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Article

Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification

1
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2
Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(1), 215; https://doi.org/10.3390/app10010215
Received: 24 November 2019 / Revised: 22 December 2019 / Accepted: 24 December 2019 / Published: 26 December 2019
(This article belongs to the Special Issue Homogenization Methods in Materials and Structures)
As an intelligent material, piezoelectric materials have been widely used in many intelligent fields, especially in the analysis and design of sensors and actuators; however, the vibration problems of the corresponding structures made of the piezoelectric materials are often difficult to solve analytically, because of their force–electric coupling characteristics. In this paper, the biparametric perturbation method was used to solve the free damping vibration problem of piezoelectric cantilever beams, and the perturbation solution of the problem solved here was given. A numerical example was given to discuss the influence of the piezoelectric properties on the vibration of piezoelectric cantilever beams. In addition, related vibration experiments of the piezoelectric cantilever beams were carried out, and the experimental results were in good agreement with the theoretical results. The results indicated that the biparametric perturbation solution obtained in this study is effective, and it may serve as a theoretical reference for the design of sensors and actuators made of piezoelectric materials. View Full-Text
Keywords: free damping vibration; cantilever beam; piezoelectric materials; biparametric perturbation method; experimental verification free damping vibration; cantilever beam; piezoelectric materials; biparametric perturbation method; experimental verification
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MDPI and ACS Style

Yang, Z.-X.; He, X.-T.; Peng, D.-D.; Sun, J.-Y. Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification. Appl. Sci. 2020, 10, 215. https://doi.org/10.3390/app10010215

AMA Style

Yang Z-X, He X-T, Peng D-D, Sun J-Y. Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification. Applied Sciences. 2020; 10(1):215. https://doi.org/10.3390/app10010215

Chicago/Turabian Style

Yang, Zhi-Xin, Xiao-Ting He, Dan-Dan Peng, and Jun-Yi Sun. 2020. "Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification" Applied Sciences 10, no. 1: 215. https://doi.org/10.3390/app10010215

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