NTRODUCTION TO OPTIMUM DESIGN

... 4.7 .1 Design of a Wall Bracket 4.7.2 Design of a Rectangular Beam Exercises for Chapter Chapter 10 3 10 3 10 4 10 9 11 6 11 9 11 9 12 1 12 8 14 0 14 1 14 3 14 3 14 6 14 7 14 8 14 9 14 9 15 1 15 3 15 6 15 7 15 8 15 8 16 2 ... Methods for Optimum Design 259 7 .1 Chapter 19 5 19 5 19 8 2 01 2 01 202 202 203 205 206 211 218 219 219 220 220 2 21 226 228 22...

Ngày tải lên: 13/08/2014, 18:20

... x2 £ x2 £ x1, x2 ≥ 3.9 Minimize subject to f(x1, x2) = x1x2 x1 + x2 £ x2 + x2 £ 3.10 Minimize subject to f(x1, x2) = 3x1 + 6x2 -3x1 + 3x2 £ 4x1 + 2x2 £ -x1 + 3x2 ≥ 72 INTRODUCTION TO OPTIMUM DESIGN ... subject to f(x1, x2) = (x1 - 3 )2 + (x2 - 3 )2 x1 + x2 £ x1, x2 ≥ 3 .2 Maximize subject to F(x1, x2) = x1 + 2x2 2x1 + x2 £ x1, x2 ≥ 3.3 Minimize subject to f(x1, x2) = x1...

Ngày tải lên: 13/08/2014, 18:20

... solutions are 237 .17 £ b £ 527 .34 mm; 2 13. 33 £ d £ 474 .33 mm bd = (1.125 ¥ 10 ) mm Case 4: s1 = 0, u2 = 0, u3 = 0, u4 = 0, u5 = Equations (i) and (j) reduce to 164 INTRODUCTION TO OPTIMUM DESIGN d- ... contours are shown 134 INTRODUCTION TO OPTIMUM DESIGN x2 –7 –5 3 –1 D g A D f –4 3 –2 –1 x1 –1 D f B D g g=0 –2 3 Cost function contours –4 FIGURE 4-21 Graphical solu...

Ngày tải lên: 13/08/2014, 18:20

... identied to be replaced with x2 in the basic set Basicỉ x1 x2 x3 x4 x5 b Ratio: bi /aiq x3 1 0 16 16 x4 x5 28 14 14 24 Cost -40 0 = 14 ă smallest 1 = 16 1/ 14 1/ 24 0 1 0 f-0 -600 = 24 Second ... Optimum Design 251 6 .45 Minimize subject to f = -x1 - 4x2 x1 + x2 Ê 16 x1 + 2x2 Ê 28 24 2x1 + x2 x1, x2 6 .46 Minimize f = x1 - x2 subject to 4x1 + 3x2 Ê 12 x1 + 2x2 Ê 4 2x1 + x2...

Ngày tải lên: 13/08/2014, 18:20

... as ẩ6 (5 - 5a ) + 2(10 - 10a ) 50 - 50 a = f (x (1) ) = ẻ2 (5 - 5a ) + 4(10 - 10a ) 50 - 50 a ẻ ẩ -5 f (x (1) ) d ( ) = (50 - 50 a , 50 - 50 a ) =0 ẻ-10 (i) Or, - 5( 50 - 50 a ) - 10 (50 - 50 a ... Exercise 8 .54 8.81 Exercise 8 .55 8.82 Exercise 8 .56 8.83 Exercise 8 .57 8.84 Exercise 8 .58 8. 85 Exercise 8 .59 8.86 Exercise 8.60 304 8.79 Exercise 8 .53 8.87 Exercise 8.61 INTRO...

Ngày tải lên: 13/08/2014, 18:20

... functions at the trial design point are calculated as f1,0 = f (65 .6, 0.95) = (65 .6) + 320 (65 .6) (0.95) = 24, 2 46 g1 (65 .6, 0.95) = 65 .6 - = 0.151 > (violation) 60 (0.95) (j) 65 .6( 65 .6 - 0.95) = -0.1781 ... design variable cells, D3 to D6, dependent variable cells, C18 to C25, and the constraint function cells, B31 to B 36 and D31 to D 36 are updated using the o...

