Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties

This study presents a nonprobabilistic reliability-based topology optimization (NRBTO) framework that combines a multi-material interpolation model and interval mathematics to achieve an optimal layout design for heat-transfer structures under unknown but bounded (UBB) uncertainties. In terms of the...

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Main Authors: Wang, Lei, Liang, Jinxiong, Zhang, Zhongxiang, Yang, Yaowen
Other Authors: School of Civil and Environmental Engineering
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/140099
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1400992020-05-26T07:36:20Z Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties Wang, Lei Liang, Jinxiong Zhang, Zhongxiang Yang, Yaowen School of Civil and Environmental Engineering Engineering::Civil engineering Nonprobabilistic Reliability-based Topology Optimization (NRBTO) Interval Mathematics This study presents a nonprobabilistic reliability-based topology optimization (NRBTO) framework that combines a multi-material interpolation model and interval mathematics to achieve an optimal layout design for heat-transfer structures under unknown but bounded (UBB) uncertainties. In terms of the uncertainty quantification (UQ) issue, the interval dimension-wise method (IDWM) based on set collocation theory is first proposed to effectively determine the bounds of nodal temperature responses. For safety reasons, the interval reliability (IR) index corresponding to the thermal constraint is defined, and then a new design policy, i.e., the strategy of nonprobabilistic reliability oriented topological optimization is established. To circumvent problems of large-scale variable updating in a multi-material topology optimization procedure, theoretical deductions of the design sensitivity analysis are further given based on the adjoint-vector criterion and the chain principle. The validity and feasibility of the developed methodology are eventually demonstrated by several application examples. 2020-05-26T07:36:20Z 2020-05-26T07:36:20Z 2018 Journal Article Wang, L., Liang, J., Zhang, Z., & Yang, Y. (2019). Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties. Structural and Multidisciplinary Optimization, 59(5), 1599-1620. doi:10.1007/s00158-018-2146-5 1615-147X https://hdl.handle.net/10356/140099 10.1007/s00158-018-2146-5 2-s2.0-85057120806 5 59 1599 1620 en Structural and Multidisciplinary Optimization © 2018 Springer-Verlag GmbH Germany, part of Springer Nature. All rights reserved.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Civil engineering
Nonprobabilistic Reliability-based Topology Optimization (NRBTO)
Interval Mathematics
spellingShingle Engineering::Civil engineering
Nonprobabilistic Reliability-based Topology Optimization (NRBTO)
Interval Mathematics
Wang, Lei
Liang, Jinxiong
Zhang, Zhongxiang
Yang, Yaowen
Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
description This study presents a nonprobabilistic reliability-based topology optimization (NRBTO) framework that combines a multi-material interpolation model and interval mathematics to achieve an optimal layout design for heat-transfer structures under unknown but bounded (UBB) uncertainties. In terms of the uncertainty quantification (UQ) issue, the interval dimension-wise method (IDWM) based on set collocation theory is first proposed to effectively determine the bounds of nodal temperature responses. For safety reasons, the interval reliability (IR) index corresponding to the thermal constraint is defined, and then a new design policy, i.e., the strategy of nonprobabilistic reliability oriented topological optimization is established. To circumvent problems of large-scale variable updating in a multi-material topology optimization procedure, theoretical deductions of the design sensitivity analysis are further given based on the adjoint-vector criterion and the chain principle. The validity and feasibility of the developed methodology are eventually demonstrated by several application examples.
author2 School of Civil and Environmental Engineering
author_facet School of Civil and Environmental Engineering
Wang, Lei
Liang, Jinxiong
Zhang, Zhongxiang
Yang, Yaowen
format Article
author Wang, Lei
Liang, Jinxiong
Zhang, Zhongxiang
Yang, Yaowen
author_sort Wang, Lei
title Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
title_short Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
title_full Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
title_fullStr Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
title_full_unstemmed Nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
title_sort nonprobabilistic reliability oriented topological optimization for multi-material heat-transfer structures with interval uncertainties
publishDate 2020
url https://hdl.handle.net/10356/140099
_version_ 1681056076422709248