On the consistency of adjoint sensitivity analysis for structural optimization of linear dynamic problems

Jakob S. Jensen, Praveen B. Nakshatrala, Daniel A. Tortorelli

Research output: Contribution to journalArticlepeer-review

Abstract

Gradient-based topology optimization typically involves thousands or millions of design variables. This makes efficient sensitivity analysis essential and for this the adjoint variable method (AVM) is indispensable. For transient problems it has been observed that the traditional AVM, based on a differentiate-then-discretize approach, may lead to inconsistent sensitivities. Herein this effect is explicitly demonstrated for a single dof system and the source of inconsistency is identified. Additionally, we outline an alternative discretize-then-differentiate AVM that inherently produces consistent sensitivities.

Original languageEnglish (US)
Pages (from-to)831-837
Number of pages7
JournalStructural and Multidisciplinary Optimization
Volume49
Issue number5
DOIs
StatePublished - May 2014

Keywords

  • Adjoint sensitivity analysis
  • Numerical time integration
  • Topology optimization

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

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