Introduction to Optimum Design phần 2 pdf

... ++()]1 2 11 1 2 121 2 1 1 21 2 1 22 2 2 22 11 2 1 2 1 2 Fpxxij i jjninx()===ÂÂ1 2 11Fxxxxxxxxxx()=+ + + + +1 2 2 2 3 2 12 23 31 23 2 2 296 INTRODUCTION TO OPTIMUM DESIGN Since ... xxxxxxxx 21 21 62 225 22 62 225 1 2 3 12 3 123 123 A = -ÈÎÍÍÍ˘˚˙˙˙ 21 21 62 225 ∂∂∂=∂∂∂=-∂∂= 2 31 2 32 23 2 225 FxxFxxFx,,∂∂∂=∂∂=-∂∂∂=- 2 21 2 2 2 2 23 16 2 FxxFxFxx,,∂∂=∂∂∂=∂∂∂= 2 1 2 2 12 213 21 2FxFxxFxx,,∂∂=++∂∂=- ... 2 FxxFxFxx,,∂∂=∂∂∂=∂∂∂= 2 1 2 2 12 213 21 2FxFxxFxx,,∂∂=++∂∂=- -∂∂=-+Fxxx xFxxxxFxxxx1 12 3 2 123 3 123 22 62 225 ;;F x xx xx x xx xx()=++ +()1 2 22 4 64 51 2 12 13 2 2 23 3 2 given...

Introduction to Optimum Design phần 1 pdf

... (m/s 2 ) 0.3048*inch/second 2 (in/s 2 ) meter/second 2 (m/s 2 ) 0. 025 4*Areafoot 2 (ft 2 ) meter 2 (m 2 ) 0.0 929 0304*inch 2 (in 2 ) meter 2 (m 2 ) 6.4516 E–04*Bending moment or torquepound ... Newton/meter 2 (N/m 2 or Pa) 101, 325 *one bar (b) Newton/meter 2 (N/m 2 or Pa) 100,000*pound/foot 2 (lbf/ft 2 ) Newton/meter 2 (N/m 2 or Pa) 47.88 026 pound/inch 2 (lbf/in 2 or psi) Newton/meter 2 (N/m 2 or ... Design 20 2. 4 Saw Mill Operation 22 2. 5 Design of a Two-Bar Bracket 24 2. 6 Design of a Cabinet 30 2. 6.1 Formulation 1 for Cabinet Design 30 2. 6 .2 Formulation 2 for Cabinet Design 31 2. 6.3 Formulation...

Introduction to Optimum Design phần 4 pdf

... 4x 2 subject to 2x1+ x 2 ≥ 32x1+ 10x 2 £ 18x1, x 2 ≥ 06.67 Maximize z = x1+ 4x 2 subject to x1+ 2x 2 £ 52x1+ x 2 = 4 25 4 INTRODUCTION TO OPTIMUM DESIGN 23 2 INTRODUCTION TO OPTIMUM DESIGN 1. ... sign6 .28 Minimize f = 9x1+ 2x 2 + 3x3subject to -2x1- x 2 + 3x3£-5x1- 2x 2 + 2x3≥ -2 x1, x 2 , x3≥ 06 .29 Maximize z = 4x1+ 2x 2 subject to -2x1+ x 2 £ 4x1+ 2x 2 ≥ 2 x1, ... paper.6 .21 Maximize z = x1+ 4x 2 subject to x1+ 2x 2 £ 52x1+ x 2 = 4x1- x 2 ≥ 1x1, x 2 ≥ 06 .22 Maximize z =-10x1- 18x 2 subject to x1- 3x 2 £-32x1+ 2x 2 ≥ 5x1, x 2 ≥ 06 .23 ...

