de quy h-2012
TRANSCRIPT
HQG TP H Ch Minh
Trng i hc Bch Khoa
Khoa C Kh
B mn Thit k my Thi QUY HOCH THC NGHIM
Ngy thi: 22-06-2012
Thi gian: 90 pht
c s dng ti liu
Bi 1:
Nghin cu ph thuc cng sut P khi phay vt liu vo vn tc ct v (1m/s ( v ( 4 m/s) v t mi dao ( (12 (m ( ( ( 48 (m). Ma trn quy hoch dng B v kt qu thc nghim cho trong bng sau:
STTGi tr m haGi tr t nhinGi tr cng sut, kW
x0x1x2X1, m/sX2, m/s
1. +++??3,254
2. ++-??0,886
3. +-+??1,586
4. +--??0,474
5. ++10??1,525
6. +-10??0,055
7. +0+1??3,540
8. +0-1??1,080
a) Xc nh cc gi tr t nhin trong ma trn quy hoch
b) Xc nh phng trnh hi quy bc 2 dng m ha
c) Biu din phng trnh dng t nhin v phn tch kt qu
Bi 2
Trnh by s khc nhau gia cc quy hoch dng B, trc giao v quay u. Lp ma trn quy hoch bc 2 trc giao cho trng hp 4 nhn t.
Bi 3:
Quy hoch thc nghim nhn t ring phn
a) Gii thch ti sao s dng quy hoch dng ny
b) Lp ma trn quy hoch thc nghim nhn t ring phn 25-2 vi cc biu thc sinh x4 = x1x2, x5=x2x3
c) Dng tng qut phng trnh hi quy trong trng hp ny
Bi lmBi 1:
a) Xc nh cc gi tr t nhin trong ma trn quy hochSTTGi tr m haGi tr t nhinGi tr cng sut, kW
x0x1x2X1, m/sX2, m/s
9. +++4483,254
10. ++-4480,886
11. +-+1121,586
12. +--1120,474
13. ++104301,525
14. +-101300,055
15. +0+12,5483,540
16. +0-12,5121,080
b) Xc nh phng trnh hi quy bc 2 dng m ha
STTx0x1x2(x1)2(x2)2x1x2y
1+++1113,254
2++-11-10,886
3+-+11-11,586
4+--1110,474
5++101001,525
6+-101000,055
7+0+10103,540
8+0-10101,080
T nhng d liu cho ta thu c:
+ Ma trn X:
;
+Ma trn XT:
;
+Ma trn Y:
;
T y ta thu c:
;
;
V h s B c xc nh theo cng thc:
Trong :
EMBED Equation.DSMT4 ;
Vy ta c:
EMBED Equation.DSMT4
Cui cng ta c h s:
b0 = 1,55, b1 = 0,592, b3 = 0,99; b11 = -0,76; b22 = 0,76, b12 = 0,314
Vy phng trnh bc hai c dng:
Bi 2
Trnh by s khc nhau gia cc quy hoch dng B, trc giao v quay u. Lp ma trn quy hoch bc 2 trc giao cho trng hp 4 nhn t.@ S khc nhau gia cc quy hoch dng B, trc giao v quay u * Quy hoch dng B:-Dng B khng c th nghim tm-Dng B c gi tr im sao trong c cc nhn t c gi tr (( l: -1 v +1, cc gi tr cn li u c gi tr 0* Quy hoch dng quay u: Cc im sao l cc thc nghim m trong c cc nhn t c g tr (( l vi
* Quy hoch trc giao: C tch ca hai ct bt k trong ma trn quy hoch u bng khng
@ Lp ma trn trc giao bc 2 trc giao cho trng hp 4 nhn tN0x0x1x2x3x4x1x2x1x3x1x4x2x3x2x4(x1)2 -0,8(x2)2 -0,8(x3)2 -0,8(x4)2 -0,8y
1+1+1+1+1+1+1+1+1+1+1+0,2+0,2+0,2+0,2y1
2+1-1+1+1+1-1-1-1+1+1+0,2+0,2+0,2+0,2y2
3+1+1-1+1+1-1+1+1-1-1+0,2+0,2+0,2+0,2y3
