Solution selectors: A user-oriented answer to the geometric constraint multiple solution problem

Bernhard Bettig, Jami Shah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The development of solid modeling to represent the geometry of designed parts and the development of parametric modeling to control the size and shape have had significant impacts on the efficiency and speed of the design process. Designers now rely on parametric solid modeling, but surprisingly often are frustrated by a problem that unpredictably causes their sketches to become twisted and contorted. This problem, known as the "multiple solution problem" occurs because the dimensions and geometric constraints yield a set of non-linear equations with many roots. This situation occurs because the dimensioning and geometric constraint information given in a CAD model is not sufficient to unambiguously and flexibly specify which configuration the user desires. This paper first establishes that only explicit, independent solution selection declarations can provide a flexible mechanism that is sufficient for all situations of solution selection. The paper then describes the systematic derivation of a set of "solution selector" types by considering the occurrences of multiple solutions in combinations of mutually constrained geometric entities. The result is a set of eleven basic solution selector types and two derived types that incorporate topological information. In particular, one derived type "concave/convex" is user-oriented and thought to be very useful.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages203-213
Number of pages11
Volume2
StatePublished - 2001
Event2001 ASME Design Engineering Technical Conference and Computers and Information in Engineering Conference - Pittsburgh, PA, United States
Duration: Sep 9 2001Sep 12 2001

Other

Other2001 ASME Design Engineering Technical Conference and Computers and Information in Engineering Conference
CountryUnited States
CityPittsburgh, PA
Period9/9/019/12/01

Fingerprint

Nonlinear equations
Computer aided design
Geometry

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Bettig, B., & Shah, J. (2001). Solution selectors: A user-oriented answer to the geometric constraint multiple solution problem. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 2, pp. 203-213)

Solution selectors : A user-oriented answer to the geometric constraint multiple solution problem. / Bettig, Bernhard; Shah, Jami.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 2 2001. p. 203-213.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bettig, B & Shah, J 2001, Solution selectors: A user-oriented answer to the geometric constraint multiple solution problem. in Proceedings of the ASME Design Engineering Technical Conference. vol. 2, pp. 203-213, 2001 ASME Design Engineering Technical Conference and Computers and Information in Engineering Conference, Pittsburgh, PA, United States, 9/9/01.
Bettig B, Shah J. Solution selectors: A user-oriented answer to the geometric constraint multiple solution problem. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 2. 2001. p. 203-213
Bettig, Bernhard ; Shah, Jami. / Solution selectors : A user-oriented answer to the geometric constraint multiple solution problem. Proceedings of the ASME Design Engineering Technical Conference. Vol. 2 2001. pp. 203-213
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