INTRODUCTION TO ALGORITHMS 3rd phần 2 pdf

... (k) 123 478910141610 2 13478916141 23 47891614103 21 987410 14 164 23 987110 14 16837 421 91614107439 821 10 14 16983 21 7416141010893174161 42 14810397416 12 1614 1039781 42 AiiiiiiiiiFigure ... candidate we wish to hire.158 Chapter 6 Heapsort1 23 456789101 23 456789101 23 456789101 23 456789101 23 456789101 23 45678910413 29 1014 8 7(a)1641 23 16 9 10 14 8 7413 29 1014 8 ... isPrfAikgD 1 =2 k: (5.8)For k D 2 dlg ne,PrfAi;2dlg negD 1 =2 2dlg neÄ 1 =2 2 lg nD 1=n 2 ;and thus the probability that a streak of heads of length at least 2 dlg nebegins...

Introduction to Optimum Design phần 3 pptx

... 1 2 1 2 1 24 000=- - + + = ≥ ≥;,∂∂= =Lxxuu 2 2 12 22 20∂∂= =Lxxuu11 12 222 0Lx x x x u x x s u x x s=+- - ++ ++()+ ++()1 2 2 2 12 1 12 1 2 21 2 2 2 222 2 4 24 43 2 10.640 .20 0.011. 32 123 4CABCost ... x 2 2+ 4x1x 2 4.14 F(x) = x1 2 - x 2 2+ x3 2 - 2x 2 x34.15 F(x) = x1 2 - 2x1x 2 + 2x 2 24.16 F(x) = x1 2 - x1x 2 - x 2 24.17 F(x) = x1 2 + 2x1x3- 2x 2 2+ 4x3 2 - 2x 2 x34.18 ... x1 2 + 4x1 2 x 2 + 2x1x3- 7x 2 2- 6x 2 x3+ 5x3 2 4.10 F(x) = 2x1 2 + 2x 2 2- 5x1x 2 4.11 F(x) = x1 2 + x 2 2+ 3x1x 2 4. 12 F(x) = 3x1 2 + x 2 2- x1x 2 4.13 F(x) = x1 2 - x 2 2+...

Introduction to Optimum Design phần 5 pptx

... x 2 ) = 12. 096x 2 1+ 21 .504x 2 2- x 2 ; starting design (1, 2) 8.56 f(x1, x 2 ) = 25 x 2 1+ 20 x 2 2- 2x1- x 2 ; starting design (3, 1)8.57 f(x1, x 2 , x3) = x 2 1+ 2x 2 2+ 2x 2 3+ ... calculations).8 .2 f(x) = 3x 2 1+ 2x1+ 2x 2 2+ 7; d = (-1, 1) at x = (2, 1)8.3 f(x) = x 2 1+ x 2 2- 2x1- 2x 2 + 4; d = (2, 1) at x = (1, 1)8.4 f(x) = x 2 1+ 2x 2 2+ 2x 2 3+ 2x1x 2 + 2x 2 x3; ... 6x 2 - 4x3- 2x 2 1+ 2x 2 2+ x 2 3+ 2x1x 2 + 2x 2 x3; d = ( -2, 2, 0) at x =(1, 1, 1)8.14 f(x) = (x1- 1) 2 + (x 2 - 2) 2 + (x3- 3) 2 + (x4- 4) 2 ; d = (2, -2, 2, -2) at x = (2, ...

Introduction to Optimum Design phần 6 potx

... =LdduuLdduu11 12 2 21 311301130,Ldd ddudd sud s ud s=- -()++()++-()+ÊËˆ¯+ +()+ +() 12 1 2 2 2 1 12 1 2 21 2 2 32 3 2 0513 2 11.3 82 INTRODUCTION TO OPTIMUM DESIGN (d)(e)(f)(g)(h)When ... x 2 ≥ 010.38 Minimize f(x) = 2x 2 1+ 6x1x 2 + 9x 2 2- 18x1+ 9x 2 subject to x1- 2x 2 £ 104x1- 3x 2 £ 20 x1, x 2 ≥ 010.39 Minimize f(x) = x 2 1+ x 2 2- 2x1- 2x 2 subject to ... sizedetermination.ad d d3 2 1 618 1 618 0 1 1 618 0 1 2 618 0 1 0 523 6=+ + = +()+()= F 02 02 02 11 416 3 24 28 0 0 4 022 21 1 82 ,, ,,. , . ,=+ = +()()=fRVV010 0 25 94 0 4 022 46 70 0 618 0 4 022 ,max ;...