Ngày tải lên: 13/08/2014, 18:20

... 2. 278 73E+01 1.31993E+00 1.03643E-01 1. 673 49E-03 4.30513E- 07 7.20000E+03 7. 875 00E+02 7. 13063E+02 6.9 973 4E+02 7. 03880E+02 7. 03947E+02 1.0000E+01 9.9438E+00 9.0133E+00 7. 6933E+00 7. 7 970 E+00 7. 7987E+00 ... 1.2 677 2E-02 1.2 678 7E-02 2.0000E-01 5.0000E-02 5 .74 91E-02 6.2522E-02 6.8435E-02 6. 877 0E-02 6. 873 2E-02 6.8542E-02 6 .76 35E-02 6.3848E-02 6.0328E-02 5 .75 19E-0...

Ngày tải lên: 13/08/2014, 18:20

... Ơ 194 88 .30 82 .40 76.50 72.10 67.60 61 .80 57.00 36.74 36.52 36.26 36. 08 35.90 36.69 36.49 0.945 0 .88 5 0 .84 0 0 .80 0 0.760 0 .83 0 0.765 16.655 16.595 16.550 16.510 16.470 12. 180 12.115 1. 680 1.570 ... Node 11 g=(5 ,8, 15) x=(2,3) f=70 Node 10 g=(5,10,10) x=(3,2) f =80 g=(5,5,5) STOPSince cost is larger than -80 STOPSince cost is larger than 80 STOPFeasible cost will be higher th...

Ngày tải lên: 13/08/2014, 18:20

... should be consulted (Hohn, 196 4; Franklin, 196 8; Cooper and Steinberg, 197 0; Stewart, 197 3; Bell, 197 5; Strang, 197 6; Jennings, 197 7; Deif, 198 2; Gere and Weaver, 198 3) In addition, most software ... (Branin and Hoo, 197 2) minimize ˆ Ê 2 f (x) = - 2.1x12 + x14 x12 + x1 x + (-4 + x ) x Ë ¯ 588 INTRODUCTION TO OPTIMUM DESIGN subject to -3 £ x1 £ -2 £ x £ 18.2 (Lucidi and Pic...

Ngày tải lên: 13/08/2014, 18:20

... Answers to Selected Problems Chapter 12 Introduction to Optimum Design with MATLAB 12.1 For l = 0.5 m, To = 10 kN◊m, Tmax = 20 kN◊m, x* = 103 mm, x* = 0.955, f* = 2.9 kg 12.2 For l = 0.5, To = 10 ... optimum design with, 413–432 constrained optimum design problems, 418–420 exercises, 429–432 Optimization Toolbox, 413–415 optimum design examples with MATLAB, 420–...

Ngày tải lên: 13/08/2014, 18:20

... is an Assistant Professor at UPC, Barcelona, Spain Currently, he is involved in several national and European research projects Joint Beamforming Design in a MIMO-OFDM Multiuser System Ana I ... converge to any acceptable design The SA algorithm has analogies with the annealing of solids in physics and thermodynamics, as has been explained in [8] The main objective o...

Ngày tải lên: 23/06/2014, 00:20

... Module 2: Solution Design Using the MSF Module 3: A Services-Based Approach to Solution Design Module 4: Business Solution Conceptual Design Module 7: Selecting Solution Technologies Module 5: ... Using the MSF Module 3: A Services-Based Approach to Solution Design Module 4: Business Solution Conceptual Design Module 5: Business Solution...

Ngày tải lên: 16/10/2013, 13:15

... 20 Activity 4.2: Inputs to Conceptual Design Exercise 1: Identifying Conceptual Design Inputs ! Identify the inputs to conceptual design Think of the type of information ... upon which you based your design process Brainstorm as a class a list of information types and sources that could be seen as inputs into conceptual design The instructor will write your a...

Ngày tải lên: 09/12/2013, 17:15

... 12 Activity 3.2: Relating Data Requirements to Conceptual Design Exercise 1: Analyzing Your Own Experience of Conceptual Design ! Compare your experience with ... that has to service many users simultaneously Reflect on the process that you used to create a conceptual design for the project Then answer the following questions: a How is conceptual design ... que...

Ngày tải lên: 21/12/2013, 06:16

... understand this concept Instructor Notes Module 3: Services-Based Approach to Solution Design Module Strategy Use the following strategy to present this module: ! Services-Based Approach In this section, ... 2 Instructor Notes Module 3: Services-Based Approach to Solution Design Activities Activity 3.1: Identifying Services In this activity, ... us...

Ngày tải lên: 17/01/2014, 09:20