Abstract
This paper deals with modeling and problem solving of variant geometry in mechanical computer aided design. Enhanced undirected graph is used as a schema for modeling a constraint geometry system. Two important techniques called equivalent line segment method and separable entity group approach are introduced in this paper. These techniques developed by the authors are used to unify and simplify variant geometry problem solving.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
B. Aldefeld, Variation of geometry based on a geometric reasoning method, Computer-Aided Design, 20(3), 1988. 275, 280
W. Bouma, I. Fudos, C. Hoffmann, J. Cai and R. Paige, Geometric constraint solver, Computer-Aided Design, 27(6), 1995. 275, 280
X. S. Gao and S. C. Chou, Solving geometric constraint system, Computer-Aided Design, 30(1), 1998. 275
R. Light and D. Gossard, Modification of geometric models through variational geometry, Computer-Aided Design, 14(4), 1982. 275, 280
J. Liu, L. Li, B. Yuan and Z. Ou, Constraint processing strategy based on equivalent entity in parametric CAD, Journal of Dalian University of Technology, 35(5), 1995. 277
J. Liu and Z. Ou, Equivalent method in parametric CAD, Proc. International conference of CAD/CG 95, Wuhan, China 1995. 277
J. Liu and Z. Ou, Method and implementation of checking over-constraint and under-constraint in 2D parametric CAD, Journal of Dalian University of Technology, 38(5), 1998. 280
J. Liu, Intelligent Parametric CAD Technique Based on Flexible Relational Geometry Model, Ph.D. Dissertation, Dalian University of Technology, 1996. 276, 277, 280
Z. Ou, J. Liu and B. Yuan, Parametric CAD based on relation model, Proceedings of the 3rd International Conference on Computer Integrated Manufacturing (ICCIM’95), World Scientific Publishing Co., Singapore, 1995. 275, 276, 277, 280
Z. Ou, J. Liu and J. Liu, Analysis and simulation expert system of planar linkage mechanism, China Journal of Computer-Aided Design and Computer Graphics, 7(1), 1995. 275, 276, 280
A. Verroust, F. Schonek and D. Roller, Rule-oriented method for parameterized computer aided design, Computer-Aided Design, 24(10), 1992. 275, 280
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ou, Z., Liu, J. (1999). Variant Geometry Analysis and Synthesis in Mechanical CAD. In: Automated Deduction in Geometry. ADG 1998. Lecture Notes in Computer Science(), vol 1669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47997-X_14
Download citation
DOI: https://doi.org/10.1007/3-540-47997-X_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66672-1
Online ISBN: 978-3-540-47997-0
eBook Packages: Springer Book Archive