Variational Method for Assessment of Toleranced Features View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1998

AUTHORS

Vladimir T. Portman , Roland D. Weill , Victoria G. Shuster

ABSTRACT

A standard analytical presentation for the minimal-zone-based tolerancing is proposed. For this purpose, the form-invariant vector (FIV) of elementary errors is formulated; small deviations of the FIV components leave the predetermined form of the toleranced feature unaltered. Then, the toleranced features are presented in terms of the FIV components, and a set of constraints is presented in terms of the transfer factors for these components. The set of the constraints and the results of the measurements of the real feature enable us to obtain a standard presentation of the linear-programming problem, which is solved with respect to the FIV. A comparison of this solution with the least-mean-square-based assessment is given. Both well-studied cases (accuracy of a plane and a cylinder) and more complicated cases, such as the tolerancing of the helical surfaces, element-by-element analysis of the form accuracy, etc., are considered in order to illustrate the applications of the theoretical results. More... »

PAGES

132-146

Book

TITLE

Geometric Design Tolerancing: Theories, Standards and Applications

ISBN

978-1-4613-7656-9
978-1-4615-5797-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4615-5797-5_10

DOI

http://dx.doi.org/10.1007/978-1-4615-5797-5_10

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031383012


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