軸對稱雙層壓電元件之參數分析與設計

Parametric Analysis and Design for Axisymmetric Piezoelectric Bimorph Devices

莊傑丞(Chieh-Cheng Chuang)

指導教授 ： 黃仲偉

中原大學/工學院/土木工程研究所/碩士(2011年)

https://doi.org/10.6840/cycu201100844

摘要

壓電複合結構具有廣泛的應用性，而碟形及環形因具有軸對稱之幾何形狀，在製造上較其他幾何形狀為容易，因此在實務上的應用佔有很大比例。本研究主要探討等向性金屬與壓電陶瓷材料所組成之軸對稱雙層壓電元件的撓曲變形特性，針對不同幾何型式（壓電片為環形或碟形）與不同邊界條件下的雙層壓電元件，利用有限元素模擬其面外撓曲變形與面內徑向變形。一方面驗證文獻上既有的軸對稱雙層壓電元件解析公式，另一方面進行無因次的參數分析，比較雙層壓電元件在不同幾何型式下的優劣以及壓電片的最佳配置。

關鍵字

雙層軸對稱元件 ； 無因次參數分析 ； 壓電材料 ； 有限元素

並列摘要

Piezoelectric composite structures have intensive applications in many fields. Because of their axisymmetric characteristics, piezoelectric discs and rings can be manufactured more easily and have more chances in practical designs than other geometries. This research focuses on the static and dynamic characteristics of the bimorph transducers which consist of a piezoceramic disc and an isotropic circular metal plate. The analytical solutions for flexural displacements (out-of-plane) and radial displacements (in-plane) are discussed for the situations where piezoceramic are annular, circular or composite. Analytical solutions are verified by the finite element method which includes axisymmetric and three-dimensional analyses. In addition, the effects of boundary conditions are also investigated. Finally, the flexural displacement of the central point of the metal plate, the integration of flexural displacement of the metal plate, and the electromechanical coupling coefficient are taken as the objective functions to compare these three shapes of piezoelectric bimorph devices. Optimal design can be found for different objective function and different geometric types.

並列關鍵字

axisymmetric bimorph transducers ； analytical solutions ； piezoceramic ； optimal designs

參考文獻

Adelan, N. T. and Stavsky, Y. (1980), “Flexural-entensional behavior of composite piezoelectric circular plates”, J. Acoust. Soc. Am., 67(3), 819-822.

Chang, S. H. and Du, B. C. (2001), “Optimization of Axisymmetric Bimorphic Disk Transducers”, J. Acoust. Soc. Am., 109(1), 194-202.

Guo, N., Cawley, P., and Hitchings, D. (1992), “The finite element analysis of the vibration characteristics of piezoelectric discs”, J. Sound Vib. 159(1), 115-138.

Stavsky, Y. and Loewy, R. (1971), “Axisymmetric vibrations of isotropic composite circular plates”, J. Acoust. Soc. Am., 49(5), 1542.

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