Efficient sensitivity analysis for structural optimization
type: Item
instance of: scholarly article
title: Efficient sensitivity analysis for structural optimization
zbMATH Open document ID: 0848.73044
DOI: 10.1016/0045-7825(94)90080-9
author: Uri Kirsch
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-06-24T00:00:00Z
review text: Efficient sensitivity analysis, based on high quality approximations of displacements, is presented. The improved approximations are achieved by combining the efficiency of local approximations (series expansion) and the quality of global approximations (the reduced basis method). Three approximate sensitivity analysis methods are developed and compared: the direct method, the adjoint-variable method and the finite difference method. All the approximations are based on the results of a single exact analysis of the initial design, and they can be used with a general finite element system.
Mathematics Subject Classification ID: 74P99
zbMATH DE Number: 880979
zbMATH Keywords: series expansion
zbMATH Keywords: local approximations
zbMATH Keywords: global approximations
zbMATH Keywords: reduced basis method
zbMATH Keywords: direct method
zbMATH Keywords: adjoint-variable method
zbMATH Keywords: finite difference method
MaRDI profile type: Publication
full work available at URL: 0045-7825(94)90080-9
OpenAlex ID: W2060949219
cites work: Design sensitivity analysis of structural systems
cites work: Optimal structural remodeling of multi-objective systems
cites work: Accuracy problems associated with semi-analytical derivatives of static response
cites work: Reduced basis approximations of structural displacements for optimaldesign
cites work: Approximate structural reanalysis based on series expansion
description: scientific article; zbMATH DE number 880979