TopoDiff: A Performance and Constraint-Guided Diffusion Model for Topology Optimization

• URL: http://arxiv.org/abs/2208.09591v1
• Date: Sat, 20 Aug 2022 03:26:00 GMT
• Title: TopoDiff: A Performance and Constraint-Guided Diffusion Model for Topology Optimization
• Authors: Fran\c{c}ois Maz\'e, Faez Ahmed
• Abstract summary: TopoDiff is a conditional diffusion-model-based architecture for performance-aware and manufacturability-aware topology optimization. Our method significantly outperforms a state-of-art conditional GAN by reducing the average error on physical performance by a factor of eight.
• Score: 4.091593765662773
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Structural topology optimization, which aims to find the optimal physical structure that maximizes mechanical performance, is vital in engineering design applications in aerospace, mechanical, and civil engineering. Generative adversarial networks (GANs) have recently emerged as a popular alternative to traditional iterative topology optimization methods. However, these models are often difficult to train, have limited generalizability, and due to their goal of mimicking optimal topologies, neglect manufacturability and performance objectives like mechanical compliance. We propose TopoDiff, a conditional diffusion-model-based architecture to perform performance-aware and manufacturability-aware topology optimization that overcomes these issues. Our model introduces a surrogate model-based guidance strategy that actively favors structures with low compliance and good manufacturability. Our method significantly outperforms a state-of-art conditional GAN by reducing the average error on physical performance by a factor of eight and by producing 11 times fewer infeasible samples. By introducing diffusion models to topology optimization, we show that conditional diffusion models have the ability to outperform GANs in engineering design synthesis applications too. Our work also suggests a general framework for engineering optimization problems using diffusion models and external performance and constraint-aware guidance.

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