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...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/140099 |
| _version_ | 1826109713599692800 |
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| author | Wang, Lei Liang, Jinxiong Zhang, Zhongxiang Yang, Yaowen |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Wang, Lei Liang, Jinxiong Zhang, Zhongxiang Yang, Yaowen |
| author_sort | Wang, Lei |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T02:22:28Z |
| format | Journal Article |
| id | ntu-10356/140099 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:22:28Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-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. |
| 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 |
| title | 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_short | 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 |
| topic | Engineering::Civil engineering Nonprobabilistic Reliability-based Topology Optimization (NRBTO) Interval Mathematics |
| url | https://hdl.handle.net/10356/140099 |
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