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Passively minimizing structural sound radiation using shunted piezoelectric materials.
M Bulent Ozer1, Thomas J Royston
1University of Illinois at Chicago, Chicago, Illinois 60607, USA.
The Journal of the Acoustical Society of America
|November 1, 2003
Summary
Two methods were developed to reduce sound radiation from plates using piezoceramic materials. The Sherman Morrison (SM) method proved superior in minimizing acoustic sound-power radiation and pressure, especially when accounting for nonlinearities.
Area of Science:
- Acoustics
- Vibration Control
- Materials Science
Background:
- Piezoceramic materials are used to control vibrations and reduce sound radiation from structures.
- Optimizing shunt circuits is crucial for effective performance.
Purpose of the Study:
- To present and compare two methods for determining optimal shunt circuit parameters for piezoceramic-based sound radiation minimization.
- To evaluate the effectiveness of these methods under both linear and nonlinear system assumptions.
Main Methods:
- Developed two distinct methods: den Hartog's damped vibration absorber (DH) and the Sherman Morrison (SM) matrix inversion theorem.
- Utilized optimization algorithms and case studies with both linearized and nonlinear piezoceramic models, including dielectric hysteresis.
Main Results:
- The Sherman Morrison (SM) method demonstrated superior performance in minimizing total acoustic sound-power radiation and acoustic pressure.
- Case studies confirmed that incorporating system nonlinearity is essential for accurate optimization when significant nonlinear effects are present.
Conclusions:
- The Sherman Morrison method offers a more effective approach for optimizing piezoceramic shunt circuits to minimize sound radiation.
- Accurate modeling of piezoceramic nonlinearity is critical for achieving optimal vibration and acoustic control in relevant applications.