Research Papers

The Optimization for the Shape Profile of the Slider Surface Under Ultra-Thin Film Lubrication Conditions by the Rarefied-Flow Model

[+] Author and Article Information
Chin-Hsiang Cheng1

Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.chcheng@mail.ncku.edu.tw

Mei-Hsia Chang

Radio Frequency Group, National Synchrotron Radiation Research Center, Hsinchu, Taiwan 30076, R.O.C.


Corresponding author.

J. Mech. Des 131(10), 101010 (Sep 16, 2009) (10 pages) doi:10.1115/1.3213528 History: Received December 08, 2008; Revised July 30, 2009; Published September 16, 2009

The optimization of the surface shape for a slider to meet the specified load demands under an ultra-thin film lubrication condition has been performed in this study. The optimization process is developed based on the conjugate gradient method in conjunction with a direct problem solver, which is built based on the rarefied-flow theory. The direct problem solver is able to predict the pressure distributions of the rarefied gas flows in the slip-flow, transition-flow, and molecular-flow regimes with a wide range of characteristic inverse Knudsen number. First, the validity of the direct problem solver has been verified by a comparison with the existing information for some particular cases, and then the developed direct problem solver is incorporated with the conjugate gradient method for optimizing the shape profile of the slider surface. The performance of the present optimization approach has also been evaluated. Results show that the shape profile of the slider surface can be efficiently optimized by using the present approach. Thus, a number of cases under various combinations of influential parameters, involving the characteristic inverse Knudsen number and the bearing numbers in the x- and y-directions, are investigated.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Schematic of a slider and its moving surface

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Figure 2

The comparison in the pressure distribution and load capacity for the slider shape of H(X)=2−X between the present predictions and the solutions of Fukui and Kaneko (18)

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Figure 3

Error norms of the slider surface designs at various Do for three different cases

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Figure 4

Optimal slider surface shapes and comparisons between the desired and designed pressure distributions at different Do. The case shown here is case (2) of Fig. 3 and Table 1, where the specified bearing numbers are Λx=150 and Λy=20.

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Figure 5

Comparisons between the desired and designed pressure profiles along the plane at Y=0.5 with different Do for case (2)

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Figure 6

Designed slider shapes at different Do. The desired load demands are Fx=−4.630×10−2, Fy=−2.170×10−2, Fz=−1.700×10−1, XC1=0.590, YC1=0.540, XC2=0.610, and YC2=0.550 for Λx=80 and Λy=30.

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Figure 7

Effects of bearing numbers on the slider shape design. The desired load demands are Fx=−4.630×10−2, Fy=−2.170×10−2, Fz=−1.700×10−1, XC1=0.590, YC1=0.540, XC2=0.610, and YC2=0.550 at Do=10.



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