Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification
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 analy...
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| Format: | Article |
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MDPI AG
2019-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/1/215 |
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| author | Zhi-Xin Yang Xiao-Ting He Dan-Dan Peng Jun-Yi Sun |
| author_facet | Zhi-Xin Yang Xiao-Ting He Dan-Dan Peng Jun-Yi Sun |
| author_sort | Zhi-Xin Yang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T04:31:51Z |
| format | Article |
| id | doaj.art-051c9505c52548618361a831de2e70c5 |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-10T04:31:51Z |
| publishDate | 2019-12-01 |
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| series | Applied Sciences |
| spelling | doaj.art-051c9505c52548618361a831de2e70c52022-12-22T02:02:07ZengMDPI AGApplied Sciences2076-34172019-12-0110121510.3390/app10010215app10010215Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental VerificationZhi-Xin Yang0Xiao-Ting He1Dan-Dan Peng2Jun-Yi Sun3School of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaAs 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.https://www.mdpi.com/2076-3417/10/1/215free damping vibrationcantilever beampiezoelectric materialsbiparametric perturbation methodexperimental verification |
| spellingShingle | Zhi-Xin Yang Xiao-Ting He Dan-Dan Peng Jun-Yi Sun Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification Applied Sciences free damping vibration cantilever beam piezoelectric materials biparametric perturbation method experimental verification |
| title | Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification |
| title_full | Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification |
| title_fullStr | Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification |
| title_full_unstemmed | Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification |
| title_short | Free Damping Vibration of Piezoelectric Cantilever Beams: A Biparametric Perturbation Solution and Its Experimental Verification |
| title_sort | free damping vibration of piezoelectric cantilever beams a biparametric perturbation solution and its experimental verification |
| topic | free damping vibration cantilever beam piezoelectric materials biparametric perturbation method experimental verification |
| url | https://www.mdpi.com/2076-3417/10/1/215 |
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