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Smart Structures and Systems Volume 19, Number 6, June 2017 , pages 695-703 DOI: https://doi.org/10.12989/sss.2017.19.6.695 |
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Electro-magneto-elastic analysis of a three-layer curved beam |
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Mohammad Arefi and Ashraf M. Zenkour
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| Abstract | ||
| In this paper, based on first-order shear deformation theory, the governing equations of motion for a sandwich curved beam including an elastic core and two piezo-magnetic face-sheets are presented. The curved beam model is resting on Pasternak\'s foundation and subjected to applied electric and magnetic potentials on the piezo-magnetic face-sheets and transverse loading. The five equations of motion are analytically solved and the bending and vibration results are obtained. The influence of important parameters of the model such as direct and shear parameters of foundation and applied electric and magnetic potentials are studied on the electro-mechanical responses of the problem. A comparison with literatures was performed to validate our formulation and results. | ||
| Key Words | ||
| three-layer curved beam; piezo-magnetic face-sheets; Pasternak\'s foundation; first-order shear deformation theory | ||
| Address | ||
| Mohammad Arefi: Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt | ||