A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties
A new nonprobabilistic reliability-based topology optimization method for continuum structures with displacement constraints is proposed in this paper, in which the optimal layout consists of solid material and truss-like microstructure material simultaneously. The unknown-but-bounded uncertainties...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/151424 |
| _version_ | 1826128606879809536 |
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| author | Wang, Lei Liang, Jinxiong Liu, Dongliang Chen, Wenpin |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Wang, Lei Liang, Jinxiong Liu, Dongliang Chen, Wenpin |
| author_sort | Wang, Lei |
| collection | NTU |
| description | A new nonprobabilistic reliability-based topology optimization method for continuum structures with displacement constraints is proposed in this paper, in which the optimal layout consists of solid material and truss-like microstructure material simultaneously. The unknown-but-bounded uncertainties that exist in material properties, external loads, and safety displacements are considered. By utilizing the representative volume element analysis, rules of macro-micro stiffness performance equivalence can be confirmed. A solid material and truss-like microstructure material structure integrated design interpolation model is firstly constructed, in which design domain elements can be conducted to select solid material or truss-like microstructure material by a combination of the finite element method in the topology optimization process. Moreover, a new nonprobabilistic reliability measuring index, namely, the optimization feature distance is defined by making use of the area-ratio ideas. Furthermore, the adjoint vector method is employed to obtain the sensitivity information between the reliability measure and design variables. By utilizing the method of moving asymptotes, the investigated optimization problem can be iteratively solved. The effectiveness of the developed methodology is eventually demonstrated by two examples. |
| first_indexed | 2024-10-01T07:27:40Z |
| format | Journal Article |
| id | ntu-10356/151424 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:27:40Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1514242021-06-14T05:47:12Z A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties Wang, Lei Liang, Jinxiong Liu, Dongliang Chen, Wenpin School of Civil and Environmental Engineering Engineering::Civil engineering Macro-micro Stiffness Performance Equivalence Nonprobabilistic Reliability-based Topology Optimization A new nonprobabilistic reliability-based topology optimization method for continuum structures with displacement constraints is proposed in this paper, in which the optimal layout consists of solid material and truss-like microstructure material simultaneously. The unknown-but-bounded uncertainties that exist in material properties, external loads, and safety displacements are considered. By utilizing the representative volume element analysis, rules of macro-micro stiffness performance equivalence can be confirmed. A solid material and truss-like microstructure material structure integrated design interpolation model is firstly constructed, in which design domain elements can be conducted to select solid material or truss-like microstructure material by a combination of the finite element method in the topology optimization process. Moreover, a new nonprobabilistic reliability measuring index, namely, the optimization feature distance is defined by making use of the area-ratio ideas. Furthermore, the adjoint vector method is employed to obtain the sensitivity information between the reliability measure and design variables. By utilizing the method of moving asymptotes, the investigated optimization problem can be iteratively solved. The effectiveness of the developed methodology is eventually demonstrated by two examples. The authors would like to thank the National Nature Science Foundation of China (Grants 11602012 and 11432002), the Pre-research Field Foundation of Equipment Development Department of China (Grant 61402100103), the Aeronautical Science Foundation of China (Grant 2017ZA51012), and the Defense Industrial Technology Development Program (Grants JCKY2016204B101 and JCKY2017208B001) for the financial supports. 2021-06-14T05:47:12Z 2021-06-14T05:47:12Z 2019 Journal Article Wang, L., Liang, J., Liu, D. & Chen, W. (2019). A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties. International Journal for Numerical Methods in Engineering, 119(4), 239-260. https://dx.doi.org/10.1002/nme.6048 0029-5981 0000-0002-7206-8501 https://hdl.handle.net/10356/151424 10.1002/nme.6048 2-s2.0-85062719214 4 119 239 260 en International Journal for Numerical Methods in Engineering © 2019 John Wiley & Sons, Ltd. All rights reserved. |
| spellingShingle | Engineering::Civil engineering Macro-micro Stiffness Performance Equivalence Nonprobabilistic Reliability-based Topology Optimization Wang, Lei Liang, Jinxiong Liu, Dongliang Chen, Wenpin A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title | A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title_full | A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title_fullStr | A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title_full_unstemmed | A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title_short | A novel reliability-based topology optimization framework for the concurrent design of solid and truss-like material structures with unknown-but-bounded uncertainties |
| title_sort | novel reliability based topology optimization framework for the concurrent design of solid and truss like material structures with unknown but bounded uncertainties |
| topic | Engineering::Civil engineering Macro-micro Stiffness Performance Equivalence Nonprobabilistic Reliability-based Topology Optimization |
| url | https://hdl.handle.net/10356/151424 |
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