Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties
Piezoelectric materials have been found to have many electromechanical applications in intelligent devices, generally in the form of the flexible cantilever element; thus, the analysis to the corresponding cantilever is of importance, especially when advanced mechanical properties of piezoelectric m...
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| Format: | Article |
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MDPI AG
2020-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/16/5557 |
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| author | Hong-Xia Jing Xiao-Ting He Da-Wei Du Dan-Dan Peng Jun-Yi Sun |
| author_facet | Hong-Xia Jing Xiao-Ting He Da-Wei Du Dan-Dan Peng Jun-Yi Sun |
| author_sort | Hong-Xia Jing |
| collection | DOAJ |
| description | Piezoelectric materials have been found to have many electromechanical applications in intelligent devices, generally in the form of the flexible cantilever element; thus, the analysis to the corresponding cantilever is of importance, especially when advanced mechanical properties of piezoelectric materials should be taken into account. In this study, the vibration problem of a piezoelectric cantilever beam with bimodular functionally-graded properties is solved via analytical and numerical methods. First, based on the equivalent modulus of elasticity, the analytical solution for vibration of the cantilever beam is easily derived. By the simplified mechanical model based on subarea in tension and compression, as well as on the layer-wise theory, the bimodular functionally-graded materials are numerically simulated; thus, the numerical solution of the problem studied is obtained. The comparison between the theoretical solution and numerical study is carried out, showing that the result is reliable. This study shows that the bimodular functionally-graded properties may change, to some extent, the dynamic response of the piezoelectric cantilever beam; however, the influence could be relatively small and unobvious. |
| first_indexed | 2024-03-10T17:37:43Z |
| format | Article |
| id | doaj.art-9702f150422342759551e10d1623a7b8 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T17:37:43Z |
| publishDate | 2020-08-01 |
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| series | Applied Sciences |
| spelling | doaj.art-9702f150422342759551e10d1623a7b82023-11-20T09:47:30ZengMDPI AGApplied Sciences2076-34172020-08-011016555710.3390/app10165557Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded PropertiesHong-Xia Jing0Xiao-Ting He1Da-Wei Du2Dan-Dan Peng3Jun-Yi Sun4School 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, ChinaSchool of Civil Engineering, Chongqing University, Chongqing 400045, ChinaPiezoelectric materials have been found to have many electromechanical applications in intelligent devices, generally in the form of the flexible cantilever element; thus, the analysis to the corresponding cantilever is of importance, especially when advanced mechanical properties of piezoelectric materials should be taken into account. In this study, the vibration problem of a piezoelectric cantilever beam with bimodular functionally-graded properties is solved via analytical and numerical methods. First, based on the equivalent modulus of elasticity, the analytical solution for vibration of the cantilever beam is easily derived. By the simplified mechanical model based on subarea in tension and compression, as well as on the layer-wise theory, the bimodular functionally-graded materials are numerically simulated; thus, the numerical solution of the problem studied is obtained. The comparison between the theoretical solution and numerical study is carried out, showing that the result is reliable. This study shows that the bimodular functionally-graded properties may change, to some extent, the dynamic response of the piezoelectric cantilever beam; however, the influence could be relatively small and unobvious.https://www.mdpi.com/2076-3417/10/16/5557piezoelectric effectbimodular modelfunctionally-graded materialscantilevervibration |
| spellingShingle | Hong-Xia Jing Xiao-Ting He Da-Wei Du Dan-Dan Peng Jun-Yi Sun Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties Applied Sciences piezoelectric effect bimodular model functionally-graded materials cantilever vibration |
| title | Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties |
| title_full | Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties |
| title_fullStr | Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties |
| title_full_unstemmed | Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties |
| title_short | Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties |
| title_sort | vibration analysis of piezoelectric cantilever beams with bimodular functionally graded properties |
| topic | piezoelectric effect bimodular model functionally-graded materials cantilever vibration |
| url | https://www.mdpi.com/2076-3417/10/16/5557 |
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