Local stress constraints in topology optimization of structures subjected to arbitrary dynamic loads: a stress aggregation-free approach

Oliver Giraldo-Londoño, Miguel A. Aguiló, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We present an augmented Lagrangian-based approach for stress-constrained topology optimization of structures subjected to general dynamic loading. The approach renders structures that satisfy the stress constraints locally at every time step. To solve problems with a large number of stress constraints, we normalize the penalty term of the augmented Lagrangian function with respect to the total number of constraints (i.e., the number of elements in the mesh times the number of time steps). Moreover, we solve the stress-constrained problem effectively by penalizing constraints associated with high stress values more severely than those associated with low stress values. We integrate the equations of motion using the HHT-α method and conduct the sensitivity analysis consistently with this method via the “discretize-then-differentiate” approach. We present several numerical examples that elucidate the effectiveness of the approach to solve dynamic, stress-constrained problems under several loading scenarios including loads that change in magnitude and/or direction and loads that change in position as a function of time.

Original languageEnglish (US)
Pages (from-to)3287-3309
Number of pages23
JournalStructural and Multidisciplinary Optimization
Volume64
Issue number6
DOIs
StatePublished - Dec 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

Keywords

  • Augmented Lagrangian
  • Elastodynamics
  • HHT-α method
  • Local stress constraints
  • Newmark-β method
  • Topology optimization

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