Iso-geometric modeling and free vibration analysis of FGP-MEE plates

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (15) : 169-178.

LIU Qingyun, ZHANG Hongyi, BAI Kaikai, HU Xiaolei, LIU Tao

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Abstract

Based on Isogeometric analysis (IGA), an isogeometric numerical analysis model is established for functionally graded porous magneto electro elastic (FGP-MEE) plates by using the first-order shear deformation theory (FSDT). Firstly, according to the modified power law (MPL) method, the equivalent material properties of the FGP-MEE plate with four different porosity distribution types (Vu，Vo，Vx，Vv) are determined. Then, the governing equations of the FGP-MEE plate are derived by using the magneto-electro-elastic coupling constitutive equations, Hamilton variational principle and IGA methods, and the effectiveness and accuracy of the model are verified by comparing with the existing literatures. Finally, the effects of porosity coefficient, functional gradient index, porosity distribution types, geometrical parameters (width-to-thickness ratio, length-to-width ratio) and boundary conditions on the free vibration of the FGP-MEE plate are studied. The results show that the natural frequency of the plate is greatly affected by the porosity distribution types, porosity coefficient and functional gradient index, and the plate with porosity distribution Vo possesses the highest stiffness.

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functionally graded porous magneto electro elastic plate / Isogeometric analysis / first-order shear deformation theory / free vibration

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LIU Qingyun, ZHANG Hongyi, BAI Kaikai, HU Xiaolei, LIU Tao. Iso-geometric modeling and free vibration analysis of FGP-MEE plates[J]. Journal of Vibration and Shock, 2024, 43(15): 169-178

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