Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements

ZHOU Yan-guo; CHEN Yun-min; DING Hao-jiang

Volume 28 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(12): 1411-1416

ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1411-1416.

Citation:

ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1411-1416.

Citation:

ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1411-1416.

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Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements

Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang Unversity, Hangzhou 310027, P. R. China

Received Date: 2007-04-16
Rev Recd Date: 2007-10-28
Publish Date: 2007-12-15

Abstract

Abstract

Piezoelectric bender elements are widely used as electromechanical sensors and actuators. An analytical sandwich beam model for piezoelectric bender elements was developed based on the first-order shear deformation theory (FSDT), which assumes a single rotation angle for the whole cross-section and a quadratic distribution function for coupled electric potential in piezoelectric layers, and corrects the effect of transverse shear strain on the electric displacement integration. Free vibration analysis of simply-supported bender elements was carried out and the numerical results showed that solutions of the present model for various thickness-to-length ratios compare well with the exact two-dimensional solutions, which presents an efficient and accurate model for analyzing dynamic electromechanical responses of bender elements.
- bender elements,
- piezoelectric,
- sandwich beam,
- shear correction factor,
- analytical model

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References(16)

References

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