 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Haowei Zhang, Weifeng Leng, Hailong Wang, Yaohong Suo, and Pengfei Yu, "Vibration of Two-Dimensional Functionally Graded Beam with Dynamic Flexoelectric Effect," Mech. Solids. 57 (6), 1534-1549 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1534-1549 |
| DOI |
10.3103/S0025654422060140 |
| Title |
Vibration of Two-Dimensional Functionally Graded Beam with Dynamic Flexoelectric Effect |
| Author(s) |
Haowei Zhang (School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, 350002 China)
Weifeng Leng (School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, 350002 China)
Hailong Wang (School of Civil Engineering, Chang’an University, Xi'an, 710061 China)
Yaohong Suo (School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, 350002 China)
Pengfei Yu (School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, 350002 China, Yupengfei0422@fzu.edu.cn) |
| Abstract |
In this manuscript, a functionally graded beam model considering both flexoelectric and dynamic flexoelectric effects was established. Based on the modified strain gradient theory, the governing equation was reformulated, which included the effects of the dynamic flexoelectric coefficient and the material length scale parameters. Using the electrical open circuit condition, a analytical solutions of the lateral displacement and axial displacement under static bending were obtained. In order to further analyze the influence of dynamic flexoelectric effect on the natural frequency of free vibration, the frequency equation was obtained from Navier method. Numerical results show that the electric potential, polarization, and energy efficiency of functionally graded beam can be controlled by adjusting the gradient index and material length scale parameters. In addition, the simulation results also show that the dynamic flexoelectric effect coefficient has a more significant effect on the natural frequency at small span ratios. This work can provide helpful guidance for designing energy harvesting devices in functionally graded materials. |
| Keywords |
flexoelectricity, dynamic flexoelectricity, the modified strain gradient theory, functional graded nanobeam |
| Received |
21 June 2022 | Revised |
23 August 2022 | Accepted |
23 August 2022 |
| Link to Fulltext |
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