Derivation of the Kinematic Differential Equation for Bending Characteristics of the Bimorph

Abstract:

The bimorphs in this paper are provided with electrodes in parallel manner. When an electric field is applied, one plate elongates and the other contracts. This results in a bending motion and used for actuators or sensors. According to plate theory assumptions, establish the strain deflection expression firstly. And then, derive the strain-stress relation of PZT layer from g-type piezoelectric equations. Finally, some general equations are derived for piezoelectric laminated plates and can be used in theoretical or simulation analysis. Mainly, a kind of deflection differential equation about 3-layer electrical parallel piezoelectric thin plate has been obtained. Furthermore, replacing static load by initial force per unit area, the kinematic differential equation has also been derived.

• Periodical: Applied Mechanics and Materials (Volumes 201-202)
• Pages: 665-668
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.201-202.665
• Online since: October 2012
• Authors: Shun Ming Hua, Xiao Jun Wang, Yi Qiang Wang
• Keywords: Bending Characteristics, Piezoelectric Bimorph, Theoretical Analysis

References

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