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Plastics Engineering 3E Episode 1 pps

Optimal Control with Engineering Applications Episode 1 pps

Optimal Control with Engineering Applications Episode 1 pps

... 923.3.4LQQSpeedControl 963.4 Exercises 994 Differential Games 10 34 .1 Theory 10 34 .1. 1 Problem Statement 10 44 .1. 2TheNash-PontryaginMinimaxPrinciple 10 54 .1. 3Proof 10 64 .1. 4Hamilton-Jacobi-IsaacsTheory 10 74.2 ... TheLQDifferentialGameProblem 10 94.2 .1 Solved with the Nash-Pontryagin Minimax Principle 10 94.2.2 Solved with the Hamilton-Jacobi-Isaacs Theory . . 11 14.3 H∞-ControlviaDifferentialGames 11 3Solutions to Exercises 11 7References ... Contents2.3 Optimal Control Problems with a Free Final State 382.3.1TheOptimalControlProblemofTypeC 382.3.2Pontryagin’sMinimumPrinciple 382.3.3Proof 392.3.4 The LQ Regulator Problem 41 2.4 Optimal Control...
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Plastics Engineering 3E Episode 1 pps

Plastics Engineering 3E Episode 1 pps

... 45 48 61 66 71 74 81 84 95 95 10 3 11 0 11 6 11 9 12 1 12 1 12 7 13 1 13 4 13 6 13 7 13 8 14 0 14 2 14 2 14 3 14 5 14 5 14 7 14 8 15 0 15 2 15 2 15 4 16 8 16 8 16 8 xiv Preface to the ... G 0.97- 1. 34 1. 1 1 - 1. 21 -50 -13 0 -40 -13 0 40D to 72D 30A to 45D 43 to62 60 to 70 21 to 45 25 to 45 E E E F G P E PIE 1. 17 -1. 25 0.93 -1. 0 -65- 13 0 -30- 12 0 40D to ... Avenue, Woburn, MA 018 01- 20 41 First published 19 81 Second edition 19 87 Reprinted with corrections 19 90. 19 92 Third edition 19 98 Reprinted 19 99.20 01, 2002 Copyright 0 19 87, 19 98 R.J. Crawford....
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Plastics Engineering 3E Episode 2 pptx

Plastics Engineering 3E Episode 2 pptx

... 0 .25 0 .2 0 .2 0 .2 0.15 0.14 0 .23 0 .22 0 .24 0. 52 - - 0 .2 0.5 0 .25 Ob2 0 .2 0 .22 1.18 - - - 0 .20 0.15 0 .24 0 .25 0 .25 0.16 0.14 0.17 0 .2 0 .2 0.0 32 0.0 32 90 12 111 ... 30 25 70 45 70 115 62 24 0 75 180 55 185 65 105 84 72 33 70 40 10 32 25 50 14 72 40 70 2. 2 2. 8 2. 6 2. 9 1.7 1.3 3.0 2. 3 2. 8 5.1 3.8 14 3 12 8 .O 4.5 2. 8 ... 0.178 0. 125 0 .20 4 0.078 0. 62 0.7 0.061 0.034 0.0 52 0.19 0. 026 0. 025 0. 024 0. 024 0. 020 0. 024 0. 126 6.8 x 17.4 x 1 I .5 0.01 1 3.51 7.95 4.0 6.78 13.15 17.6 21 .6 8.34...
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Plastics Engineering 3E Episode 3 potx

Plastics Engineering 3E Episode 3 potx

... by bd3 where I = - VL3 ti=- 3EI 12 ti=-{ FL3 1-ptana } 3EI p + tana Insertion force F= (Lfd)l { :-:E:} (2.21) For polypropylene in the situation given, Fig. 2. 23 shows ... 18 mm. 60 Mechanical Behaviour of Plastics Thickness = 1.2 mm Fig. 2.14 Acetal bottle cap given by 3pR2(1 + u) - 3 x 0 .37 5 x ( 13) 2(1 .33 ) - 8h2 8( 1 .2)2 o = 22 m/m2 ... 2.15 as 2.2%. Hence E = 22 x 106/0.022 = 1 GN/m2. pp 0 .37 5( 13) 412(1 - 0 .33 2) 6= 640 - 64 x io00 x (1.2 13 S=lmm Example 2.5 In a small polypropylene pump the flange on...
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Plastics Engineering 3E Episode 4 doc

