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

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

0.00 Avg rating0 Votes
Article ID: iaor2014887
Volume: 49
Issue: 5
Start Page Number: 831
End Page Number: 837
Publication Date: May 2014
Journal: Structural and Multidisciplinary Optimization
Authors: , ,
Keywords: design, programming: linear, programming: dynamic
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.

Reviews

Required fields are marked *. Your email address will not be published.