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TECHNICAL PAPERS

Design of Developable Surfaces Using Optimal Control

[+] Author and Article Information
F. C. Park, Junghyun Yu, Changmook Chun

School of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-742, Koreae-mail: fcp@plaza.snu.ac.kr

Bahram Ravani

Department of Mechanical and Aeronautical Engineering, University of California, Davis, Davis, CA 95616e-mail: bravani@ucdavis.edu

J. Mech. Des 124(4), 602-608 (Nov 26, 2002) (7 pages) doi:10.1115/1.1515795 History: Received April 01, 2001; Online November 26, 2002
Copyright © 2002 by ASME
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References

Figures

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Surface corresponding to the minimum control effort base curve. The v-shaped curve represents the edge of regression.
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Surface corresponding to minimal arc length base curve. The v-shaped curve represents the edge of regression.
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Controlling the edge of regression: weight factor=0.1. The upper and lower curves represent the base curve and edge of regression, respectively.
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Controlling the edge of regression: weight factor=0.25
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Controlling the edge of regression: weight factor=0.75
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Controlling the edge of regression: weight factor=0.9
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The distance between the base curve and the edge of regression as a function of weighting factor
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The ruled surface and its base curve
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The approximating developable surface and its base curve, β=0.01
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The approximating developable surface and its base curve, β=1
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The approximating developable surface and its base curve, β=100

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