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

Zhangming Wu*, Xianghong Ma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 noslip conditions. Analytical expression for the fluidloading 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 beingmass 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.

Original languageEnglish
Article number20150728
Number of pages22
JournalProceedings of the Royal Society of London A
Issue number2187
Publication statusPublished - 23 Mar 2016

Bibliographical note

-Funding: EPSRC (EP/D033284/1)

Data accessibility: this work is mainly on theoretical simulation


  • acoustic radiation
  • dynamics
  • fluid structure interaction
  • microelectromechanical systems
  • viscous damping


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