Micro & Nano Letters (Jan 2024)

Squeeze‐film damping model of perforated plate considering border effect

  • Cunhao Lu,
  • Zeyuan Zhang,
  • Wei Liu,
  • Jian Chen

DOI
https://doi.org/10.1049/mna2.12185
Journal volume & issue
Vol. 19, no. 1
pp. n/a – n/a

Abstract

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Abstract The squeeze‐film damping (SQFD) is an important dissipation mechanism of Micro‐Electro‐Mechanical Systems resonators. The current SQFD models of perforated plates treat borders of plate and holes as the constant pressure boundary, without considering border effect. In this paper, the border effect on SQFD is studied by expanding simulation area. At the same time, based on the research of non‐perforated plate border effect, the calculation size of the perforated plate hole cell is modified, and the modified SQFD model of the perforated plate has been built. Compared with simulation results, it shows the border effect has a great influence on SQFD of perforated plate. The precision of the modified model is higher than that of recent models. For a rectangular plate, the maximum error of the modified model is 12%, while for the recent model it is 40%. For a circular plate, the modified model is 38%, while the recent model is 58%.

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