Neural Networks vs. Splines: Advances in Numerical Extruder Design

TL;DR

This paper introduces a neural network-based shape parameterization method for optimizing mixing element geometries in extruders, enabling more flexible and comprehensive design exploration compared to traditional spline-based approaches.

Contribution

The work develops a neural network-driven geometry parameterization that surpasses spline methods by allowing unrestricted shape modifications and topological changes in numerical extruder design.

Findings

Neural network parameterization enables exploration of diverse geometries.

The method outperforms spline-based approaches in design flexibility.

Competitive results demonstrate the approach's effectiveness.

Abstract

We present a novel application of neural networks to design improved mixing elements for single-screw extruders. Specifically, we propose to use neural networks in numerical shape optimization to parameterize geometries. Geometry parameterization is crucial in enabling efficient shape optimization as it allows for optimizing complex shapes using only a few design variables. Recent approaches often utilize CAD data in conjunction with spline-based methods where the spline's control points serve as design variables. Consequently, these approaches rely on the same design variables as specified by the human designer. While this choice is convenient, it either restricts the design to small modifications of given, initial design features - effectively prohibiting topological changes - or yields undesirably many design variables. In this work, we step away from CAD and spline-based approaches and construct an artificial, feature-dense yet low-dimensional optimization space using a generative neural network. Using the neural network for the geometry parameterization extends state-of-the-art methods in that the resulting design space is not restricted to user-prescribed modifications of certain basis shapes. Instead, within the same optimization space, we can interpolate between and explore seemingly unrelated designs. To show the performance of this new approach, we integrate the developed shape parameterization into our numerical design framework for dynamic mixing elements in plastics extrusion. Finally, we challenge the novel method in a competitive setting against current free-form deformation-based approaches and demonstrate the method's performance even at this early stage.