These methods compute the placement of a single

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Unformatted text preview: amework is based on our general parametric tolerancing model for planar parts. We present six types of relative position constraints designed to model all types of contact and clearance specifications between features of two parts. To model the relative part position variation in the entire assembly, we introduce the assembly graph, a generalization of Latombe’s relation graph that includes cycles, toleranced parts, and three degrees of freedom. We show how to compute the sensitivity matrices of each vertex from the pairwise relative position constraints and the assembly graph. These matrices serve to compute the tolerance envelopes bounding the areas occupied by the parts under all possible assembly instances. Keywords: part models, geometric constraint solving, tolerance envelopes. 1. INTRODUCTION Manufacturing and assembly processes are inherently imprecise, producing parts that vary in size and form. Tolerance specifications allow designers to control the quality of the production and to manufacture parts interchangeably. Tolerancing methods have been developed and incorporated into most modern CA...
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This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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