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# We obtained 12 different cases see table 2 table 2

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Unformatted text preview: ⋅ σ 2 ' ⋅ (x 3n − x 2n )2 y 1 ⋅ exp− ⋅ + ( 2 2 2 2 y − y1n ) + (x − x 2 n ) + (x − x 3n ) 2 ⋅ (x '− x ) ⋅ (y'− y ) ⋅ (y − y1n ) ⋅ [(x − x 2 n ) + (x − x 3n )] (y − y1n )2 + (x − x 2n )2 + (x − x 3n )2 + (y'− y )2 ⋅ σ 2 ' ⋅ (x 3n − x 2n )2 x 2 2 2 (y − y1n ) + (x − x 2n ) + (x − x 3n ) (3) with σ x' = 2 ⋅ (y − y1n )2 + (x 3n − x 2 n )2 x 3n − x 2n (4) σ y' = (x − x 2n )2 + (x − x 3n )2 x 3n − x 2 n (5) Figure 1. 2-hole plate The probability the i-th hole of the pattern falls inside the location tolerance (tzi) is calculated by solving the following integral: tz i ∫∫ f c' i (x' , y' ) ⋅ dx' ⋅dy' (6) while the probability the pattern of holes falls inside the location tolerance is given by the following product: Position Deviation of a Holes Pattern n ∏ ∫∫ f c' i (x' , y' ) ⋅ dx' ⋅dy' i =1 tz i 205 (7) with n equals to the number of holes constituting the pattern. The optimal locators positioning problem consists in defining the locators’ position for which the pr...
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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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