Piezoelectric ceramic disks with thickness-graded material properties
1Department of Civil Engineering and Operation Research, Princeton University, Princeton, NJ 08544, USA. 1ee@wave.princeton.ed
Summary
This study presents simplified equations for piezoelectric crystal plates, yielding accurate solutions for vibrations and static responses in homogeneous and bimorph disks. Experimental results closely match theoretical predictions for PZT-857 materials.
Area of Science:
- Solid mechanics
- Materials science
- Electrical engineering
Background:
- Linear piezoelectricity governs the behavior of piezoelectric materials.
- Understanding vibrations and static responses in piezoelectric disks is crucial for device applications.
- Thickness-graded material properties introduce complexity in modeling.
Purpose of the Study:
- To derive and simplify two-dimensional equations for electroded piezoelectric crystal plates.
- To obtain closed-form solutions for various vibration and static response modes.
- To validate the derived models through experimental comparison.
Main Methods:
- Deduction of 2D equations from 3D linear piezoelectricity.
- Simplification for homogeneous and bimorph piezoelectric ceramic cases.
- Derivation of closed-form solutions for flexural, thickness-shear, extensional, and thickness-stretch vibrations.
Main Results:
- Closed-form solutions were obtained for bimorph and homogeneous disks.
- Frequency spectra, modes, and resonance frequencies were computed.
- Experimental measurements for PZT-857 disks showed close agreement with computed results.
Conclusions:
- The simplified two-dimensional equations accurately model piezoelectric crystal plates.
- The derived solutions are effective for analyzing homogeneous and bimorph piezoelectric disks.
- The study validates the theoretical framework with experimental data.
