Free vibration of size-dependent FGM Mindlin microplates in viscous fluid

Li, Hui-Cui, Zhu, Lin-Feng, Wu, Zhangming ORCID: https://orcid.org/0000-0001-7100-3282 and Ke, Liao-Liang 2023. Free vibration of size-dependent FGM Mindlin microplates in viscous fluid. Waves in Random and Complex Media 10.1080/17455030.2023.2168088

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Abstract

This paper studies the free vibration of size-dependent functionally graded material (FGM) microplates in contact with viscous fluid. The Mori-Tanaka model is applied to formulate the continuous gradual variation of material properties of FGM microplates along thickness direction. A non-classical microplate model is established based on the modified couple stress theory, which considers the size effect by introducing the material length scale parameter. A physical neutral plane is introduced to eliminate the stretching-bending coupling effect. The motion of viscous fluid is defined by Navier-Stokes equations, with which the hydrodynamic loading on microplates is determined with consideration of inertial effect and viscous damping effect. The governing equations for FGM microplates in contact with viscous fluid are derived using the Hamilton’s principle and solved by differential quadrature method. Numerical results are obtained to discuss the influences of the aspect ratio, fluid depth, slenderness ratio, fluid viscosity, gradient index, fluid density, and size parameter on the vibration behaviors of microplates in contact with viscous fluid.

Item Type:	Article
Date Type:	Published Online
Status:	In Press
Schools:	Engineering
Publisher:	Taylor and Francis Group
ISSN:	1745-5030
Date of First Compliant Deposit:	6 March 2023
Date of Acceptance:	9 January 2023
Last Modified:	11 Nov 2024 23:00
URI:	https://orca.cardiff.ac.uk/id/eprint/156917

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