Plastics Engineering 3E Episode 4 doc

... above, a4 = 10 MN/m2 at r4 = 300 s SO, ~(350) = 0.003 = 0.3% (iv) and in the same way ~ (45 0) = 0.0 04 = 0 .4% The predicted strain variation is shown in Fig. 2 .43 (b). The ... Behaviour of Plastics 0.1 0.08 Sp 65 - B 0.06 0. 04 0.02 0 0 50 100 150 200 (SI Fig. 2 .46 Variation of strain with time Stress (MN/m*) 0 100 - Time (s) Fig. 2 .47 Stress ... given by From equation (2 .48 ) but from equation (2 .47 ) ~II~U~=CT-U~ E = E2 = El + E3 &=&1+&3 a1 =a - a2 Rearranging gives (2 .48 ) (2 .49 ) This is the governing...
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Plastics Engineering 3E Episode 5 ppt

Plastics Engineering 3E Episode 5 ppt

... Steel 5 1.2-2 0. 35- 1.6 0.1 -0.3 5- 7 6 .5 3 .5- 6 .5 0. 25- 4 0.4 -5 0.3-0.8 1.3-1.4 0.01 -0.02 100 8 2-4 4 0.9-1.6 0.3-0 .5 5- 7 1 0 .5- 5 3 1-2.6 3-4 .5 0.7-1.1 1-4 0. 75 140 ... 0.014-0.023 0.0 05- 0.008 0.12 0.1 25 0.0 25- 0. 25 0.06 0.02-0 .5 0. 15- 0.2 0.02 0.03-0.13 0.01 0 .5 17 6 0.2-0 .5 0.02-0.06 14 16 5- 100 3.6 0.4-2.7 22-40 0.4 1.1-18 0.1 250 2.18 Stress ... 0. 354 0. 450 0 .53 8 0.287 0.3 45 0.398 0.233 0.267 0.298 0.187 0.2 05 0.222 0 25 50 BD0 (x lo4 m2) Fig. 2.84 Plot of U, against BD0 75 100 138 Mechanical Behaviour of Plastics...
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Plastics Engineering 3E Episode 6 pdf

Plastics Engineering 3E Episode 6 pdf

... -sc ] Then 1.12.10-~ -6. 3.10-~ -1.87.10-~ -i.87.10-~ 5.89. io -6 4.35.10-~ s= [ -6. 3. 2 .65 . 5.89 Directly by matrix manipulation E, = 1.1 26. cy = -6. 309 * yxy = -1.878 - ... nylon 66 Weight fraction, Wf property 0 0.10 0.20 0.30 0.40 0.50 0 .60 Density 1140 1210 1280 1370 1 460 1570 1700 Tensile strength (GN/m2) 0.07 0.09 0.13 0.18 0.21 0.23 0.24 96 ... 96 elongation at break 60 3.5 3.5 3.0 2.5 2.5 1.5 Flexural modulus (GN/m2) 2.8 4.2 6. 3 9.1 11.2 15.4 19 .6 Water absorption (24 tu) 1 .6 1.1 0.9 0.9 0 .6 0.5 0.4 Thermal expansion...
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Plastics Engineering 3E Episode 7 pot

Plastics Engineering 3E Episode 7 pot

... = -2.09 x 10-~ 1.49 x 10-~ 2.01 10-~ 3 .77 x 10-4 5.34 x 10-5 -2.03 x 10-4 1 1.05 x lo3 235.2 -1 67. 1 239.2 -79 .2 -1 67. 1 -79 .2 233.0 [ D = [ 235.2 2.15 x 10-3 -1.60 ... 104 14. 37: io4 1.41 io4 A = 1.41 x lo4 1. 27 x 104 0 6.65 10-~ -5 .73 10-~ -6.81 -6.81 x -2.05 x 1.02 x 1 -1.46 x io3 604.5 -1. 67 x io3 -16 .7 x lo3 -79 2 604.4 ... 4.20 x lo3 1.51 x lo4 0 7. 28 x 104 3.44 x 104 4. 17 x lo4 4. 17 x 104 1.98 x lo4 3.42 x 104 7. 28 x 104 3.44 x lo4 4. 17 x 104 4. 17 x 104 1.98 x 104 3.42 x...
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Plastics Engineering 3E Episode 8 ppsx

Plastics Engineering 3E Episode 8 ppsx

... TI2 El = 1.144 E2 = 1.1 28 io? y12 = -1. 688 x 10-~ ~ 583 , ?I2 - 188 i2T - = 1659, - El E2 Y12 ;IT Thus once again, an applied stress of 188 MN/m2 would cause shear failure ... Westport, CT (1 980 ). Folkes, M.J. Short Fibre Reinforced Thermoplastics, Research Studies Press, Somerset (1 982 ). Mathews, F.L. and Rawlings, R.D. Composite Materials: Engineering and ... 6~c is used and so on. 260 Processing of Plastics 1 0.9 0 .8 U c Q) 0 0.7 I E 0.6 8 g 0.5 E 0.4 0.3 0.2 0 0.2 0.4 0.6 0 .8 Aspect ratio (db) Fig. 4.13 Flow coefficient...
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Plastics Engineering 3E Episode 9 pdf

