Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method
Multilayer piezoelectric stacks, which are multiple layers of piezoelectric materials placed on top of each other, are widely used to achieve precise linear movement and high-force generation. In this paper, a dynamic stiffness (DS) method for the dynamic vibration analysis of multilayer piezoelectr...
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MDPI AG
2024-12-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/16/1/20 |
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| author | Wenxiang Ding Zhaofeng Liang Wei Zhao Hongmei Zhong Dan Chen Maxime Bavencoffe Marc Lethiecq |
| author_facet | Wenxiang Ding Zhaofeng Liang Wei Zhao Hongmei Zhong Dan Chen Maxime Bavencoffe Marc Lethiecq |
| author_sort | Wenxiang Ding |
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| description | Multilayer piezoelectric stacks, which are multiple layers of piezoelectric materials placed on top of each other, are widely used to achieve precise linear movement and high-force generation. In this paper, a dynamic stiffness (DS) method for the dynamic vibration analysis of multilayer piezoelectric stacks is presented. First, the general solutions for all physical quantities of the three vibration contributions (i.e., pure vibration, symmetrically coupled vibration, and anti-symmetrically coupled vibration) are derived from the governing equations of motion. Then, the DS matrices of each layer of the piezoelectric stack are obtained, and they are assembled to form a global DS matrix. The electrical impedances and the mode shapes of a piezoelectric stack consisting of two piezoelectric disks connected in series and in parallel are calculated using our method as well as by the finite element method. The comparison shows good agreement. Finally, the effect of the number of layers on the dynamic responses of piezoelectric stacks is investigated. The DS method developed here provides an efficient and accurate analytical tool for the parametric and optimization analysis of the coupled vibrations of multilayer piezoelectric structures. |
| format | Article |
| id | doaj-art-465a2c00f9144571b38e3a84c7914acc |
| institution | Kabale University |
| issn | 2072-666X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
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| series | Micromachines |
| spelling | doaj-art-465a2c00f9144571b38e3a84c7914acc2025-01-24T13:41:51ZengMDPI AGMicromachines2072-666X2024-12-011612010.3390/mi16010020Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness MethodWenxiang Ding0Zhaofeng Liang1Wei Zhao2Hongmei Zhong3Dan Chen4Maxime Bavencoffe5Marc Lethiecq6School of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, ChinaSchool of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, ChinaSchool of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, ChinaSchool of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, ChinaInstitute of Ultrasonic Technology, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, ChinaGREMAN UMR 7347 CNRS, Université de Tours, INSA Centre Val de Loire, 3 Rue de la Chocolaterie, 41000 Blois, FranceGREMAN UMR 7347 CNRS, Université de Tours, INSA Centre Val de Loire, 3 Rue de la Chocolaterie, 41000 Blois, FranceMultilayer piezoelectric stacks, which are multiple layers of piezoelectric materials placed on top of each other, are widely used to achieve precise linear movement and high-force generation. In this paper, a dynamic stiffness (DS) method for the dynamic vibration analysis of multilayer piezoelectric stacks is presented. First, the general solutions for all physical quantities of the three vibration contributions (i.e., pure vibration, symmetrically coupled vibration, and anti-symmetrically coupled vibration) are derived from the governing equations of motion. Then, the DS matrices of each layer of the piezoelectric stack are obtained, and they are assembled to form a global DS matrix. The electrical impedances and the mode shapes of a piezoelectric stack consisting of two piezoelectric disks connected in series and in parallel are calculated using our method as well as by the finite element method. The comparison shows good agreement. Finally, the effect of the number of layers on the dynamic responses of piezoelectric stacks is investigated. The DS method developed here provides an efficient and accurate analytical tool for the parametric and optimization analysis of the coupled vibrations of multilayer piezoelectric structures.https://www.mdpi.com/2072-666X/16/1/20multilayer piezoelectric stackdynamic stiffness methodelectrical impedancemode shapefinite element method |
| spellingShingle | Wenxiang Ding Zhaofeng Liang Wei Zhao Hongmei Zhong Dan Chen Maxime Bavencoffe Marc Lethiecq Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method Micromachines multilayer piezoelectric stack dynamic stiffness method electrical impedance mode shape finite element method |
| title | Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method |
| title_full | Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method |
| title_fullStr | Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method |
| title_full_unstemmed | Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method |
| title_short | Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method |
| title_sort | modeling and characterization of multilayer piezoelectric stacks via dynamic stiffness method |
| topic | multilayer piezoelectric stack dynamic stiffness method electrical impedance mode shape finite element method |
| url | https://www.mdpi.com/2072-666X/16/1/20 |
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