Test case a brief description of the problem and

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Unformatted text preview: roperties a = 2000µm b = 1000 µm d = 5 µm Loading Operating frequency, Ω = 100000 Hz Velocity, v = 2000(µm)/s Pressure at edges = 1e5 Pa Analysis Assumptions and Modeling Notes The problem is modeling the fluid gap region between two rigid, non-deforming surfaces. The pressure of the fluid entering and exiting the gap creates a damped elastic response which can modeled by a spring-damper system. The calculations of the stiffness and damping constants are done by summing the pressure distribution over the area, then taking these force calculations and feeding them into the equations C= FRe νz K= FImω νz where F(im) and F(re) are the “imaginary” and “real” parts of the force calculated from the harmonic analysis. According to Blech an analytical solution for the damping and squeeze coefficient for a rigid plate moving with a transverse motion is given by: ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–575 VM245 C(Ω) = 64σ(Ω) po A π6 d Ω K s (Ω) = πd ∑ m = odd n = odd 64σ(Ω) po A 8 ∑ ∑ ∑ m 2 + n2 c 2 σ(Ω)2 (mn)2 (m2 + n2 c 2 )2 + π4 m =...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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