Introduction to Optimum Design phần 5 pptx

Introduction to Optimum Design phần 5 pptx

Introduction to Optimum Design phần 5 pptx

... is always positive. 300 INTRODUCTION TO OPTIMUM DESIGN 322 INTRODUCTION TO OPTIMUM DESIGN FIGURE 9-7 Iteration history for Example 9.7 with Newton’s method. TABLE 9-2 Optimum Solution for Example ... variables: 2, 4, 10 Optimum design variables: -6. 455 0E-10, -5. 8410E-10, 1.3 150 E-10. Optimum cost function value: 6. 852 0E-20. Norm of the gradient at optimum: 3. 05...

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Introduction to Optimum Design phần 3 pptx

Introduction to Optimum Design phần 3 pptx

... Examples 5. 1 and 5. 2 provide an illustration of its use. 176 INTRODUCTION TO OPTIMUM DESIGN TABLE 5- 1 Alternate Form of KKT Necessary Conditions Problem: minimize f(x) subject to h i (x) = 0, i = 1 to ... m i i j j x0,0 x0,0* * ; * * ;1 1to and to 144 INTRODUCTION TO OPTIMUM DESIGN 4 .51 Consider the following problem with equality constraints: Minimize (x 1 - 1)...

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Introduction to XSLT Concepts phần 5 pptx

Introduction to XSLT Concepts phần 5 pptx

... ’Business’)]] Thanks to Jeni Tennison for: select="following-sibling::transaction [@type = $type and substring(@date, 4, 2) != $month] [1]" Page 35 Introduction to XSLT Concepts slide 80 How to Make ... staff) XSLT is C Fast to learn C Useful when you know even a little C Fast to write (great for prototyping, reports) C Powerful in XML problem space C Use as a toolkit...

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Introduction to Optimum Design phần 1 pdf

Introduction to Optimum Design phần 1 pdf

... Functions 55 2 17.2.7 Optimization Engine 55 2 17.3 Multiobjective Genetic Algorithms 55 2 17.4 Weighted Sum Method 55 5 17 .5 Weighted Min-Max Method 55 6 17.6 Weighted Global Criterion Method 55 6 17.7 ... MV-OPT 52 0 15. 3 Integer Programming 52 1 15. 4 Sequential Linearization Methods 52 2 15. 5 Simulated Annealing 52 2 15. 6 Dynamic Rounding-off Method 52 4 15. 7 Neighbo...

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Introduction to Optimum Design phần 2 pdf

Introduction to Optimum Design phần 2 pdf

... steel 7 850 2 75 210 80 0.30 2. Aluminum alloy 24 ST4 2 750 1 65 75 28 0.32 3. Magnesium alloy A261 1800 90 45 16 0. 35 4. Berylium 1 850 110 300 147 0.02 5. Titanium 450 0 1 65 110 42 0.30 Torque d i d o l FIGURE ... as Plotg4=ContourPlot[g4,{x1,-1, 25} ,{x2,-1, 25} , ContourShadingÆFalse, ContoursÆ{0,. 35} , ContourStyleÆ{{Thickness[.01]}, {GrayLevel[.8],Thickness[.02]}}, DisplayFu...

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Introduction to Optimum Design phần 4 pdf

Introduction to Optimum Design phần 4 pdf

... 8.2x 2 + 7.5x 3 + 5x 4 = 15 x i ≥ 0; i = 1 to 4 6.13 Minimize f = 8x 1 - 3x 2 + 15x 3 subject to 5x 1 - 1.8x 2 - 3.6x 3 ≥ 2 3x 1 + 6x 2 + 8.2x 3 ≥ 5 1.5x 1 - 4x 2 + 7.5x 3 ≥-4 .5 -x 2 + 5x 3 ≥ 1 .5 x 1 , ... 7.5x 3 + 5x 4 = 15 x i ≥ 0; i = 1 to 4 6.64 Minimize f = 8x - 3x 2 + 15x 3 subject to 5x 1 - 1.8x 2 - 3.6x 3 ≥ 2 3x 1 + 6x 2 + 8.2x 3 ≥ 5 1.5x 1 - 4x 2 + 7.5x 3 ≥-4 .5 -x...

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Introduction to Optimum Design phần 6 potx

Introduction to Optimum Design phần 6 potx

... 30 15 0 50 33 42 56 0 54 5 0 50 33 , max ; . , . , . , . .= {} = fgg g g====-=-9233 8 0 30 15 0 50 33 42 56 0 54 5 123 4 ., . , . , . , . x 01 40 05 01 25 6 0 45 42 56 0 54 5 , . . . . . . () = È Î Í ˘ ˚ ˙ + () È Î Í ˘ ˚ ˙ = È Î Í ˘ ˚ ˙ F 00 ... 01 05 05 05 05 () () = È Î Í ˘ ˚ ˙ = È Î Í ˘ ˚ ˙ ; xx 1 00 2 00 05 05= ◊=- =◊= () () () () sy sz., . yxx 01 0 05 0...

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Introduction to Optimum Design phần 7 pot

Introduction to Optimum Design phần 7 pot

... 3.7 055 4E-01 1.00000E+00 1.03315E-02 5. 8477E-02 5. 155 8E-01 3.8601E+00 6 CC 5. 06 054 E-01 1.00000E+00 7.96802E-03 5. 0000E-02 2.9195E-01 8.9170E+00 7 CR 0.00000E+00 1.67623E-02 1.47 352 E-02 5. 5 455 E-02 ... constraints. 458 INTRODUCTION TO OPTIMUM DESIGN 11 10 9 8 7 6 5 4 3 2 1 0 123 Iteration no. Design variable value 456 7891011121314 FIGURE 13 -5 History...

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Introduction to Optimum Design phần 8 pot

Introduction to Optimum Design phần 8 pot

... 36.74 0.9 45 16. 655 1.680 20300 1110 15. 20 1300 156 3.830 W36 ¥ 280 82.40 36 .52 0.8 85 16 .59 5 1 .57 0 18900 1030 15. 10 1200 144 3.810 W36 ¥ 260 76 .50 36.26 0.840 16 .55 0 1.440 17300 953 15. 00 1090 ... ; , , , , ,mmm dt 0 0 020 0 022 0 024 0 48 0 50 5 7 9 23 25 {} Œ {} . , . , . , , . , . ; , , , , ,mmm 54 0 INTRODUCTION TO OPTIMUM DESIGN taken is to stress the basic...

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Introduction to Optimum Design phần 9 ppsx

Introduction to Optimum Design phần 9 ppsx

... 3.4604E-03), (2. 056 7E-03, 1. 351 4E- 05) , (1.0345E- 05, 5. 2375E-06), (6.8306E+00, 6.3000E-08), (3.0234E-02, 7.0000E-10), (1.2814E-03, 3.4 050 E-04), (2.2660E-07, 1.6638E-06), (2 .56 45E-01, 3 .52 56E- 05) . 18.9 ... sppwf uspwf =+ () - () + () - () + () - () + () - () + 600 000 50 000 0 15 60 120 000 0 15 12 600 000 0 15 12 120 000 0 15 24 600 000 0 15 24 120 000 0 15 36 600 000 0...

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