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144 Reverse Engineering – Recent Advances and Applications max(RFDF)≤ TPOSi (19) max(RO)≤ TPOSi (20) Mutual orientation deviations of the secondary and/or tertiary datums, RODF, in a valid DRF should also conform with the position tolerance of equation (16), max(RFDF )≤ k·TPOSi , max(RO)≤ k·TPOSi max(RODF)≤ k·TPOSi , k ≥1 where k is a weight coefficient depending on the accuracy level of the case. A set of Candidate DRFs is thus created, DCAN (i), that is addressed to each i member (i=1,…9) of the RCAN set. Sets of Candidate Theoretical Dimensions, [(CCAN (ij)X, CCAN (ij)Y), i=1,2,…9, j=1,2,…,n], which locate the RE feature axis of symmetry with reference to every one of the n candidate DRF (i) j of the DCAN (i) set are generated at the next stage of the analysis. Measured, from all the available RE reference parts, axis location coordinates are at first integrated into sets, [CCAN (ij)XM, CCAN (ij)YM]. Sets of Candidate Theoretical Dimensions are then produced in successive steps starting from those calculated from the integral part of the difference between the minimum measured coordinates and the size of the position tolerance, TPOSi, X (ij) 1 = int[min(CCAN (ij)XM ) – TPOSi],Y (ij) 1 = int[min(CCAN (ij)YM) – TPOSi] (22) Following members of the CCAN (ij)X, CCAN (ij)Y sets are calculated by an incremental increase δ of the theoretical dimensions X (ij) 1, Y (ij) 1 , X (ij) 2 = X (ij) 1 + δ, Y (ij) 2 = Y (ij) 1 + δ X (ij) 3 = X (ij) 2 + δ, Y (ij) 3 = Y (ij) 2 + δ …………… …………… X (ij) p = X (ij) (p-1) + δ, Y (ij) q = Y (ij) (q-1) + δ where as upper limit is taken that of the maximum measured X (ij) M, Y (ij) M coordinates plus the position tolerance TPOSi, (21) (23) X (ij) p ≤ max(CP (ij)XM)+ TPOSi, Y (ij) q ≤ max(CP (ij)YM)+ TPOSi (24) with the populations p, q of the produced CCAN (ij)X and CCAN (ij)Y sets of candidate theoretical dimensions not necessarily equal. In the case study that is presented δ=0.05mm. Other δvalues can be used as well. 4.3 Sets of suggested position tolerances Sets of Suggested DFRs that are produced in step (b), DSG (i), are qualified as subgroups of the sets of Candidate DFRs, DCAN (i), in accordance with their conformance with the measured location coordinates and the application or not of the Maximum or Least Material Conditions to the RE-feature size or to the RE-Datum size. In conjunction with equation (16), qualification criterion for the Suggested DFR’s, DRF (i) j j=1,2,…, n, is, Figure 4(a), max{ΔX (ij) M, ΔΥ (ij) M} ≤ TPOSi (25)
A Systematic Approach for Geometrical and Dimensional Tolerancing in Reverse Engineering (a) (b) Fig. 4. Qualification conditions for suggested DRFs (Kaisarlis et al., 2007) where, ΔX (ij) M = max(CCAN (ij)XM)– min(CCAN (ij)XM) ΔΥ (ij) M= max(CCAN (ij)YM)– min(CCAN (ij)YM) (26) In case constraint (25) is not satisfied, a DRF (i) j can only be further considered, when Maximum or Least Material Conditions are applied to RE-feature size, Figure 4(b), 145 max{ΔX (ij) M, ΔΥ (ij) M} ≤ TPOSi_MAX (27) In case no member of a DCAN (i) (i=1,2,…9) set satisfies either constraint (25) or constraint (27) the relevant TPOSi is excluded from the set of Suggested Position Tolerance Sizes, RSG. Let r be the number of the available RE-parts. Sets of Suggested Theoretical Dimensions, [CSG (ij)X, CSG (ij)Y], can now be filtered out of the Candidate Theoretical Dimensions through the application of the relationships, (a) (b) Fig. 5. Qualification conditions for suggested theoretical dimensions (Kaisarlis et al., 2007) | X (ij) m – X (ij) TPOSi_MAX Mu | ≤ 2 , |Y (ij) k – Y (ij) Mu | ≤ m=1,2, …,p ; k=1,2,…,q ; u=1,2,…,r TPOSi_MAX 2 and the constraint imposed by the geometry of a position tolerance, Figure 5(a), (28)
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REVERSE ENGINEERING - RECENT ADVANC
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Contents Preface IX Part 1 Software
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Preface Introduction In the recent
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Preface XI and con’s related to t
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Preface XIII the step-by-step appli
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Part 1 Software Reverse Engineering
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4 Reverse Engineering - Recent Adva
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10 Reverse Engineering - Recent Adv
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58 2. Model driven architecture: An
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62 Fig. 1. Model, metamodels and tr
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Integrating Reverse Engineering and
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Part 3 Reverse Engineering in Medic
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238 5. Summary and discussions Reve
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268 Fig. 6. A closed polygon mesh r
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272 3. Results Reverse Engineering
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