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Unformatted text preview: tz1S2 ⎪O ⎭ 1S2 ,X1S2 ,Y 2 ,Z1S2 1S Each connection generates positioning link parameters: Ultx1S2 ⎫ ⎪ Ulty1S2 ⎬ ltz1S2 ⎪O ,X ,Y ,Z ⎭ 1S2 1S2 1S2 1S2 Using the formula TSj,P = TSj,HkSj + THkSj,Pi − TP,Pi the positioning deviation due to one set of connection is determined as: ⎧ lrx1S2 + rx1S2 ⎪ TS2,P = ⎨ Urz1S2 ⎪−lry1S2 − ry1S2 ⎩ −20lry1S2 − 20ry1S2 − 25Urz1S2 + Utx1S2 ⎫ ⎪ 25lrx1S2 + 40lry1S2 + ltz1S2 + 25rx1S2 + 40ry1S2 + tz1S2 ⎬ ⎪ −20lrx1S2 − 20rx1S2 + 40Urz1S2 − Uty1S2 ⎭ The positioning is obtain by 3 sets of connection. So we obtain: • 3 expressions of positioning deviation of the part 186 F. Villeneuve and F. Vignat • 18 link parameters of which 9 are undetermined Unifying these 3 positioning deviations gives 12 equations. ⎛0 ⎜1 ⎜0 ⎜ −25 ⎜ ⎜0 ⎜ 40 ⎜0 ⎜1 ⎜0 ⎜ −25 ⎜0 ⎜ ⎝ 40 lrx1S2 − 0.707lry 2S2 + rx1S2 + 0.707ry 2S2 ⎛ ⎞ 0 0 −0.707 0 0 0 0 0⎞ ⎟ −0.707lry 2S2 − 0.707ry 2S2 0 0 −0.707 0 0 0 0 0 ⎟ ⎛ Urz ⎞ ⎜ ⎟ lrx 2S2 − lry1S2 + rx 2S2 − ry1S2...
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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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