c effect of tolerancing on the relative positions of

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Unformatted text preview: ave implemented the relative position computation and assembly graph data structure using MATLAB, and ran it on several examples of assemblies. To illustrate, we describe the results we obtained on the assembly in Figure 1. The input consists of N=7 parts, m=58 variational parameters. The maximum part complexity is n=14, maximal path length r=7 (from P6 to P7 and vice versa, including cycle parts), and maximal number of local parameters q=3. The CPU time to compute the sensitivity matrix of all the parts relative to P1 was 1.37 seconds on a Pentium IV 2.4GHz with 512 MB RAM. Figure 4(a) shows an instance of the mechanism when only six of the variational parameters are allowed to vary within ±1mm tolerance intervals (about 1% from the average feature length in the assembly). Even though the nominal horizontal clearance between P4 and P7 is of 20mm and four of the vertices translate vertically, the instance represents an infeasible assembly because the parts overlap. Even with smaller t...
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