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Steel and Composite Structures Volume 48, Number 6, September 25 2023 , pages 709-725 DOI: https://doi.org/10.12989/scs.2024.48.6.709 |
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Flexoelectric effect on buckling and vibration behaviors of piezoelectric nano-plates using a new deformation plate theory |
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Bui Van Tuyen, Du Dinh Nguyen and Abdelouahed Tounsi
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| Abstract | ||
| This paper uses a new type of deformation theory to establish the free vibration and static buckling equations of nanoplates resting on two-parameter elastic foundations, in which the flexoelectric effect is taken into account. The proposed approach used in this work is not only simpler than other higher-order shear deformation theories but also does not need any shear correction coefficients to describe exactly the mechanical responses of structures. The reliability of the theory is verified by comparing the numerical results of this work with those of analytical solutions. The results show that the flexoelectric effect significantly changes the natural frequency and the critical buckling load of the nanoplate compared with the case of neglecting this effect, especially when the plate thickness changes and with some different boundary conditions. These are new results that have not been mentioned in any publications but are meaningful in engineering practice | ||
| Key Words | ||
| buckling; elastic foundation; finite element method; flexoelectric effect; nanoplates; vibration | ||
| Address | ||
| Bui Van Tuyen:Faculty of Mechanical Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam Du Dinh Nguyen:Faculty of Civil Engineering, Lac Hong University, Dong Nai Province, Vietnam Abdelouahed Tounsi:1)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 2)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 3)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea | ||