Representation of geometric variations using matrix

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Unformatted text preview: ilt variations come from tilt of the axis E-F on the arm (limit tE + tF) and are uncoupled to positional variations (limit tM), Tolerance Analysis and Allocation for a Power Saw Assembly 273 the T-Map would be a rhombic prism with height tM and diagonal of base σ4′ σ8′ = tE + tF (Fig. 1(c)). When the offset b is introduced, any misalignments at holes E and F produce an additional lateral displacement of the blade. This skews the prismatic T-Map vertically, as shown in Fig. 5(c) (see [Bhide, et al., 2001]). When these three T-Maps are combined with the Minkowski sum, the accumulation T-Map arises; its size and shape (Fig. 5(d)) are represented with dimensions a and c (eqns (1)) in Fig. 5(e). T-Maps are always convex [Davidson, et al., 2002]. The tolerances in the entire assembly should be adjusted so the accumulation T-Map (Fig. 5(d)) will just fit inside a functional T-Map that represents (i) all the variations in orientation that are acceptable to woodworkers and (ii) the unit-to-unit variations in position acceptab...
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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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