mixture - Simplex Lattice Designs {qsm} m+1 equally spaced...

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Unformatted text preview: Simplex Lattice Designs {qsm} m+1 equally spaced mines frnm {1 t0 1 Xi = Elm-1, 2!:11, . . ., I {3, 2} $133233} [1, 0, 0) (fl, 1, U} {0, 0,1) (1:2, 1:2, 0) (1x2, 0, 1m) {0, 1m, 1:2} {3: 3} (XI: 32-.- Es) (1, u, 0) (11,1, 0) (o, a, 1) [25, M3, {1} ms, 0, U3) (1:3, 25, 0} {15,1}, 23} (1:3, 1:3, 1:3) (0, 2:3, 1:3) (0, 1:3, 2:3) Number 0f daign points in {q, 111} shaneK-Iatfice N= 131+ [11- 1)H{m!{q-I)1) CORNELL: Page 32 Section 2.6: WEE GOWON'ENT SIMPLEX Three canstituents = pfiljrethj'iefle (XI), palysryrene (X2), and peiypropytene 133% were blended tagether and the resulting fiber spun to farm yer—n fur draperies. Only pure intends and binary blends are stuflied in this exfimgle. The respnnse at interest is the thread elengatien of the yarn, measured in Magi-ems: af farce applied. hi: Response in pure mixture hij: Measure of nonlinear blending hijk: Allow fer asymmetry NOTE: large saiues cf the quadratic and cubic ccefficients tic not mean there are large effects. This is because the scaling cf the 335 is frern i} ta 1. Term Max. cf Variable Max. Effect biXi xi = 1 ' - 1 hi tiinin Xin=Elfljl£1f23I 1M hij hiijinXk $3ij = {NE-HUSHHS} MET hijk T‘WD Component Mixture Response Functions Yarn Elongation Y = 11.1731 + 9.4112 +16.4X3 e 19.0X1X2 + 11.431X3 - 9.6X2X3 “'52: kt] ._ :._ be e 111 * b2 IComponent 3 is best single ingredient, followed by component i and then component 2. 1:12 e D 1113 =' *1 The binary blends of components 1 and 2, and components 1 and 3, have binary synergistic effects. The elongation of these blends is greater than would he expected by simply' averaging the elongation 1[values of the pure components. 1 1133 '1 [l A blend of components 2 and 3 produced yarn whose elongation is lower than the average of the pure components. 'h' r 4:"wa a ct... J gm; .W _ ...
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This note was uploaded on 08/27/2011 for the course EIN 4905 taught by Professor Staff during the Spring '08 term at University of Florida.

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mixture - Simplex Lattice Designs {qsm} m+1 equally spaced...

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