Tolerancing algebra for design and manufacturing
Abstract
While the designer is responsible for representing the functional requirements of a product in terms of geometry and tolerance specifications, the process planner is in charge of realizing the given design within the specified tolerances, taking into account the capabilities of the manufacturing processes. The problem of tolerance transfer, which deals with transferring the tolerance requirements from design to manufacturing, is the result of interaction between the product tolerances and the process dispersions. This research proposes a novel framework for tolerance transfer called tolerancing algebra which reflects the semantics of geometric tolerances as well as the characterization of machining processes in terms of their accuracy and error bounds. The tolerancing algebra is defined in a 6-dimensional space, called the deviation space, where the small displacement of a feature is represented as a vector. The basic entities in tolerance transfer, i.e., tolerances and process dispersions, are modeled as the bounded volumes in a deviation space, and then, a set of relevant algebraic operations are defined on those volumes. By defining the fundamental algebraic structure which describes the geometric behavior of the tolerances and process dispersions, the proposed approach aims to be used to state the basic structure of the problems in a systematic way and to provide a solution methodology for various tolerance-related problems with the help of the defined algebra.
Degree
Ph.D.
Advisors
Chang, Purdue University.
Subject Area
Industrial engineering
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