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Reliability-Based Topology Optimization Using Stochastic Response Surface Method with Sparse Grid Design
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.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A mathematical framework is developed which integrates the reliability concept into topology optimization to solve reliability-based topology optimization (RBTO) problems under uncertainty.
Two typical methodologies have been presented and implemented, including the performance measure approach (PMA) and the sequential optimization and reliability assessment (SORA).
To enhance the computational efficiency of reliability analysis, stochastic response surface method (SRSM) is applied to approximate the true limit state function with respect to the normalized random variables, combined with the reasonable design of experiments generated by sparse grid design, which was proven to be an effective and special discretization technique.
The uncertainties such as material property and external loads are considered on three numerical examples: a cantilever beam, a loaded knee structure, and a heat conduction problem.
Monte-Carlo simulations are also performed to verify the accuracy of the failure probabilities computed by the proposed approach.
Based on the results, it is demonstrated that application of SRSM with SGD can produce an efficient reliability analysis in RBTO which enables a more reliable design than that obtained by DTO.
It is also found that, under identical accuracy, SORA is superior to PMA in view of computational efficiency.
American Psychological Association (APA)
Zhao, Qinghai& Chen, Xiaokai& Ma, Z.-D.& Lin, Yi. 2015. Reliability-Based Topology Optimization Using Stochastic Response Surface Method with Sparse Grid Design. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073950
Modern Language Association (MLA)
Zhao, Qinghai…[et al.]. Reliability-Based Topology Optimization Using Stochastic Response Surface Method with Sparse Grid Design. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1073950
American Medical Association (AMA)
Zhao, Qinghai& Chen, Xiaokai& Ma, Z.-D.& Lin, Yi. Reliability-Based Topology Optimization Using Stochastic Response Surface Method with Sparse Grid Design. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073950