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Dynamic analysis of submerged microscale plates: the effects of acoustic radiation and viscous dissipation

Wu, Zhangming ORCID: and Ma, Xianghong 2016. Dynamic analysis of submerged microscale plates: the effects of acoustic radiation and viscous dissipation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472 (2187) , 20150728. 10.1098/rspa.2015.0728

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The aim of this paper is to study the dynamic characteristics of micromechanical rectangular plates used as sensing elements in a viscous compressible fluid. A novel modelling procedure for the plate–fluid interaction problem is developed on the basis of linearized Navier–Stokes equations and no-slip conditions. Analytical expression for the fluid-loading impedance is obtained using a double Fourier transform approach. This modelling work provides us an analytical means to study the effects of inertial loading, acoustic radiation and viscous dissipation of the fluid acting on the vibration of microplates. The numerical simulation is conducted on microplates with different boundary conditions and fluids with different viscosities. The simulation results reveal that the acoustic radiation dominates the damping mechanism of the submerged microplates. It is also proved that microplates offer better sensitivities (Q-factors) than the conventional beam type microcantilevers being mass sensing platforms in a viscous fluid environment. The frequency response features of microplates under highly viscous fluid loading are studied using the present model. The dynamics of the microplates with all edges clamped are less influenced by the highly viscous dissipation of the fluid than the microplates with other types of boundary conditions.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: Royal Society, The
ISSN: 1364-5021
Funders: Engineering and Physical Sciences Research Council
Date of First Compliant Deposit: 9 June 2016
Date of Acceptance: 19 February 2016
Last Modified: 03 May 2023 22:06

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