Abstract

Geometrical errors by manufacturing processes have been evaluated by the maximum width of tolerance zones which envelop the actual features. Details of error within such zones should however be investigated when the designer studies relation between errors and functionality of a product and compares and examines manufacturing methods to realize high accuracy for machined surfaces. A new method is proposed for the evaluation of form errors using a series of points such as measuring points on the product surfaces. This evaluation consists of two parts: 1. Form error features which consist of error models (Bezier Template) and error conditions, 2. Segmentation by fitting of form error features using the Simulated Annealing Method. Form error models are defined as a series of quadric or cubic Bezier curves. A set of Bezier control points can be used for classifying or characterizing typical geometrical errors. Segmentation and fitting of these form error features are realized by the Simulated Annealing Method, a statistical optimization method which can be used to search for the global minimum solution of a combinatrial problem. Our method allows the designer to estimate the effects of errors on functionality by using fitting Form Error Features as a substitute. This leads to functional tolerancing.

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