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Unformatted text preview: hesis problems are usually formulated as non-linear programming models [Chen 2001]. 3. PROPOSED RE-DESIGN APPROACH 3.1 Prior work In previous papers we have presented a tool for deterministic tolerance analysis [Ghie 2004], [Desrochers et al. 2003] which uses an interval arithmetic formulation: [u , u ] [v , v ] [w, w ] [α , α ] [u , u ] β , β [v , v ] δ , δ F E1 [w , w ] = J J J J J J ...... J J J J J J • .......... 1 2 3 4 5 6 F E1 1 2 3 4 5 6 FEN [α , α ] [u , u ] β , β [v , v ] δ , δ FR [w, w ] [α , α ] β , β δ , δ FEN (2) Where: [ u,u ] [ u,u ] [ v,v ] [ v,v ] [ w,w ] [ w ,w ] , [ FEi ]= [ FR ]= [ α ,α ] [ α ,α ] β , β β , β δ ,δ δ ,δ FR FEi : Small displacements torsors associated to some functional requirement (Play, gap, clearance) represented as a [FR] vector or some Functional Element uncertainties (tolerance, kinematic link, ….) also represented as [FE] vectors ; with N representing the number of torsors in a kinematic chain; : Jacobian matrix expressing a geometrical relation between a [FR] ve...
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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.
- Spring '10
- The Land