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Using Bayesian optimization for warpage compensation in injection molding

Steffen Tillmann, Marek Behr, Stefanie Elgeti

2024Materialwissenschaft und Werkstofftechnik14 citationsDOIOpen Access PDF

Abstract

Abstract In injection molding, shrinkage and warpage lead to a deformation of the produced parts with respect to the cavity shape. One method to mitigate this effect is to adapt the cavity shape to the expected deformation. This deformation can be determined using appropriate simulation models, which then also serve as a basis for determining the optimal cavity shape. Shape optimization usually requires a sequence of forward simulations, which can be computationally expensive. To reduce this computational cost, we use Bayesian optimization which uses Gaussian process regression as a reduced order model. Additionally, Gaussian process regression has the benefit that it allows to account for uncertainty in the model parameters and thus provides a means to investigate their influence on the optimization result. We present a Gaussian process regression trained with samples from a finite‐element solid‐body model. It predicts the deformation of the product after solidification and, together with Bayesian optimization, allows for efficient cavity optimization.

Topics & Concepts

Finite element methodDeformation (meteorology)Gaussian processBayesian optimizationShrinkageCompensation (psychology)GaussianProcess (computing)Computer scienceMolding (decorative)Basis (linear algebra)Mathematical optimizationAlgorithmMathematicsEngineeringMaterials scienceMechanical engineeringStructural engineeringMachine learningPhysicsComposite materialGeometryPsychoanalysisPsychologyOperating systemQuantum mechanicsInjection Molding Process and PropertiesOptimal Experimental Design MethodsAdvanced Multi-Objective Optimization Algorithms