Diseño Hexagonal Parcial
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FACTORES SIM BO LO N IV EL 1 2 AERO FLA T 25 (g/TM S) X1 20 4.5 AERO FLA T 242,(g/TM S) X2 9.5 11.25 X1= AERO FLA T 25 12.25 X2= AERO FLA T 242,( 10.375 7.75 0.875 X1 X2 X1 X2 1 1.000 0.000 4.500 10.375 2 0.500 0.866 8.375 11.133 3 -0.500 0.866 16.125 11.133 4 -1.000 0.000 20.000 10.375 5 -0.500 -0.866 16.125 9.617 6 0.500 -0.866 8.375 9.617 7 0.000 0.000 12.250 10.375 8 0.000 0.000 12.250 10.375 9 0.000 0.000 12.250 10.375 N Y X° X1 X2 (X1)2 (X2)2 X1X2 (X1)3 (X1)(X2)2 (X1)2(X2) (X2)3 (X1)4 X1)2 X2)2 (X2)4 X1X2)3 X1)3(X2 1 74.17 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 2 74.31 1 0.5 0.866 0.25 0.749956 0.433 0.125 0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 0.32473095 0.10825 3 79.25 1 -0.5 0.866 0.25 0.749956 -0.433 -0.125 -0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.10825 4 80.53 1 -1 0 1 0 0 -1 0 0 0 1 0 0 0 0 5 80.58 1 -0.5 -0.866 0.25 0.749956 0.433 -0.125 -0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 0.32473095 0.10825 6 80.94 1 0.5 -0.866 0.25 0.749956 -0.433 0.125 0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.10825 7 78.00 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 82.21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 81.45 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 b0 b1 b2 b11 b22 b12 Y 9 0 0 3 2.999824 0 711.44 0 3 0 0 0 0 -8.65 0 0 2.999824 0 0 0 -6.89336 3 0 0 2.25 0.749956 0 233.47 3 0 0 0.74996 2.249736 0 236.296136 0 0 0 0 0 0.749956 -2.2949 b1 = -2.88333333 b2 = -2.29792148 b12 = -3.06004619 b0 b11 b22 Y 9 3 2.99982 711.44 3 2.25 0.74996 233.47 2.999824 0.749956 2.24974 236.2961365 0.333333333 -0.3333333 -0.33335 -0.33333333 0.83333333 0.16668 -0.33335289 0.16667645 0.83343 b0 = 80.55333333 b11 = -3.20333333 b12 = -1.31007686 E L M O D E LO CO DIFICA DO ES: Y = 80.55 + -2.88 X1 + -2.30 X2 + -3.20 (X1)2 + -1.31 (X2)2 + -3.06 X1X2 N Y CALC Y O BS CA L-O BS E (CAL-O B S)2 1 80.23 74.17 6.06 36.76 2 79.55 74.31 5.24 27.42 3 74.01 79.25 -5.24 27.42 4 74.47 80.53 -6.06 36.76 5 80.64 80.58 0.06 0.00 6 80.88 80.94 -0.06 0.00 7 80.55 78.00 2.55 6.52 8 80.55 82.21 -1.66 2.74 9 80.55 81.45 -0.90 0.80 RESIDUAL DEBIDO A FALTA DE AJUSTE Y AL ERRO R E XP E R IM E N TA L: 138.45 ERRO R SUM A DE CUADRADO S: 10.07 A N A LIS IS D E V A R IA N ZA ==================================== G .L. S ^2 (VA RIA NZA ) 3 G .L.E R R O R TO TAL 138.45 3 46.1498222 2 G .L.E R R O R E XP E R IM E N TA L 10.06807 2 5.03403333 1 G .L.E R R O R PO R FALTA DE AJUSTE 128.3814 1 128.3814 ==================================== F CALC= S^2 (FA LTA D E A JU S TE ) = 128.3814 25.5026917 S ^2 (E R R O R E XP E R IM ENTAL) 5.034033333 C A LC 25.50269168 TA B LA 18.513 (P A R A 95% CO N FID E NC IA ,P A R A 1 Y 2 G .L.) S IF(TA B LAS )>F(C A LC )E L AJU S TE D E L M O DELO ES VALEDERO O PTIM IZANDO E L SIS TEM A PARA LA ECUACIO N: Y = 80.55333333 + -2.88333 X1 + -2.297921478 X2 + -3.20333333 (X1)2 + -1.31007686 (X2)2 + -3.06004619 X1X2 D ER IV A N D O PARCIALM ENTE Y CO N RESPECTO A X1 dY -------= -2.88333333 + 2 x -3.203333333 X1 + -3.06004619 X2 = 0 (I) dX1 D ER IV A N D O PARCIALM ENTE Y CO N RESPECTO A X2 dY -------= -2.29792148 + 2 x -1.310076858 X2 + -3.06004619 X1 = 0 (II) dX2 RESO LV IENDO (I)Y (II) -6.4066667 -3.06005 2.883333333 -3.0600462 -2.62015 2.297921478 19.6046959 9.36388 -8.823133179 19.6046959 16.7865 -14.72201694 0 -7.42257 5.898883757 X2 = -0.7947227 X1 = -0.0704649 AERO OPTIM O = 11.7039 VALO RES EXPERIM ENTALES EN LA EVALU AC IO N D E D O S IFIC AC IO N D E C OLECTORE TABLA DE DISCREPANCIA CALCULO DE LAS ECUACIO NES NO RM ALES (TERM INO S) CO NSTANTES PO R CALCULAR CALCULO DE LAS CO NSTANTES DE LO S CO EFIC IEN TES DETERM INAC IO N DE CO EFICIENTES DEL M O D ELO RESPUESTA M A TRIZ D E V A R IA B LE S IN D E P E N D IE N TE S VALO RES DE DISEÑO