Introduction to Optimum Design phần 7 pot

... 0.00000E+00 1.67 623 E- 02 1.47352E- 02 5.5455E- 02 4. 323 0E-01 9.0837E+008 CCC 3.53358E- 02 1.67 623 E- 02 1.19085E- 02 5 .26 92E- 02 3.8896E-01 9.0 828 E+009 CCC 4 .24 950E-04 1.67 623 E- 02 1 .27 298E- 02 5.3485E- 02 4.0151E-01 ... ht tdtht tdt htdh ttd t h tdh t 24 4 2 22 2 12 096 22 2 2 22 2 .∂∂=-()-()+-() ()-()+-()=Jhtd t h t d h t td t h tdh t 422 2 0 864 22 2 2 .∂∂=-()-()+-() ()-()+-()=Jdtd ... calculations:IJAGJEI=-[]==()()()[]==()()==+()()=+()=+()()=1 12 2 5 2 3 0 923 2148 2 0 1 2 4 2 4 1 3 824 24 24 5761 154 07 1 3 824 1 5953 073 0 07 0 923 2 2 769644 22 .. . . . .inininEEEE44 2 ++()+=+ÊËˆ¯=+()07441 5953 2 7696100...

Introduction to Optimum Design phần 8 pot

... ,Œ{}Œ{}0 30 0 31 0 32 2 49 2 50 10 12 14 98 100mmmhb t twf, . , . , . , , . , . ; , , , , , ,Œ{}Œ{}0 30 0 31 0 32 2 49 2 50 10 12 14 98 100mmm 528 INTRODUCTION TO OPTIMUM DESIGN 15.4 Sequential ... , , . , . ; , , , , ,mmmdt00 020 0 022 0 024 0 48 0 50 5 7 9 23 25 Œ{}Œ{}. , . , . , , . , . ; , , , , ,mmm540 INTRODUCTION TO OPTIMUM DESIGN taken is to stress the basic concepts of the ... 1300 156 3.830W36 ¥ 28 0 82. 40 36. 52 0.885 16.595 1.570 18900 1030 15.10 120 0 144 3.810W36 ¥ 26 0 76.50 36 .26 0.840 16.550 1.440 17300 953 15.00 1090 1 32 3.780W36 ¥ 24 5 72. 10 36.08 0.800 16.510...

Introduction to Optimum Design phần 9 ppsx

... 21 2 11 2 21 111 22 12 21=--=--,aa aa x ab ab11 22 12 21 2 11 2 21 1-()=-aa aa x ab ab11 22 12 21 1 22 1 12 2-()=-aa aaaa aaxxabab11 22 12 22 12 21 12 22 1 2 22 1 12 2ÈÎÍ˘˚˙ÈÎÍ˘˚˙=ÈÎÍ˘˚˙aaaaxxbb11 ... cxxxxcxx413 2 2513 2 36 12 27 12 3 12 813 2 2 8673 20 00. exp+-+-+ +()+bxx bx cx cx x cxx714 28 2 2 12 3 22 4 23 1 2 2 2 28 106 1.fbx bx bx bx bxx bx xx()=- + + - + - +75 19611 21 3314 42 5 12 621 2 .xx1510-=xxx13 2 410-+-=xxx 12 23330++-=f ... 621 2 .xx1510-=xxx13 2 410-+-=xxx 12 23330++-=f xxxxxxxxx()=-()+-()+-()+-()1 2 2 2 2 2 3 2 3 2 4 2 4 2 5 2 0 1 100 0 0 25 6 0 0 5 12 3., ,.££ ££ ££xx xuiii=+-()[] =25 50 0 01 1 99 23 ln...

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