Preface |
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xiii | |
Contributors |
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xv | |
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1 | (48) |
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3 | (22) |
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1.1 Introduction of Injection Molding |
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3 | (2) |
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1.1.1 The injection molding process |
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3 | (1) |
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1.1.2 Importance of molding quality |
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3 | (2) |
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1.2 Factors Influencing Quality |
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5 | (5) |
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5 | (1) |
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6 | (1) |
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7 | (1) |
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7 | (1) |
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1.2.5 Injection molding machine |
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8 | (1) |
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9 | (1) |
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10 | (7) |
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1.3.1 Review of computer applications |
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11 | (1) |
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1.3.2 Computer modeling in quality enhancement |
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11 | (2) |
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1.3.3 Numerical simulation |
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13 | (1) |
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14 | (1) |
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15 | (2) |
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1.4 Objective of This Book |
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17 | (8) |
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18 | (7) |
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25 | (24) |
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25 | (6) |
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25 | (2) |
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27 | (2) |
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29 | (1) |
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30 | (1) |
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31 | (3) |
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31 | (1) |
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32 | (1) |
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32 | (1) |
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33 | (1) |
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33 | (1) |
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2.2.6 Bosses and cored holes |
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33 | (1) |
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33 | (1) |
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34 | (3) |
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34 | (1) |
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35 | (1) |
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36 | (1) |
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37 | (1) |
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37 | (6) |
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38 | (2) |
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40 | (1) |
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41 | (1) |
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2.4.4 Residual stresses, shrinkage, and warpage |
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41 | (2) |
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43 | (6) |
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2.5.1 Characteristics of injection molding as a batch process |
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45 | (1) |
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2.5.2 Typical control problems in injection molding |
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45 | (2) |
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47 | (2) |
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49 | (206) |
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3 Mathematical Models for the Filling and Packing Simulation |
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51 | (20) |
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3.1 Material Constitutive Relationships and Viscosity Models |
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51 | (5) |
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51 | (1) |
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3.1.2 Generalized Newtonian fluids |
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52 | (2) |
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3.1.3 Viscoelastic fluids |
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54 | (2) |
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3.2 Thermodynamic Relationships |
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56 | (2) |
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3.2.1 Constant specific volume |
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57 | (1) |
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3.2.2 Spencer-Gilmore model |
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57 | (1) |
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57 | (1) |
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3.3 Thermal Properties Model |
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58 | (1) |
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3.4 Governing Equations for Fluid Flow |
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59 | (6) |
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3.4.1 Mass conservation equation |
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59 | (1) |
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3.4.2 Momentum conservation equation |
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60 | (2) |
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3.4.3 Energy conservation equation |
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62 | (2) |
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3.4.4 General transport equation |
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64 | (1) |
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65 | (2) |
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3.5.1 Pressure boundary conditions |
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66 | (1) |
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3.5.2 Temperature boundary conditions |
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66 | (1) |
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3.5.3 Slip boundary condition |
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66 | (1) |
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3.6 Model Simplifications |
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67 | (4) |
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67 | (1) |
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3.6.2 Governing equations for the filling phase |
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68 | (1) |
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3.6.3 Governing equations for the packing phase |
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69 | (1) |
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69 | (2) |
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4 Numerical Implementation for the Filling and Packing Simulation |
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71 | (58) |
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71 | (30) |
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4.1.1 Finite difference method |
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72 | (4) |
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4.1.2 Finite volume method |
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76 | (9) |
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4.1.3 Finite element method |
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85 | (10) |
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95 | (6) |
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4.2 Tracking of Moving Melt Fronts |
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101 | (12) |
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101 | (3) |
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104 | (1) |
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105 | (5) |
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110 | (3) |
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4.3 Methods for Solving Algebraic Equations |
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113 | (16) |
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113 | (1) |
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114 | (2) |
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116 | (5) |
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121 | (4) |
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125 | (4) |
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129 | (28) |
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129 | (2) |
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131 | (5) |
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5.2.1 Cycle-averaged temperature field |
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131 | (1) |
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5.2.2 Cycle-averaged boundary conditions |
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132 | (2) |
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5.2.3 Coupling calculation procedure |
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134 | (1) |
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5.2.4 Calculating cooling time |
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135 | (1) |
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5.3 Numerical Implementation Based on Boundary Element Method |
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136 | (7) |
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5.3.1 Boundary integral equation |
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136 | (2) |
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5.3.2 Numerical implementation |
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138 | (5) |
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143 | (7) |
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5.4.1 Analysis of the coefficient matrix |
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143 | (1) |
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5.4.2 The approximated sparsification method |
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144 | (1) |
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5.4.3 The splitting method |
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145 | (1) |
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5.4.4 The fast multipole boundary element method |
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146 | (2) |
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5.4.5 Results and discussion |
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148 | (2) |
