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Fitting a Woven Cloth Model to a Curved Surface: Dart Insertion

Published: 01 September 1996 Publication History

Abstract

Woven cloth composite materials have been extensively used to reinforce the structures of automobiles and the airframes of aircraft. It is well-known that a woven cloth composite "ply" has the capability of fitting to fairly complex geometries. Fitting here means that a ply is deformed and applied to a 3D surface in such a way that it is in contact everywhere with the surface. However, it is not always possible to fit a woven cloth composite ply to highly curved surfaces. In such cases it is necessary to cut pieces, or "darts," out of the cloth in order to accomplish the fitting. In this paper, we present dart insertion algorithms developed for use in a woven cloth composite CAD system. We first define our models of darts, then describe how appropriately inserted darts can suppress anomalies in the resulting 3D composite ply and how to optimize the shape of darts. We finally present several examples of how possible anomalies can be removed by inserting darts.

References

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B.C. Hoskin and A.A. Baker, Composite Materials for Aircraft Structures, AIAA, New York, 1986.
[2]
M. Aono D.E. Breen and M.J. Wozny, "A Computer-Aided Broadcloth Composite Layout Design System," in Geometric Modeling for Product Realization, P.R. Wilson, M.J. Wozny, and M.J. Pratt, eds., North-Holland, Amsterdam, 1993, pp. 223-250.
[3]
M. Aono D.E. Breen and M.J. Wozny, "Fitting a Woven Cloth Model to a Curved Surface: Mapping Algorithms," Computer Aided Design, Vol. 26, No. 4, 1994, pp. 278-292.
[4]
M. Aono, Computer-Aided Geometric Design for Forming Woven Cloth Composites, PhD thesis, Dept. of Computer Science, Rensselaer Polytechnic Institute, Troy, N.Y., 1994.
[5]
F.L.K. Heisey, A Quantitative Methodology for Generating Specifically Fitted Garment Patterns, PhD thesis, University of Minnesota, 1984.
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R.E. Robertson, et al., "Fiber Rearrangements during the Modeling of Continuous Fiber Composites—I. Flat Cloth to a Hemisphere," Polymer Composites, Vol. 2, No. 3, 1981, pp. 126-131.
[7]
M.J. Pratt and A.D. Geisow, "Surface/Surface Intersection Problems," in The Mathematics of Surfaces, J.A. Gregory, ed., Clarendon Press, Oxford, UK, 1986, pp. 117-142.
[8]
R.E. Barnhill, ed., Geometry Processing for Design and Manufacturing, SIAM, Philadelphia, 1992.
[9]
Material Science Corp., "Woven Fabric Reinforced Composites for Automotive Applications," Tech. Report MSC TFR 1605/8102, Jan. 1986.
[10]
G. Farin, Curves and Surfaces for Computer Aided Geometric Design, Third Ed., Academic Press., San Diego, Calif., 1992.
[11]
D.F. Rogers, Procedural Elements for Computer Graphics, McGraw-Hill, New York, 1985.

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Information & Contributors

Information

Published In

cover image IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications  Volume 16, Issue 5
September 1996
91 pages

Publisher

IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 September 1996

Author Tags

  1. Cloth Modeling
  2. Computer-Aided Geometric Design
  3. Darts Readers may contact TBA

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