A new algorithm for form tolerance evaluation

Author

Gadallah, M.H. ; El Maraghy, H.A.

Author_Institution

Dept. of Mech. Eng., McMaster Univ., Hamilton, Ont., Canada

fYear

1994

fDate

10-12 Oct 1994

Firstpage

286

Lastpage

291

Abstract

A new algorithm for form tolerance evaluation has been developed. Evaluation of the minimum tolerance zone is formulated as an optimization problem following the definitions of geometric tolerances in the current ANSI standards. The algorithm utilizes the experimental optimization techniques and the combinatorial nature of orthogonal arrays to plan the experimentation and evaluate the minimum tolerance zone. The approach is applied to 2-dimensional features tolerances such as straightness and circularity (roundness) and 3-dimensional features such as flatness. The obtained results are compared with other approaches using the least square method the constrained optimization techniques and the convex hull approach

Keywords

ANSI standards; combinatorial mathematics; optimisation; tolerance analysis; 3-dimensional features; ANSI standards; circularity; constrained optimization techniques; convex hull approach; flatness; form tolerance evaluation; geometric tolerances; least square method; minimum tolerance zone; optimization problem; orthogonal arrays; roundness; straightness; Algorithm design and analysis; Constraint optimization; Coordinate measuring machines; Design methodology; Gradient methods; Least squares methods; Manufacturing processes; Mechanical engineering; Monte Carlo methods; Spirals;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Integrated Manufacturing and Automation Technology, 1994., Proceedings of the Fourth International Conference on

Conference_Location

Troy, NY

Print_ISBN

0-8186-6510-6

Type

conf

DOI

10.1109/CIMAT.1994.389059

Filename

389059