basic model developed in the report has been used to design several operational transducers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 15, 1973
- Accession Number
- AD0769130
Entities
People
- Gerald A. Brigham
Organizations
- Naval Underwater Systems Center