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Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties
Joint Authors
Ma, Z.-D.
Zhao, Qinghai
Chen, Xiaokai
Lin, Yi
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhao, Qinghai& Chen, Xiaokai& Ma, Z.-D.& Lin, Yi. 2015. Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074188
Modern Language Association (MLA)
Zhao, Qinghai…[et al.]. Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties. Mathematical Problems in Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1074188
American Medical Association (AMA)
Zhao, Qinghai& Chen, Xiaokai& Ma, Z.-D.& Lin, Yi. Robust Topology Optimization Based on Stochastic Collocation Methods under Loading Uncertainties. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074188