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5.5 Simulation for Transient Mold Temperature Field |
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150 | (7) |
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154 | (3) |
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6 Residual Stress and Warpage Simulation |
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157 | (38) |
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6.1 Residual Stress Analysis |
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157 | (13) |
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6.1.1 Development of residual stress |
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157 | (2) |
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159 | (4) |
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6.1.3 Numerical simulation |
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163 | (2) |
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165 | (5) |
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170 | (25) |
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6.2.1 Development of warpage |
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172 | (1) |
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173 | (9) |
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6.2.3 Implementation with surface model |
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182 | (4) |
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186 | (4) |
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190 | (5) |
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7 Microstructure and Morphology Simulation |
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195 | (42) |
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7.1 Types of Polymeric Systems |
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195 | (1) |
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7.1.1 Thermoplastics and thermosets |
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195 | (1) |
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7.1.2 Amorphous and crystalline polymers |
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196 | (1) |
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7.1.3 Blends and composites |
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196 | (1) |
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196 | (7) |
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196 | (1) |
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197 | (5) |
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202 | (1) |
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7.3 Phase Morphological Evolution in Polymer Blends |
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203 | (11) |
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205 | (2) |
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207 | (6) |
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213 | (1) |
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214 | (6) |
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7.4.1 Molecular orientation |
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215 | (1) |
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216 | (2) |
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218 | (2) |
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7.5 Numerical Implementation |
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220 | (4) |
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220 | (1) |
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7.5.2 Stable scheme of the FEM |
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221 | (1) |
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7.5.3 Formulations of the velocity and pressure equations |
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222 | (1) |
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7.5.4 Formulations of temperature and microstructure equations |
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223 | (1) |
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7.6 Microstructure-Property Relationships |
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224 | (4) |
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7.6.1 Effect of crystallinity on property |
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224 | (1) |
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7.6.2 Effect of phase morphology on property |
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225 | (1) |
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7.6.3 Effect of orientation on property |
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226 | (2) |
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7.7 Multiscale Modeling and Simulation |
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228 | (9) |
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7.7.1 Molecular scale methods |
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229 | (1) |
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229 | (1) |
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7.7.3 Meso/macroscale methods |
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230 | (1) |
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7.7.4 Multiscale strategies |
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231 | (1) |
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231 | (6) |
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8 Development and Application of Simulation Software |
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237 | (18) |
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8.1 Development History of Injection Molding Simulation Models |
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237 | (3) |
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8.1.1 One-dimensional models |
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238 | (1) |
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238 | (2) |
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8.1.3 Three-dimensional models |
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240 | (1) |
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8.2 Development History of Injection Molding Simulation Software |
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240 | (3) |
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8.3 The Process of Performing Simulation Software |
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243 | (3) |
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244 | (1) |
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8.3.2 Selection of material |
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245 | (1) |
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8.3.3 Setting processing parameters |
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246 | (1) |
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8.4 Application of Simulation Results |
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246 | (9) |
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8.4.1 Dynamic display of melt flow front |
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246 | (1) |
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246 | (1) |
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8.4.3 Pressure at injection location |
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247 | (1) |
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8.4.4 Polymer temperature |
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247 | (1) |
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247 | (1) |
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247 | (1) |
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247 | (1) |
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248 | (2) |
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250 | (1) |
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8.4.10 Cooling evaluation |
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250 | (1) |
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8.4.11 Warpage prediction |
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251 | (1) |
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251 | (4) |
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255 | (58) |
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9 Noniterative Optimization Methods |
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257 | (26) |
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258 | (2) |
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258 | (1) |
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9.1.2 Analysis of the S/N ratio |
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259 | (1) |
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9.1.3 Analysis of variance |
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259 | (1) |
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259 | (1) |
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9.2 Gray Relational Analysis |
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260 | (1) |
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260 | (1) |
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9.2.2 Gray relational coefficient and gray relational grade |
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260 | (1) |
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261 | (5) |
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262 | (1) |
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263 | (3) |
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266 | (2) |
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9.4.1 Case representation |
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266 | (1) |
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267 | (1) |
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267 | (1) |
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268 | (6) |
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269 | (3) |
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272 | (2) |
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9.5.3 A fuzzy system for part defect correction |
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274 | (1) |
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9.6 Injection Molding Applications |
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274 | (9) |
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9.6.1 Review of noniteration optimization methods |
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274 | (2) |
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9.6.2 Application of the taguchi method |
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276 | (2) |
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9.6.3 Application of case-based reasoning and fuzzy systems |
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278 | (3) |
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281 | (2) |
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10 Intelligent Optimization Algorithms |
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283 | (10) |
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283 | (2) |
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10.1.1 Chromosome representation |
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284 | (1) |
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284 | (1) |
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10.1.3 Crossover and mutation operations |
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284 | (1) |
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10.1.4 Fitness function and termination |
