Method for determining the optimum shape to be conferred on a th

Details Method for determining the optimum shape to be conferred on a th Method for determining the optimum shape to be conferred on a th

1996-02-14

1998-12-08

Griffin, Steven P.

Glass manufacturing

Processes

65 291, 65106, 65111, C03B 1900, C03B 2300, G06F 1750

Patent

active

058462775

ABSTRACT:
The method relates to an optimizing method for determining the optimum shape of plates such as sheets of sheet metal, panes of glass, or other thin objects designed in particular to retract completely in order to leave a clear opening. To simplify the use of shaped plates that have already been predesigned, they are modified such that their shapes coincide substantially with a "screwable" surface chosen from the wide variety of existing surfaces that meet screwability criteria and can hence move in the space without changing position, except for their edges. Implementation of the method allows the various constraints that may exist in the design of such plates to be met.

REFERENCES:
patent: 5226942 (1993-07-01), Letemps et al.
patent: 5236487 (1993-08-01), Letemps et al.
patent: 5562750 (1996-10-01), Letemps et al.
patent: 5626642 (1997-05-01), Letemps et al.
Farin, G., "Curves and Surfaces for Computer Aided Geometric Design--A Practical Guide", Second Edition, Academic Press, Inc., pp. 202-207, 250-251, 272-277, 290-293.
Fletcher, R., "Practical Methods of Optimization", Second Edition, John Wiley & Sons, pp. 110-117.
Curves and Surfaces in Geometric Design, 1994, Wellesley MA US pp. 293-300; Leger, et al "Least-Squares Optimization of Thread Surfaces".
Computer Aided Design, vol. 21, No. 7, Sep. 1989, London, GB, pp. 421-429; Markot, et al "Solutions of Tangential Surface and Curve Intersections".
Proceedings Symposium on Interactive 3D Grahics, Mar. 29, 1992, Cambridge, Mass., US, pp. 101-108; Fowler, "Geometric Manipulation of Tensor Product Surfaces".

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