4+1-1-1+1+1+1-1-1-1-1+0,2+0,2+0,2+0,2y4
5+1+1+1-1+1+1-1+1-1+1+0,2+0,2+0,2+0,2y5
6+1-1+1-1+1-1+1-1-1+1+0,2+0,2+0,2+0,2y6
7+1+1-1-1+1-1-1+1+1-1+0,2+0,2+0,2+0,2y7
8+1-1-1-1+1+1+1-1+1-1+0,2+0,2+0,2+0,2y8
9+1+1+1+1-1+1+1-1+1-1+0,2+0,2+0,2+0,2y9
10+1-1+1+1-1-1-1+1+1-1+0,2+0,2+0,2+0,2y10
11+1+1-1+1-1-1+1-1-1+1+0,2+0,2+0,2+0,2y11
12+1-1-1+1-1+1-1+1-1+1+0,2+0,2+0,2+0,2y12
13+1+1+1-1-1+1-1-1-1-1+0,2+0,2+0,2+0,2y13
14+1-1+1-1-1-1+1+1-1-1+0,2+0,2+0,2+0,2y14
15+1+1-1-1-1-1-1-1+1+1+0,2+0,2+0,2+0,2y15
16+1-1-1-1-1+1+1+10+1+1+0,2+0,2+0,2+0,2y16
17+1+1,414000000001,2-0,8-0,8-0,8y17
18+1-1,414000000001,2-0,8-0,8-0,8y18
19+10+1,4140000000-0,81,2-0,8-0,8y19
20+10-1,4140000000-0,81,2-0,8-0,8y20
21+100+1,414000000-0,8-0,81,2-0,8y21
22+100-1,414000000-0,8-0,81,2-0,8y22
23+1000+1,41400000-0,8-0,8-0,81,2y23
24+1000-1,41400000-0,8-0,8-0,81,2y24
250000000000-0,8-0,8-0,8-0,8y25
(
Bi 3:
Quy hoch thc nghim nhn t ring phn
a) Gii thch ti sao s dng quy hoch dng ny
S dng quy hoch nhn t ring phn v quy hoch hoch dng ny cho php ta gim bt s th nghim so vi nhn t ton phn nhm mc ch gim bt cng sc, thi gian v chi ph trong thc nghim do ta c th loi b bt nhng h s tng tc khng cn thit.
b) Lp ma trn quy hoch thc nghim nhn t ring phn 25-2 vi cc biu thc sinh x4 = x1x2, x5=x2x3
Ma trn quy hoch v kt qu thc nghim cho trong bng sau:
Noxox1x2x3x4
(x1x2)x5
(x2x3)y
1111111y1
21-111-11Y2
311-11-1-1y3
41-1-111-1y4
5111-11-1y5
61-11-1-1-1y6
711-1-1-11y7
81-1-1-111y8
c) Dng tng qut phng trnh hi quy trong trng hp ny
* Biu thc sinh:
x4 = x1x2(1);
x5 = x2x3(2);
* tng phn:
Nhn 2 v (1) cho x4 ta c:1 = x1x2x4(1);
Nhn 2 v (2) cho x5 ta c:1 = x2x3x5 (2);
Ngoi ra ta cn thu c h thng phi hp bng cch nhn theo v hai tng phn trn:
1 = x1x3x4x5 (3)
* Ln lt nhn 2 v biu thc (1) cho:
x1:
x1 = x2x4=> b1 ( (1 + (24
x2:
x2 = x1x4=> b2 ( (2 + (14
x4:
x4 = x1x2=> b4 ( (4 + (12
* Ln lt nhn 2 v biu thc (2) cho:
x2:
x2 = x3x5=> b2 ( (2 + (35
x3:
x3 = x2x5=> b3 ( (3 + (25
x5:
x5 = x2x3=> b5 ( (5 + (23
* Ln lt nhn 2 v biu thc (3) cho:
x2x4:x2x4 = x1x5=> b24 ( (24 + (15
x4x5:x4x5 = x1x3=> b45 ( (45 + (13
Vy phng trnh hi quy c dng:
y = bo + b1x1 + b2x2 + b3x3 + b4 x4 + b5 x5 + b24x2x4 + b45x4x5_1416036313.unknown
_1416375560.unknown
_1416375721.unknown
_1416375885.unknown
_1416379227.unknown
_1416375691.unknown
_1416037333.unknown
_1416036338.unknown
_1416035359.unknown
_1416036180.unknown
_1416036268.unknown
_1416035684.unknown
_1416035160.unknown
_1409558872.unknown