Paper Info
Title
Algebraic reasoning of position uncertainties of parts in an assembly
Abstract
In this paper, an algebraic method is proposed to calculate part position uncertainties in an assembly caused by part shape errors. Shape errors are treated as small expansion displacement and inclination of nominal form features! Possible contacts between assembled partx are synthesized based on the analysis of motion of the parts. Aeeordingly, a system of linear equations dating shape errors and displacements of parts from their nominal positions is obtained. They are algebraically solvti and part position uncertainties zaederived.
Year
DOI
Venue
1991
10.1145/112515.112577
Symposium on Solid Modeling and Applications
Keywords
Field
DocType
position uncertainty,algebraic reasoning,linear equations
Singular point of an algebraic variety,Dimension of an algebraic variety,Mathematical optimization,Function field of an algebraic variety,Algebra,Derived algebraic geometry,Computer science,Differential algebraic geometry,Algebraic function,Algebraic analysis,Real algebraic geometry
Conference
ISBN
Citations 
PageRank 
0-89791-427-9
5
1.02
References 
Authors
2
2
Name
Order
Citations
PageRank
Masatomo Inui1408.20
Fumihiko Kimura2541154.14