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DOI 10 1007 s00170 004 2287 0 ORIGINAL ARTICLE Int J Adv Manuf Technol 2006 27 1089 1096 K S Lee J C Lin Design of the runner and gating system parameters for a multi cavity injection mould using FEM and neural network Received 15 March 2004 Accepted 7 June 2004 Published online 2 March 2005 Springer Verlag London Limited 2005 Abstract The design of the runner and gating systems is of great importance to achieving a successful injection moulding process The subjects of this study are the finite element and abductive neural network methods applied to the analysis of a multi cavity injection mould In order to select the optimal runner system parameters to minimize the warp of an injection mould FEM Taguchi s method and an abductive network are used These methods are applied to train the abductive neural network Once the runner and gate system parameters are de veloped this network can be used to accurately predict the warp of the multi injection mould A simulated annealing SA opti mization algorithm with a performance index is then applied to the neural network in order to search the gate and runner system parameters This method obtains a satisfactory result as com pared with the corresponding finite element verification Keywords Abductive neural network Multi cavity Simulated annealing 1 Introduction Injection moulding is one of the most important industrial pro cesses in industry owing to a high manufacturing rate shorter product cycle low percentage of scrap excellent product sur face and easy moulding of complicated shapes In the production process molten polymer is injected under high velocity into the mould cavity The constant demand for higher quality leads to interest in the analysis of the product s physical properties K S Lee a117 Department of Mechanical Engineering Chien Kuo Institute of Technology Changhua Taiwan 500 R O C E mail kingsun ckit edu tw Tel 886 4 7111111 Fax 886 4 7111137 J C Lin Department of Mechanical Design Engineering National Huwei University of Science Normalizer RD4 4 00617 1 335391 Input parameter run ner diameter Normalizer GD5 4 00617 2 86155 Input parameter gating diameter Normalizer IV3 2 4037 0 120185 Input parameter injec tion volume Triple 8 0 678393 0 3333 Normalizer CN2 0 04411 Normalizer RD4 1 0659 Normalizer CN2 2 0 0804199 Normalizer RD4 2 0 0616056 Normalizer CN2 Normalizer RD4 0 0609406 Normalizer CN2 Normalizer RD4 Normalizer GD5 0 75 Normalizer CN2 3 Double 9 0 678393 0 274663 Normalizer CN2 0 0441131 Normalizer RD4 1 0659 Normalizer CN2 2 0 0804199 Normalizer RD4 2 0 0616 Normalizer CN2 Normalizer RD4 0 75 Normalizer CN2 3 Double 10 0 06793 0 608463 Normalizer IV3 0 0441131 Normalizer RD4 0 00987721 Normalizer IV3 2 0 0804199 Normalizer RD4 2 0 095574 Normalizer IV3 Normalizer RD4 Triple 7 0 804449 8 76191 Triple 8 8 9015 Double 9 0 74973 Double 10 211 981 Triple 8 2 215 076 Double 9 2 0 0274245 Double 10 2 426 355 Triple 8 Double 9 3 10301 Triple 8 Double 10 2 65269 Double 9 Double 10 0 115732 Triple 8 Double 9 Double 10 7 3526 Triple 8 3 6 733 Double 9 3 0 321305 Double 10 3 Warp output U 6 0 0 577826 0 312686 Triple 7