Geometric formulation of orientation tolerances

Author

Gou, J.B. ; Chu, Y.X. ; Wu, H. ; Li, Z.X.

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, Hong Kong

Volume

3

fYear

1998

fDate

16-20 May 1998

Firstpage

2728

Abstract

The rapid proliferation of coordinate measuring machines (CMM) triggered the need for precise and rigorous formulations of each tolerance concept. In this paper, we employ the concept of configuration space of symmetric features to define each type of datum features and orientation tolerances. The establishment of datum features and orientation tolerances are formulated in an linear programming approach. Using properties of Lie groups and Lie algebra, a simple, unified and coordinate free algorithm for datum establishment and orientation tolerance is developed. The results of the algorithm comply to the definitions stipulated in the standard ANSI Y14.5M

Keywords

Lie algebras; Lie groups; computerised instrumentation; linear programming; measurement systems; spatial variables measurement; standards; tolerance analysis; ANSI Y14.5M standard; CMM; LP; Lie algebra; Lie groups; configuration space; coordinate measuring machines; datum features; geometric formulation; linear programming; orientation tolerance; orientation tolerances; symmetric features; ANSI standards; Algebra; Algorithm design and analysis; Coordinate measuring machines; Electric variables measurement; Fasteners; Linear programming; Marine vehicles; Space technology;

fLanguage

English

Publisher

ieee

Conference_Titel

Robotics and Automation, 1998. Proceedings. 1998 IEEE International Conference on

Conference_Location

Leuven

ISSN

1050-4729

Print_ISBN

0-7803-4300-X

Type

conf

DOI

10.1109/ROBOT.1998.680758

Filename

680758