Efficient sensitivity analysis for structural optimization

DOI10.1016/0045-7825(94)90080-9zbMath0848.73044OpenAlexW2060949219MaRDI QIDQ1913126

Uri Kirsch

Publication date: 24 June 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)90080-9

zbMATH Keywords

finite difference methodseries expansiondirect methodreduced basis methodlocal approximationsglobal approximationsadjoint-variable method

Mathematics Subject Classification ID

Optimization problems in solid mechanics (74P99)

Related Items (7)

Nonlinear reanalysis for structural modifications based on residual increment approximations ⋮ An efficient design sensitivity analysis using element energies for topology optimization of a frequency response problem ⋮ Extension of reanalysis method, analysis of heat conduction by using CA and IC methods ⋮ Reanalysis and sensitivity reanalysis by combined approximations ⋮ Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment ⋮ Accurate displacement derivatives for structural optimization using approximate reanalysis ⋮ Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems

Cites Work

• Design sensitivity analysis of structural systems
• Accuracy problems associated with semi-analytical derivatives of static response
• Approximate structural reanalysis based on series expansion
• Optimal structural remodeling of multi-objective systems
• Reduced basis approximations of structural displacements for optimaldesign

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