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Some Nonlinear Features of the Squeeze-Film Problem

Published online by Cambridge University Press:  05 May 2011

U. Lei  and
Chia-Han Chen
U. Lei*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Chia-Han Chen*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
**Graduate student
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Abstract

The nonlinear features of the squeeze-film problem between two parallel long strips driven by the relative harmonic oscillation of the strips is studied via the regular perturbation and numerical calculation for ∈ < 1 and σ = O(1)- O(103), where ∈ is the dimensionless amplitude of the oscillation, and σ is the squeeze number. The fluid film behaves as a (nonlinear) spring for large σ and as a (nonlinear) damper for small σ, which are qualitatively similar to the linear analysis. However, a steady state force is generated even though the driving mechanism is purely oscillatory due to the nonlinear effect. Furthermore, the dimensionless quasi-steady rate of energy dissipation within one cycle of the plate oscillation, E, is not zero (zero for linear analysis), and is maximized at σ ≈ 10. Also the rate of increase of E with ∈ is greater than ∈2. The present study may be helpful for the design of some accelerometers and vibration absorbers.

Keywords

Squeeze-filmNonlinear effectsForceDissipated energy.
Type
Articles
Information
Journal of Mechanics , Volume 15 , Issue 4 , December 1999 , pp. 137 - 147
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

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References

REFERENCES

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