Details
| Original language | English |
|---|---|
| Article number | 103196 |
| Journal | Advances in engineering software |
| Volume | 173 |
| Early online date | 5 Aug 2022 |
| Publication status | Published - Nov 2022 |
Abstract
The present paper explores the feasibility of topology optimization of stochastic dynamical systems in the framework of the probability density evolution method (PDEM). A new method is proposed for solving dynamic-reliability-based topology optimization (DRBTO) problems by combining the PDEM, the ground structure approach and the solid isotropic material with penalization (SIMP) model. In the investigated optimization problems, the first-passage probability is considered as an objective or constraint function. To obtain a clear layout of the optimized structure, the topology of the structure is described by the ground structure approach together with the SIMP model. The PDEM is employed as an efficient approach to assess the first-passage probability. For improved numerical efficiency, an approximate formulation of the first-passage probability based on the important representative points (IRPs) is implemented. On the basis of the approximate formulation of the first-passage probability, a relationship between the sensitivity of the first-passage probability and the transient response is obtained. The adjoint sensitivity analysis of the transient response is introduced to avoid extra numerical efforts. Then, by incorporating the first-passage probability and its sensitivity into the method of moving asymptotes (MMA), the investigated DRBTO problems are solved in an effective manner. The DRBTO of a braced frame structure is presented to demonstrate the availability and effectiveness of the proposed method.
Keywords
- Braced frame structure, First-passage probability, Probability density evolution method, Sensitivity analysis, Topology optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- General Engineering
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In: Advances in engineering software, Vol. 173, 103196, 11.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An efficient approach for dynamic-reliability-based topology optimization of braced frame structures with probability density evolution method
AU - Yang, Jia Shu
AU - Chen, Jian Bing
AU - Beer, Michael
AU - Jensen, Hector
N1 - Funding Information: The financial support from the National Natural Science Foundation of China (the National Distinguished Youth Fund of NSFC with Grant No. 51725804 and the NSFC-Guangdong Province Joint Project Grant No. U1711264 ) is highly appreciated. The financial support from CONICYT (National Commission for Scientific and Technological Research) under Grant No. 1200087 is also acknowledged. In addition, the financial support from China Scholarship Council (CSC) is gratefully appreciated by the first author.
PY - 2022/11
Y1 - 2022/11
N2 - The present paper explores the feasibility of topology optimization of stochastic dynamical systems in the framework of the probability density evolution method (PDEM). A new method is proposed for solving dynamic-reliability-based topology optimization (DRBTO) problems by combining the PDEM, the ground structure approach and the solid isotropic material with penalization (SIMP) model. In the investigated optimization problems, the first-passage probability is considered as an objective or constraint function. To obtain a clear layout of the optimized structure, the topology of the structure is described by the ground structure approach together with the SIMP model. The PDEM is employed as an efficient approach to assess the first-passage probability. For improved numerical efficiency, an approximate formulation of the first-passage probability based on the important representative points (IRPs) is implemented. On the basis of the approximate formulation of the first-passage probability, a relationship between the sensitivity of the first-passage probability and the transient response is obtained. The adjoint sensitivity analysis of the transient response is introduced to avoid extra numerical efforts. Then, by incorporating the first-passage probability and its sensitivity into the method of moving asymptotes (MMA), the investigated DRBTO problems are solved in an effective manner. The DRBTO of a braced frame structure is presented to demonstrate the availability and effectiveness of the proposed method.
AB - The present paper explores the feasibility of topology optimization of stochastic dynamical systems in the framework of the probability density evolution method (PDEM). A new method is proposed for solving dynamic-reliability-based topology optimization (DRBTO) problems by combining the PDEM, the ground structure approach and the solid isotropic material with penalization (SIMP) model. In the investigated optimization problems, the first-passage probability is considered as an objective or constraint function. To obtain a clear layout of the optimized structure, the topology of the structure is described by the ground structure approach together with the SIMP model. The PDEM is employed as an efficient approach to assess the first-passage probability. For improved numerical efficiency, an approximate formulation of the first-passage probability based on the important representative points (IRPs) is implemented. On the basis of the approximate formulation of the first-passage probability, a relationship between the sensitivity of the first-passage probability and the transient response is obtained. The adjoint sensitivity analysis of the transient response is introduced to avoid extra numerical efforts. Then, by incorporating the first-passage probability and its sensitivity into the method of moving asymptotes (MMA), the investigated DRBTO problems are solved in an effective manner. The DRBTO of a braced frame structure is presented to demonstrate the availability and effectiveness of the proposed method.
KW - Braced frame structure
KW - First-passage probability
KW - Probability density evolution method
KW - Sensitivity analysis
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85135526351&partnerID=8YFLogxK
U2 - 10.1016/j.advengsoft.2022.103196
DO - 10.1016/j.advengsoft.2022.103196
M3 - Article
AN - SCOPUS:85135526351
VL - 173
JO - Advances in engineering software
JF - Advances in engineering software
SN - 0965-9978
M1 - 103196
ER -