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TECHNICAL PAPERS

Shape Design for Surface of a Slider by Inverse Method

[+] Author and Article Information
Chin-Hsiang Cheng, Mei-Hsia Chang

Department of Mechanical Engineering, Tatung University, 40 Chungshan N. Road, Sec. 3, Taipei, Taiwan 10451, R.O.C.

J. Tribol 126(3), 519-526 (Jun 28, 2004) (8 pages) doi:10.1115/1.1704627 History: Received March 13, 2003; Revised September 18, 2003; Online June 28, 2004
Copyright © 2004 by ASME
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References

White,  J. W., 1983, “Flying Chrarcteristics of the ‘Zero-Load’ Slider Bearing,” ASME J. Lubr. Technol., 105, pp. 484–490.
Buckholz,  R. H., 1986, “Effects of Power-Law, Non-Newtonian Lubricants on Load Capacity and Friction for Plane Slider Bearings,” ASME J. Tribol., 108, pp. 86–91.
Kubo,  M., Ohtsubo,  Y., Kawashima,  N., and Marumo,  H., 1988, “Finite Element Solution for the Rarefied Gas Lubrication Problem,” ASME J. Tribol., 110, pp. 335–341.
Hu,  Y., and Bogy,  D. B., 1997, “Dynamic Stability and Spacing Modulation of Sub-25 nm Fly Height Sliders,” ASME J. Tribol., 119, pp. 646–652.
Wang,  N., Ho,  C. L., and Cha,  K. C., 2000, “Engineering Optimum Design of Fluid-Film Lubricated Bearings,” Tribol. Trans., 43, pp. 377–386.
Hu,  Y., 1999, “Contact Take-Off Characteristics of Proximity Recording Air Bearing Sliders in Magnetic Hard Disk Drivers,” ASME J. Tribol., 121, pp. 948–954.
Hashimoto,  H., and Hattori,  Y., 2000, “Improvement of the Static and Dynamic Characteristics of Magnetic Head Sliders by Optimum Design,” ASME J. Tribol., 122, pp. 280–287.
Yoon,  S. J., and Choi,  D. H., 1997, “An Optimum Design of the Transverse Pressure Contour Slider for Enhanced Flying Characteristics,” ASME J. Tribol., 119, pp. 520–524.
Kotera,  H., and Shima,  S., 2000, “Shape Optimization to Perform Prescribed Air Lubrication Using Genetic Algorithm,” Tribol. Trans., 43, pp. 837–841.
El-Gamal,  H. A., and Awad,  T. H., 1994, “Optimum Model Shape of Sliding Bearings for Oscillating Motion,” Tribol. Int., 27, pp. 189–196.
O’Hara,  M. A., Hu,  Y., and Bogy,  D. B., 2000, “Optimization of Proximity Recording Air Bearing Sliders in Magnetic Hard Disk Drivers,” ASME J. Tribol., 122, pp. 257–259.
Kang,  T. S., Choi,  D. H., and Jeong,  T. G., 2001, “Optimal Design of HDD Air-Lubricated Slider Bearings for Improving Dynamic Characteristics and Operating Performance,” ASME J. Tribol., 123, pp. 541–547.
Hanke, M., 1995, Conjugate Gradient Type Methods for Ill-Posed Problems, John Wiley & Sons, New York.
Cheng,  C. H., and Wu,  C. Y., 2000, “An Approach Combining Body-Fitted Grid Generation and Conjugate Gradient Methods for Shape Design in Heat Conduction Problems,” Numer. Heat Transfer, Part B, 37, pp. 69–83.
Cheng,  C. H., and Chang,  M. H., 2003, “Shape Design for a Cylinder With Uniform Temperature Distribution on the Outer Surface by Inverse Heat Transfer Method,” Int. J. Heat Mass Transfer, 46, pp. 101–111.
Cheng,  C. H., and Chang,  M. H., 2003, “Shape Identification by Inverse Heat Transfer Method,” ASME J. Heat Transfer, 125, pp. 224–231.
Gross, W. A., Matsch, L. A., Castelli, V., Eshel, A., Vohr, J. H., and Wildmann, M., 1980, Fluid Film Lubrication, John Wiley & Sons, New York.

Figures

Grahic Jump Location
Physical model of a slider bearing
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Comparison between the numerical predictions by direct problem solver and the analytical solutions given by Gross et al. 17 for the case with H(X,Y)=2−X at l/w=0.1, 0.5, 1.0, and 2.0
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Exact (specified) and designed (optimized) shapes and pressure distributions. The pressure distribution for the case considered in Table 1 is treated as the specified (exact) pressure distribution. The exact shape is H(X,Y)=1.7785−0.3X+0.1X2−1.8Y+1.4Y2.
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Effects of measurement uncertainty in pressure distribution on slider shape design. The pressure distribution for the case considered in Table 1 is treated as the exact pressure distribution. The exact shape is H(X,Y)=1.7785−0.3X+0.1X2−1.8Y+1.4Y2. (a) σ=0.01 (b) σ=0.1
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Slider shape design that is able to provide the specified pressure distribution. The bearing numbers are fixed at ΛX=2000 and ΛY=0. (a) specified pressure distribution; and (b) designed surface profile
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Unique-solution situation: optimal shape design which is independent of the initial guess, for F̄X1=−8,F̄Y1=3,F̄Z1=−25,X̄C1=0.52,ȲC1=0.49,X̄C2=0.51,ȲC2=0.50,ΛX=3000, and ΛY=0.
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Multiple-solution situation: optimal shape design which is dependent on the initial guess, for F̄X1=−5.5,F̄Y1=1.5,F̄Z1=−1.6,X̄C1=0.57,ȲC1=0.5,ΛX=4000, and ΛY=0
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Designed slider shape and its pressure distribution at various combinations of bearing numbers. The load demands are: F̄X1=−8,F̄Y1=3,F̄Z1=−25,X̄C1=0.52,ȲC1=0.49,X̄C2=0.51, and ȲC2=0.50. (a) ΛX=2000,ΛY=0 (b) ΛX=5000,ΛY=1000 (c) ΛX=7000,ΛY=5000.
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Iteration process of shape design, for the case at F̄X1=−8,F̄Y1=3,F̄Z1=−25,X̄C1=0.52,ȲC1=0.49,X̄C2=0.51, and ȲC2=0.50, at ΛX=3000 and ΛY=0

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