Efficient computation of states and sensitivities for compound structural optimisation problems using a Linear Dependency Aware Solver (LDAS)

Stijn Koppen*, Max van der Kolk, Sanne van den Boom, Matthijs Langelaar

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Downloads (Pure)

Abstract

Real-world structural optimisation problems involve multiple loading conditions and design constraints, with responses typically depending on states of discretised governing equations. Generally, one uses gradient-based nested analysis and design approaches to solve these problems. Herein, solving both physical and adjoint problems dominates the overall computational effort. Although not commonly detected, real-world problems can contain linear dependencies between encountered physical and adjoint loads. Manually keeping track of such dependencies becomes tedious as design problems become increasingly involved. This work proposes using a Linear Dependency Aware Solver (LDAS) to detect and exploit such dependencies. The proposed algorithm can efficiently detect linear dependencies between all loads and obtain the exact solution while avoiding unnecessary solves entirely and automatically. Illustrative examples demonstrate the need and benefits of using an LDAS, including a run-time experiment.

Original languageEnglish
Article number273
Number of pages14
JournalStructural and Multidisciplinary Optimization
Volume65
Issue number9
DOIs
Publication statusPublished - 2022

Keywords

  • Adjoint
  • Computational efficiency
  • Linear dependency
  • Topology optimisation

Fingerprint

Dive into the research topics of 'Efficient computation of states and sensitivities for compound structural optimisation problems using a Linear Dependency Aware Solver (LDAS)'. Together they form a unique fingerprint.

Cite this