Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation
In this paper, a functionally graded piezoelectric plate on an elastic foundation composed of two different piezoelectric materials bonded together in the form of plate is studied, and its static bending and fundamental frequencies are analyzed. First, based on Kirchhoff plate theory and the Hamilto...
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MDPI AG
2022-01-01
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| Online Access: | https://www.mdpi.com/2076-3417/12/3/1517 |
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| author | Wei Wang Haonan Li Linquan Yao |
| author_facet | Wei Wang Haonan Li Linquan Yao |
| author_sort | Wei Wang |
| collection | DOAJ |
| description | In this paper, a functionally graded piezoelectric plate on an elastic foundation composed of two different piezoelectric materials bonded together in the form of plate is studied, and its static bending and fundamental frequencies are analyzed. First, based on Kirchhoff plate theory and the Hamilton principle, the governing equations and corresponding boundary conditions of the model are derived, and then the equations are discretized and solved by the differential quadrature method (DQM). Finally, the effects of physical parameters such as length-to-height ratio, length-to-width ratio, material graded index, foundation stiffness coefficient, temperature change value and external voltage value on static bending deflection, and fundamental frequency value of the functionally graded piezoelectric plate with four sides simply supported are discussed. The calculated results are in good agreement with those in the literature. The data results show that the increase in the elastic foundation stiffness coefficient will increase the equivalent stiffness of the plate. In the process of work, due to the equivalent pressure value generated by the influence of the external voltage, it will lead to unstable phenomena. |
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| id | doaj.art-6e10f5f61857469cb4b82734306e46bf |
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| language | English |
| last_indexed | 2024-03-10T00:11:10Z |
| publishDate | 2022-01-01 |
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| spelling | doaj.art-6e10f5f61857469cb4b82734306e46bf2023-11-23T15:58:52ZengMDPI AGApplied Sciences2076-34172022-01-01123151710.3390/app12031517Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic FoundationWei Wang0Haonan Li1Linquan Yao2School of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaSchool of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaSchool of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaIn this paper, a functionally graded piezoelectric plate on an elastic foundation composed of two different piezoelectric materials bonded together in the form of plate is studied, and its static bending and fundamental frequencies are analyzed. First, based on Kirchhoff plate theory and the Hamilton principle, the governing equations and corresponding boundary conditions of the model are derived, and then the equations are discretized and solved by the differential quadrature method (DQM). Finally, the effects of physical parameters such as length-to-height ratio, length-to-width ratio, material graded index, foundation stiffness coefficient, temperature change value and external voltage value on static bending deflection, and fundamental frequency value of the functionally graded piezoelectric plate with four sides simply supported are discussed. The calculated results are in good agreement with those in the literature. The data results show that the increase in the elastic foundation stiffness coefficient will increase the equivalent stiffness of the plate. In the process of work, due to the equivalent pressure value generated by the influence of the external voltage, it will lead to unstable phenomena.https://www.mdpi.com/2076-3417/12/3/1517functionally graded piezoelectric platestatic bendingfundamental frequency valueelastic foundation |
| spellingShingle | Wei Wang Haonan Li Linquan Yao Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation Applied Sciences functionally graded piezoelectric plate static bending fundamental frequency value elastic foundation |
| title | Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation |
| title_full | Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation |
| title_fullStr | Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation |
| title_full_unstemmed | Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation |
| title_short | Static Bending and Vibration Analysis of a Rectangular Functionally Gradient Piezoelectric Plate on an Elastic Foundation |
| title_sort | static bending and vibration analysis of a rectangular functionally gradient piezoelectric plate on an elastic foundation |
| topic | functionally graded piezoelectric plate static bending fundamental frequency value elastic foundation |
| url | https://www.mdpi.com/2076-3417/12/3/1517 |
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