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Transcript of Diseño Hexagonal Parcial
FACTORES SIMBOLO NIVEL1 2
AEROFLAT 25 (g/TMS) X1 20 4.5AEROFLAT 242,(g/TMS) X2 9.5 11.25
X1= AEROFLAT 25 (g/TMS)12.25 X2= AEROFLAT 242,(g/TMS)10.3757.75 0.875
X1 X2 X1 X2
1 1.000 0.000 4.500 10.3752 0.500 0.866 8.375 11.1333 -0.500 0.866 16.125 11.1334 -1.000 0.000 20.000 10.3755 -0.500 -0.866 16.125 9.6176 0.500 -0.866 8.375 9.6177 0.000 0.000 12.250 10.3758 0.000 0.000 12.250 10.3759 0.000 0.000 12.250 10.375
NY X° X1 X2 (X1)2 (X2)2 X1X2 (X1)3 (X1)(X2)2 (X1)2(X2) (X2)3 (X1)4 X1)2 X2)2 (X2)4 X1X2)3 X1)3(X2
1 74.17 1 1 0 1 0 0 1 0 0 0 1 0 0 0 02 74.31 1 0.5 0.866 0.25 0.749956 0.433 0.125 0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 0.32473095 0.108253 79.25 1 -0.5 0.866 0.25 0.749956 -0.433 -0.125 -0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.108254 80.53 1 -1 0 1 0 0 -1 0 0 0 1 0 0 0 05 80.58 1 -0.5 -0.866 0.25 0.749956 0.433 -0.125 -0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 0.32473095 0.108256 80.94 1 0.5 -0.866 0.25 0.749956 -0.433 0.125 0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.108257 78.00 1 0 0 0 0 0 0 0 0 0 0 0 0 0 08 82.21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 09 81.45 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
b0 b1 b2 b11 b22 b12 Y9 0 0 3 2.999824 0 711.440 3 0 0 0 0 -8.650 0 2.999824 0 0 0 -6.893363 0 0 2.25 0.749956 0 233.473 0 0 0.74996 2.249736 0 236.2961360 0 0 0 0 0.749956 -2.2949
b1 = -2.88333333b2 = -2.29792148b12 = -3.06004619
b0 b11 b22 Y9 3 2.99982 711.443 2.25 0.74996 233.47
2.999824 0.749956 2.24974 236.2961365
0.333333333 -0.3333333 -0.33335-0.33333333 0.83333333 0.16668-0.33335289 0.16667645 0.83343
b0 = 80.55333333b11 = -3.20333333b12 = -1.31007686
EL MODELO CODIFICADO ES:
Y = 80.55 + -2.88 X1 + -2.30 X2 + -3.20 (X1)2 + -1.31 (X2)2 + -3.06 X1X2
N Y CALC Y OBS CAL-OBS E(CAL-OBS)21 80.23 74.17 6.06 36.762 79.55 74.31 5.24 27.423 74.01 79.25 -5.24 27.424 74.47 80.53 -6.06 36.765 80.64 80.58 0.06 0.006 80.88 80.94 -0.06 0.007 80.55 78.00 2.55 6.528 80.55 82.21 -1.66 2.749 80.55 81.45 -0.90 0.80
RESIDUAL DEBIDO A FALTA DE AJUSTEY AL ERROR EXPERIMENTAL: 138.45
ERROR SUMA DE CUADRADOS: 10.07
ANALISIS DE VARIANZA==================================================================
G.L. S^2 (VARIANZA)3 G.L. ERROR TOTAL 138.45 3 46.14982222 G.L. ERROR EXPERIMENTAL 10.06807 2 5.034033331 G.L. ERROR POR FALTA DE AJUSTE 128.3814 1 128.3814
==================================================================
F CALC= S^2 (FALTA DE AJUSTE) = 128.3814 25.5026917S^2 (ERROR EXPERIMENTAL) 5.034033333
F CALC =25.50269168
F TABLAS= 18.513 (PARA 95% CONFIDENCIA, PARA 1 Y 2 G.L.)
SI F(TABLAS)>F(CALC) EL AJUSTE DEL MODELO ES VALEDERO
OPTIMIZANDO EL SISTEMAPARA LA ECUACION:
Y = 80.55333333 + -2.88333 X1 + -2.297921478 X2 + -3.20333333 (X1)2 + -1.31007686 (X2)2 + -3.06004619 X1X2
DERIVANDO PARCIALMENTE Y CON RESPECTO A X1
dY------- = -2.88333333 + 2 x -3.203333333 X1 + -3.06004619 X2 = 0 (I)
dX1
DERIVANDO PARCIALMENTE Y CON RESPECTO A X2
dY------- = -2.29792148 + 2 x -1.310076858 X2 + -3.06004619 X1 = 0 (II)
dX2
RESOLVIENDO (I) Y (II)
-6.4066667 -3.06005 2.883333333-3.0600462 -2.62015 2.297921478
19.6046959 9.36388 -8.82313317919.6046959 16.7865 -14.72201694
0 -7.42257 5.898883757
X2 = -0.7947227
X1 = -0.0704649
AEROFLAT 25 (g/TMS)OPTIMO = 11.7039
VALORES EXPERIMENTALES
EN LA EVALUACION DE DOSIFICACION DE COLECTORES
TABLA DE DISCREPANCIA
CALCULO DE LAS ECUACIONES NORMALES (TERMINOS)
CONSTANTES POR CALCULAR
CALCULO DE LAS CONSTANTES DE LOS COEFICIENTES
DETERMINACION DE COEFICIENTES DEL MODELO
RESPUESTA MATRIZ DE VARIABLES INDEPENDIENTES
VALORES DE DISEÑO