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285 | (1) |
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10.2 Simulated Annealing Algorithms |
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285 | (2) |
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10.2.1 The fundamentals of the simulated annealing algorithm |
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286 | (1) |
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10.2.2 Optimum design algorithm for simulated annealing |
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287 | (1) |
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10.3 Particle Swarm Algorithms |
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287 | (2) |
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10.3.1 General procedures |
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287 | (1) |
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10.3.2 Determination of parameters |
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288 | (1) |
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10.4 Ant Colony Algorithms |
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289 | (1) |
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10.5 Hill Climbing Algorithms |
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290 | (3) |
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290 | (1) |
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10.5.2 Flow path generation with hill climbing algorithms |
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290 | (1) |
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291 | (2) |
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11 Optimization Methods Based on Surrogate Models |
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293 | (20) |
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11.1 Response Surface Method |
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294 | (2) |
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294 | (1) |
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11.1.2 Modeling error estimation |
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295 | (1) |
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11.1.3 Optimization process using RSM |
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295 | (1) |
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11.2 Artificial Neural Network |
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296 | (2) |
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11.2.1 Back propagation network |
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296 | (2) |
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11.2.2 BPN training process |
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298 | (1) |
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11.2.3 Optimization process based on ANN |
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298 | (1) |
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11.3 Support Vector Regression |
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298 | (3) |
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299 | (1) |
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11.3.2 Lagrange multipliers |
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300 | (1) |
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300 | (1) |
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11.3.4 Selection of SVR parameters |
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301 | (1) |
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301 | (3) |
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11.4.1 Kriging model theory |
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301 | (1) |
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11.4.2 The correlation function |
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302 | (1) |
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11.4.3 Optimization design based on the kriging surrogate model |
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302 | (2) |
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304 | (1) |
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11.6 Injection Molding Applications of Optimization Methods Based on Surrogate Models |
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305 | (8) |
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11.6.1 Application of the ANN model |
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305 | (2) |
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11.6.2 Application of the SVR model |
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307 | (2) |
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11.6.3 Application of the kriging model |
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309 | (3) |
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312 | (1) |
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313 | (78) |
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315 | (24) |
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12.1 Traditional Feedback Control |
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315 | (1) |
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12.2 Adaptive Control Strategy |
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316 | (2) |
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12.3 Model Predictive Control Strategy |
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318 | (4) |
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12.3.1 GPC design for barrel temperature control |
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320 | (1) |
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12.3.2 GPC controller parameter tuning |
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321 | (1) |
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12.3.3 Experimental test results |
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322 | (1) |
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12.4 Optimal Control Strategy |
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322 | (7) |
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12.4.1 TOC for barrel temperature start-up control |
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323 | (1) |
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12.4.2 Simulation results |
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324 | (5) |
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12.4.3 Experimental test results |
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329 | (1) |
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12.5 Intelligent Control Strategy |
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329 | (6) |
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12.5.1 Fuzzy injection velocity controller |
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330 | (3) |
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12.5.2 Fuzzy feed forward controller |
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333 | (1) |
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12.5.3 Test with different conditions |
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333 | (2) |
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12.6 Summary of Advanced Feedback Control |
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335 | (4) |
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337 | (2) |
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339 | (16) |
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339 | (6) |
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13.1.1 Learning control for injection velocity profiling |
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340 | (5) |
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13.2 Two-Dimensional (2D) Control |
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345 | (5) |
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13.2.1 2D control of packing pressure |
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346 | (4) |
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350 | (5) |
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352 | (3) |
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14 Multivariate Statistical Process Control |
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355 | (22) |
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14.1 Statistical Process Control |
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355 | (1) |
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14.2 Multivariate Statistical Process Control |
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356 | (2) |
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14.2.1 Principal component analysis |
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356 | (1) |
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14.2.2 PCA-based process monitoring and fault diagnosis |
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357 | (1) |
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358 | (1) |
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14.3 MSPC for Batch Processes |
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358 | (1) |
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14.4 MSPC for Injection Molding Process |
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359 | (14) |
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14.4.1 Phase-based sub-PCA |
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360 | (1) |
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14.4.2 Sub-PCA for batch processes with uneven operation durations |
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361 | (2) |
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14.4.3 Sub-PCA with limited reference data |
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363 | (2) |
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365 | (8) |
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373 | (4) |
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373 | (4) |
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15 Direct Quality Control |
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377 | (14) |
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15.1 Review of Product Weight Control |
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377 | (1) |
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378 | (2) |
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15.2.1 Weight prediction using PCR model |
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378 | (1) |
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15.2.2 Overall weight control scheme and feedback adjustment |
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379 | (1) |
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15.3 Experimental Results and Discussion |
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380 | (9) |
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15.3.1 Factor screening experiment |
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380 | (2) |
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15.3.2 PCR modeling of product weight |
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382 | (5) |
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15.3.3 Closed-loop weight control based on PCR model |
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387 | (2) |
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389 | (2) |
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389 | (2) |
Index |
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391 | |