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Smart Structures and Systems Volume 26, Number 3, September 2020 , pages 331-343 DOI: https://doi.org/10.12989/sss.2020.26.3.331 |
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Magneto-electro-elastic vibration analysis of modified couple stress-based three-layered micro rectangular plates exposed to multi-physical fields considering the flexoelectricity effects |
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Mohammad Khorasani, Arameh Eyvazian, Mohammed Karbon, Abdelouahed Tounsi, Luca Lampani and Tamer A. Sebaey
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| Abstract | ||
| In this paper, based on the CPT, motion equations for a sandwich plate containing a core and two integrated face-sheets have derived. The structure rests on the Visco-Pasternak foundation, which includes normal and shear modules. The piezo-magnetic core is made of CoFe2O4 and also is subjected to 3D magnetic potential. Two face sheets at top and bottom of the core are under electrical fields. Also, in order to obtain more accuracy, the effect of flexoelectricity has took into account at face sheets' relations in this work. Flexoelectricity is a property of all insulators whereby they polarize when subject to an inhomogeneous deformation. This property plays a crucial role in small-scale rather than macro scale. Employing CPT, Hamilton's principle, flexoelectricity considerations, the governing equations are derived and then solved analytically. By present work a detailed numerical study is obtained based on Piezoelectricity, Flexoelectricity and modified couple stress theories to indicate the significant effect of length scale parameter, shear correction factor, aspect and thickness ratios and boundary conditions on natural frequency of sandwich plates. Also, the figures show that there is an excellent agreement between present study and previous researches. These finding can be used for automotive industries, aircrafts, marine vessels and building industries. | ||
| Key Words | ||
| flexoelectricity; vibration analysis; sandwich plates; modified couple stress theory; electro-magnetic fields | ||
| Address | ||
| (1) Mohammad Khorasani, Luca Lampani: Department of Mechanical and Aerospace Engineering, Sapienza University, Via Eudossiana 18, 00184, Rome, Italy; (2) Arameh Eyvazian, Mohammed Karbon: Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar; (3) Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; (4) Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (5) Tamer A. Sebaey: Department of Mechanical Design and Production, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Sharkia, Egypt; (6) Tamer A. Sebaey: Department of Engineering Management, College of Engineering, Prince Sultan University, Riyadh, Saudi Arabia. | ||