Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Circular Shaft - Stresses in Linear Range

Circular Shaft - Stresses in Linear Range

Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.

Circular Shafts - Elastoplastic Materials

Circular Shafts - Elastoplastic Materials

The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...

Flexural Stress

Flexural Stress

When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Erratum: "Increasing piezoelectric effect in radially polarized soft PZT cylinders by pressure treating and its practical applications" [J. Acoust. Soc. Am. 147(6), 4145-4152 (2020)].

The Journal of the Acoustical Society of America·2021

Same author

Effects of circumferential stress on tangentially polarized piezoelectric cylinders.

The Journal of the Acoustical Society of America·2020

Same author

Increasing piezoelectric effect in radially polarized soft piezoelectric cylinders by pressure treating and its practical applications.

The Journal of the Acoustical Society of America·2020

Same author

Piezoelectric cylindrical discs and solid rods: Dependence of the resonance frequencies and effective coupling coefficients on aspect ratio.

The Journal of the Acoustical Society of America·2016

Same author

Nonuniform piezoelectric circular plate flexural transducers with underwater applications.

The Journal of the Acoustical Society of America·2015

Same author

Piezoelectric slotted ring transducer.

The Journal of the Acoustical Society of America·2013

Search research articles

Related Experiment Video

Updated: May 9, 2026

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring

Published on: November 14, 2025

Piezoelectric circular ring flexural transducers.

Boris S Aronov¹

¹BTech Acoustics LLC, Advanced Technology and Manufacturing Center, University of Massachusetts Dartmouth, 151 Martine Street, Fall River, Massachusetts 02723, USA. baronov@comcast.net

The Journal of the Acoustical Society of America

|August 10, 2013

Summary

This summary is machine-generated.

This study analyzes flexural vibrations in piezoelectric ceramic ring transducers. Findings show a one-dimensional model is applicable, enabling optimization for hydroacoustic projectors.

More Related Videos

Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics

Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics

Published on: August 5, 2020

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure

Published on: February 20, 2019

Related Experiment Videos

Last Updated: May 9, 2026

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring

Published on: November 14, 2025

Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics

Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics

Published on: August 5, 2020

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure

Published on: February 20, 2019

Area of Science:

Materials Science
Acoustics
Electrical Engineering

Background:

Piezoelectric ceramic ring transducers are crucial for acoustic applications.
Understanding their flexural vibrations is key to optimizing performance.
Previous models often simplify the complex electromechanical behavior.

Purpose of the Study:

To analytically treat piezoelectric ceramic complete ring transducers undergoing flexural vibrations.
To determine conditions for electromechanical excitation of these vibrations.
To develop an optimized design for low-frequency hydroacoustic projectors.

Main Methods:

Analytical treatment of flexural vibrations in a complete ring transducer.
Analysis of electromechanical excitation conditions.
Development and application of a one-dimensional equivalent electromechanical circuit.
Consideration of electrode extent for optimizing the effective coupling coefficient.
Investigation of baffles for enhanced low-frequency hydroacoustic projection.

Main Results:

The fundamental mode of flexural vibration is dominant over a broad frequency range.
A one-dimensional equivalent electromechanical circuit model is applicable and its parameters are determined.
Optimization of the effective coupling coefficient is possible by adjusting electrode coverage.
Baffles on opposing quadrants are necessary for effective low-frequency hydroacoustic projection.
Radiation impedance and directional factors with baffles were analyzed.

Conclusions:

The one-dimensional equivalent circuit model provides a valid representation for flexural ring transducers.
Effective coupling coefficient optimization is achievable through electrode design.
Baffles are essential for enhancing the performance of these transducers as low-frequency hydroacoustic projectors.
The study provides insights into limitations of radiated acoustical power.