Methods for Solving Gas Damping Problems in Perforated Microstructures Using a 2D Finite-Element Solver

Sensors

Timo Veijola¹ 

[1] Helsinki University of Technology, P.O. Box 3000, FIN-02015 TKK, Finland, E-mail:

关键词: damping;    perforation;    gas damper;    rarefied gas;    Reynolds equation;   

DOI  :  10.3390/s7071069

来源: mdpi

【 摘 要 】

We present a straightforward method to solve gas damping problems for perforated structures in two dimensions (2D) utilising a Perforation Profile Reynolds (PPR) solver. The PPR equation is an extended Reynolds equation that includes additional terms modelling the leakage flow through the perforations, and variable diffusivity and compressibility profiles. The solution method consists of two phases: 1) determination of the specific admittance profile and relative diffusivity (and relative compressibility) profiles due to the perforation, and 2) solution of the PPR equation with a FEM solver in 2D. Rarefied gas corrections in the slip-flow region are also included. Analytic profiles for circular and square holes with slip conditions are presented in the paper. To verify the method, square perforated dampers with 16–64 holes were simulated with a three-dimensional (3D) Navier-Stokes solver, a homogenised extended Reynolds solver, and a 2D PPR solver. Cases for both translational (in normal to the surfaces) and torsional motion were simulated. The presented method extends the region of accurate simulation of perforated structures to cases where the homogenisation method is inaccurate and the full 3D Navier-Stokes simulation is too time-consuming.

【 授权许可】

Unknown   
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