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TECHNICAL PAPERS

Surface Feature Parametrization Analogous to Conductive Heat Flow

[+] Author and Article Information
Anne L. Marsan

Yifan Chen, Paul J. Stewart

Manufacturing Systems Department, Ford Research Laboratory, 2010 Village Road, P.O. Box 2053, MD 3135, SRL, Dearborn, MI 48121-2053

J. Comput. Inf. Sci. Eng 2(2), 77-85 (Sep 25, 2002) (9 pages) doi:10.1115/1.1510860 History: Received January 01, 2002; Revised August 01, 2002; Online September 25, 2002
Copyright © 2002 by ASME
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References

Figures

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The linear triangular element used to solve the Dirichlet problem
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Two DSM features, both with the same boundary curve and point influence center. The feature in (a) uses a radial parameterization, while the one in (b) uses a Dirichlet parameterization.
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Two DSM features, both with the same boundary curve and open curve influence center. The feature in (a) uses a radial parameterization, while the one in (b) uses a Dirichlet parameterization.
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Two DSM features, both with the same boundary curve and closed curve influence center. The feature in (a) uses a radial parameterization, while the one in (b) uses a Dirichlet parameterization.
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A single DSM feature with three different basis functions applied to it. The basis function for each case is shown next to the feature.
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A DSM feature with a non-star-shaped closed curve influence center computed using (a) radial parameterization and (b) Dirichlet parameterization
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A non-star-shaped DSM feature using (a) radial and (b) Dirichlet parameterization used to modify the hood of a vehicle near the windshield
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A multiply connected DSM feature created with Dirichlet parameterization.
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A basis function used to compute the magnitude of displacement within a DSM feature
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DSM features with various influence centers: a point (a), an open curve (b), and a closed curve (c). In all figures the DSM features have been added to a finite element model of the hood of an automobile for an aerodynamics simulation.
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An automobile floorpan showing some of the many features that can be modeled with DSM
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Two cases in which radial parameterization does not work: (a) the constructed line crosses the boundary curve at more than one point; and (b) more than one line can be constructed normal to the influence center.
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A car door inner panel. The base shape in the middle of the lower half of the door assembly (as indicated by a thick border curve) can be modeled by a non-convex DSM feature.
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(a) Shown is the boundary and influence center for a DSM feature. (b) The DSM feature has been mapped to an annulus.
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This plot shows the parameter value u as a function of r for an annulus with inner radius of 0.25 and outer radius of 1.0.
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These two graphs show parameter distributions for two different annuli. The one in (a) has an inner radius of 0.1 and the one in (b) has an inner radius of 0.001.
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Computing the parameter value for a point p when the influence center is a point (a) and a closed curve (b)

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