Plastics Engineering 3E Episode 9 pdf

... lo00 lo00 loo0 loo0 lo00 loo0 825/25/150 8251501125 3001401660 1050 1 390 91 0 1360 92 0 96 0 1050 1070 93 0 30 5 60 1 140 60 5t 1 It 2 0.75 0.25 2 0.5 0.3 1.6 0.4 0.25 ... been considerable 266 Processing of Plastics Controlled temperature (1) Fig. 4. 19( a) Sheet extrusion (1) thick sheet (2) thin sheet Fig. 4. 19( b) Pipe extrusion (1) rigid pipe (2) ... such things as electric drill casings, yoghurt cartons, television 292 Processing of Plastics runner channels Fig. 4. 39 Layout of hot runner mould the runner which then insulates its...
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Plastics Engineering 3E Episode 10 docx

Plastics Engineering 3E Episode 10 docx

... volume of the sheet is given by Aihj = 150 x 100 x 2 = 3 x lo4 mm3 The surface area of the final product is Aj = (150 x 100 ) + 2 (100 x 60) + 2(150 x 60) = 4.5 io4 mm2 ... would leave a volume of (3 x 104 -2.52 x lo4) to form the walls. The area of the walls is A,=(2 ~100 ~60)+(2~150~60)=3~ lO4~* 320 Processing of Plastics CharQino area - Cooling ... time Total compression cycle 0 .105 0.140 0 .100 2.230 2.575 Injection moulding Unload piece, opedclose machine Moulding cycle time Total injection cycle 0 .100 1 .goo 2.000 4.4 Thennoforming...
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Plastics Engineering 3E Episode 11 pdf

Plastics Engineering 3E Episode 11 pdf

... E.G, Extrusion of Plastics, Newnes-Butterworth, 1976. Schenkel, G, Plastics Extrusion Technology and Practice, Iliffe, 1966. Fisher, E.G, Blow Moulding of Plastics, Iliffe, 1971. ... ( dr' dr - dr )) 350 Analysis of polymer melt flow V= 211 dz Now at y = 0, V = VO so 1dP H 211 dz vo = (z) Substituting aP/az in the expression for V gives ... graphically as shown in Fig. 5 .11. 2.6 2.4 2.2 0 c E2 UJ C I 1.8 a, 3 v, 1.6 1.4 1.2 1 0 1 2 3 4 5 6 7 8 Recoverable shear strain Fig. 5 .11 Variation of Swelling...
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Plastics Engineering 3E Episode 12 ppsx

Plastics Engineering 3E Episode 12 ppsx

... check the value of Bi. In this case 20 x 1.5 x 10-3 Bi = = 0 .12 0.25 Analysis of polymer melt flow 5 .12 Analysis of Heat Transfer during Polymer Processing Most polymer ... data on the thermal diffusivity of their plastics but in the absence of any information a value of 1 x lov7 m2/s may be used for most thermoplastics (see Table 1.8 and Table 5.1). ... whereas pigments tend to increase viscosity. Fig. 5.17 shows flow curves for a range of plastics. Melt Flow Rate (also known as Melt Flow Index) The Melt Flow Rate Test is a...
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Plastics Engineering 3E Episode 14 ppsx

Plastics Engineering 3E Episode 14 ppsx

... so 4x 20 1 .142 +1 AR=m{ (1 .142 -1)-0’4} AR = 0.29 ITM (b> AR = a.R.AT = 143 °C 0.29 loo x 10-6 x 20 AT = Hence the nylon bush would need to be cooled by 143 °C to achieve ... specimen fracture = 0.44 + 3.947 = 4. 414 J Remaining energy = 11.036 - 4. 414 = 6.6218 J = 0.15 m 6.6218 So height of swing = - 44 .145 (2.59) K = p(m~)'/~ [ 1.12 ... 1.225 x 1015 150 x Id - = 2.22 x 10-l2 s A (2) - (8. 314 x 293) so to= Also y = BRT = 0.467 x 8. 314 x 293 x so at u = 44 MN/m2, T = 40°C = 1137.6 x m3/mol...
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Plastics Engineering 3E Episode 16 ppsx

Plastics Engineering 3E Episode 16 ppsx

... which Contents 0 General properties of plastics 0 of plastics Mechanical behaviour of c plastics 0 Analysis of polymer melt Structure of plastics and Solutions to An imprint of ... principles wkhout the unduly complex levels of mathematics or chemistry set plastics in their proper context as engineering makri This textbook pioneered the approach whereby botn 1, in a ... half the book has been re-writ been updated and re-organised. introduction to the types of plastics and describe how a designer goes for a particular application. Later chap more advanced...
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