Deep generative models for topology optimization

Abstract

Topology optimization constitutes a powerful computational approach for devising structures exhibiting optimized performance under designated constraints. In this thesis, we introduce a deep generative model, based on diffusion models, to address the minimum compliance problem. The minimum compliance problem entails the identification of an optimal material distribution within a prescribed design domain, such that structural stiffness is maximized or, equivalently, compliance—a metric gauging flexibility—is minimized, subject to specific loading and boundary conditions. Deep generative models represent a category of deep learning algorithms that have emerged as a propitious alternative to conventional topology optimization methodologies. These models, which encompass Variational Autoencoders (VAEs), Generative Adversarial Networks (GANs), and their variations, have demonstrated remarkable success in engendering high-quality designs through data-driven processes. Our research presents a successful framework based on the diffusion model which outperforms GAN-based models.

Date of Award	2023
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology
Supervisor	Xiaoping WANG (Supervisor) & Zhen Zhang (Supervisor)