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Computers and Concrete Volume 34, Number 3, September 2024 , pages 267-277 DOI: https://doi.org/10.12989/cac.2024.34.3.267 |
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Nonlinear resonance of magneto-electro-thermal-elastic plates with geometric imperfection |
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Yin-Ping Li and Gui-Lin She
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| Abstract | ||
| In this article, the primary resonance characteristic of magneto-electro-elastic plates is analyzed, in which the geometric imperfection, thermal effect and shear deformation are taken into account, Applying Hamilton's principle, derivation of nonlinear motion equations is performed. Through solving these equations according to the modified Lindstedt Poincare method, the impacts of external electric voltage, magnetic potential, boundary conditions, temperature changes, geometric imperfection and aspect ratio on the resonance behaviors of MEE plates are examined. It can be found that, as the electric potential rises, the resonance position will be advanced. As the magnetic potential goes up, the resonance frequency of the plates increases, thus delaying the resonance position. As the initial geometric imperfection rises, the resonance position does not change, and the hard spring properties of the plates gradually weaken. | ||
| Key Words | ||
| first order plate theory; geometric imperfection; magneto-electro-elastic plates; primary resonance; thermal factor | ||
| Address | ||
| College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China | ||