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压力铸造成型工艺参数优化数学模型研究 Title:MathematicalModelingforOptimizationofParametersinPressureDieCastingProcess Abstract: Pressurediecastingisawidelyusedmanufacturingprocessforproducingcomplexandintricatemetalcomponentswithhighdimensionalaccuracy.Thequalityandefficiencyofthecastingprocessarehighlydependentontheoptimizationofprocessparameters.Thispaperaimstopresentamathematicalmodelforoptimizingtheparametersinthepressurediecastingprocess.Themodeltakesintoaccountvariousfactorssuchasfluidflow,heattransfer,andsolidificationbehaviortodeterminetheoptimalvaluesfordifferentparameters. 1.Introduction Thepressurediecastingprocessinvolvesinjectingmoltenmetalintoametalmoldcavityunderhighpressure.Themoltenmetaliscooledandsolidifiedwithinthemoldtoformthedesiredcomponent.Toachievehigh-qualitycastings,itisessentialtooptimizetheprocessparameters,includingcastingtemperature,injectionpressure,moldtemperature,andcoolingtime.Theoptimizationoftheseparametersrequiresasystematicanalysisoftheunderlyingphysicalphenomena. 2.MathematicalModel Themathematicalmodeldevelopedinthisstudycombinestheprinciplesoffluidmechanics,heattransfer,andsolidificationbehavior.Theanalysisstartswiththefluidflowinsidethemoldcavity,consideringtheflowrate,pressuredrop,andvelocitydistribution.Theheattransferbetweenthemoltenmetalandthemoldwallsisalsoaccountedfor,consideringthetemperaturegradientandtheconvectiveheattransfercoefficient.Solidificationbehavioristhenmodeledbyconsideringthecoolingrate,phasechange,andthermalpropertiesofthemetal.Themodelissolvedusingnumericalmethodssuchasfiniteelementorfinitedifferencetechniques. 3.OptimizationTechniques Tooptimizetheprocessparameters,variousoptimizationtechniquescanbeemployed.Onecommonlyusedapproachistheresponsesurfacemethodology(RSM),whichinvolvesbuildingamathematicalmodelthatapproximatestherelationshipbetweentheprocessparametersandthedesiredoutputvariables.RSMcanthenbeusedtofindtheoptimumsettingsfortheparametersbasedonpredefinedobjectives,suchasminimizingporosityormaximizingstrength.Ot