Robust topology optimization based on stochastic collocation methods under loading uncertainties
type: Item
instance of: scholarly article
title: Robust topology optimization based on stochastic collocation methods under loading uncertainties
zbMATH Open document ID: 1394.74146
DOI: 10.1155/2015/580980
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A robust topology optimization (RTO) approach with consideration of loading uncertainties is developed in this paper. The stochastic collocation method combined with full tensor product grid and Smolyak sparse grid transforms the robust formulation into a weighted multiple loading deterministic problem at the collocation points. The proposed approach is amenable to implementation in existing commercial topology optimization software package and thus feasible to practical engineering problems. Numerical examples of two- and three-dimensional topology optimization problems are provided to demonstrate the proposed RTO approach and its applications. The optimal topologies obtained from deterministic and robust topology optimization designs under tensor product grid and sparse grid with different levels are compared with one another to investigate the pros and cons of optimization algorithm on final topologies, and an extensive Monte Carlo simulation is also performed to verify the proposed approach.
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6926697
describes a project that uses: ESOFRAME
MaRDI profile type: Publication
Wikidata QID: Q59119449
full work available at URL: https://doi.org/10.1155/2015/580980
OpenAlex ID: W1690909340
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description: scientific article; zbMATH DE number 6926697