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Research Article

An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

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Pages 382-398 | Received 21 Jun 2021, Accepted 18 Oct 2021, Published online: 13 Dec 2021

References

  • Biswas, Raktim, and Deepak Sharma. 2021. “A Single-Loop Shifting Vector Method with Conjugate Gradient Search for Reliability-Based Design Optimization.” Engineering Optimization 53 (6): 1044–1063.
  • Breitung, Karl. 1984. “Asymptotic Approximations for Multinormal Integrals.” Journal of Engineering Mechanics 110 (3): 357–366. https://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%281984%29110%3A3%28357%29.
  • Chen, Xiaoguang, Timothy Hasselman, and Douglas Neill. 1997. “Reliability Based Structural Design Optimization for Practical Applications.” In Proceedings of the 38th Structures, Structural Dynamics, and Materials Conference, Paper No. AIAA-97-1403, 2724–2732. Reston, VA: American Institute of Aeronautics and Astronautics. doi:10.2514/6.1997-1403.
  • Chen, Zhenzhong, Siping Peng, Xiaoke Li, Haobo Qiu, Huadi Xiong, Liang Gao, and Peigen Li. 2015. “An Important Boundary Sampling Method for Reliability-Based Design Optimization Using Kriging Model.” Structural and Multidisciplinary Optimization 52: 55–70.
  • Chen, Zhenzhong, Haobo Qiu, Liang Gao, Xiaoke Li, and Peigen Li. 2014. “A Local Adaptive Sampling Method for Reliability-Based Design Optimization Using Kriging Model.” Structural and Multidisciplinary Optimization 49: 401–416.
  • Du, Xiaoping, and Wei Chen. 2004. “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design.” Journal of Mechanical Design 126 (2): 225–233. doi:10.1115/1.1649968.
  • Ezzati, Ghasem, Musa Mammadov, and Siddhivinayak Kulkarni. 2015. “A New Reliability Analysis Method Based on the Conjugate Gradient Direction.” Structural and Multidisciplinary Optimization 51 (1): 89–98.
  • Fan, Xiaoning, Pingfeng Wang, and FangFang Hao. 2019. “Reliability-Based Design Optimization of Crane Bridges Using Kriging-Based Surrogate Models.” Structural and Multidisciplinary Optimization 59 (3): 993–1005.
  • Hao, Peng, Yutian Wang, Chen Liu, Bo Wang, and Hao Wu. 2017. “A Novel Non-Probabilistic Reliability-Based Design Optimization Algorithm Using Enhanced Chaos Control Method.” Computer Methods in Applied Mechanics and Engineering 318: 572–593. https://www.sciencedirect.com/science/article/pii/S0045782516315626.
  • Hao, Peng, Yutian Wang, Rui Ma, Hongliang Liu, Bo Wang, and Gang Li. 2019. “A New Reliability-Based Design Optimization Framework Using Isogeometric Analysis.” Computer Methods in Applied Mechanics and Engineering 345: 476–501. https://www.sciencedirect.com/science/article/pii/S0045782518305632.
  • Hao, Peng, Hao Yang, Yutian Wang, Xuanxiu Liu, Bo Wang, and Gang Li. 2021. “Efficient Reliability-Based Design Optimization of Composite Structures Via Isogeometric Analysis.” Reliability Engineering & System Safety 209: Article 107465. https://www.sciencedirect.com/science/article/pii/S0951832021000338.
  • Hasofer, A. M., and N. Lind. 1974. “Exact and Invariant Second-Moment Code Format.” Journal of Engineering Mechanics 100: 111–121. https://www.semanticscholar.org/paper/Exact-and-Invariant-Second-Moment-Code-Format-Hasofer-Lind/cf1ec25d562e585a2521be5eafdbc6042b2e6d09.
  • Jeong, Seong-Beom, and Gyung-Jin Park. 2017. “Single Loop Single Vector Approach Using the Conjugate Gradient in Reliability Based Design Optimization.” Structural and Multidisciplinary Optimization 55 (4): 1329–1344.
  • Jiang, Chen, Haobo Qiu, Liang Gao, Xiwen Cai, and Peigen Li. 2017. “An Adaptive Hybrid Single-Loop Method for Reliability-Based Design Optimization Using Iterative Control Strategy.” Structural and Multidisciplinary Optimization 56 (6): 1271–1286.
  • Ju, Byeong Hyeon, and Byung Chai Lee. 2008. “Reliability-Based Design Optimization Using a Moment Method and a Kriging Metamodel.” Engineering Optimization 40 (5): 421–438.
  • Keshtegar, Behrooz. 2016. “Chaotic Conjugate Stability Transformation Method for Structural Reliability Analysis.” Computer Methods in Applied Mechanics and Engineering 310: 866–885.
  • Keshtegar, Behrooz, and Peng Hao. 2018. “Enhanced Single-Loop Method for Efficient Reliability-Based Design Optimization with Complex Constraints.” Structural and Multidisciplinary Optimization 57 (4): 1731–1747.
  • Keshtegar, Behrooz, Peng Hao, and Zeng Meng. 2017. “A Self-Adaptive Modified Chaos Control Method for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 55 (1): 63–75.
  • Lee, Ikjin, K. K. Choi, and David Gorsich. 2010. “Sensitivity Analyses of FORM-Based and DRM-Based Performance Measure Approach (PMA) for Reliability-Based Design Optimization (RBDO).” International Journal for Numerical Methods in Engineering 82 (1): 26–46. https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.2752.
  • Li, Gang, Zeng Meng, and Hao Hu. 2015. “An Adaptive Hybrid Approach for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 51: 1051–1065.
  • Li, Mingyang, and Zequn Wang. 2019. “Surrogate Model Uncertainty Quantification for Reliability-Based Design Optimization.” Reliability Engineering & System Safety 192 (Special Issue on Complex Systems RAMS Optimization: Methods and Applications): Article ID 106432. https://www.sciencedirect.com/science/article/pii/S0951832018305611.
  • Li, Mingyang, and Zequn Wang. 2020. “Heterogeneous Uncertainty Quantification Using Bayesian Inference for Simulation-Based Design Optimization.” Structural Safety 85: Article ID 101954. https://www.sciencedirect.com/science/article/pii/S0167473020300333.
  • Li, Xu, Chunlin Gong, Liangxian Gu, Zhao Jing, Hai Fang, and Ruichao Gao. 2019. “A Reliability-Based Optimization Method Using Sequential Surrogate Model and Monte Carlo Simulation.” Structural and Multidisciplinary Optimization 59: 439–460.
  • Liang, Jinghong, Zissimos Mourelatos, and Jian Tu. 2008. “A Single-Loop Method for Reliability-Based Design Optimization.” International Journal of Product Development 5 (1-2): 76–92.
  • Meng, Zeng, and Behrooz Keshtegar. 2019. “Adaptive Conjugate Single-Loop Method for Efficient Reliability-Based Design and Topology Optimization.” Computer Methods in Applied Mechanics and Engineering 344: 95–119. https://www.sciencedirect.com/science/article/pii/S004578251830505X.
  • Meng, Zeng, Gang Li, Bo Ping Wang, and Peng Hao. 2015. “A Hybrid Chaos Control Approach of the Performance Measure Functions for Reliability-Based Design Optimization.” Computers & Structures 146: 32–43.
  • Meng, Zeng, Dixiong Yang, Huanlin Zhou, and Bo Wang. 2018. “Convergence Control of Single Loop Approach for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 57 (3): 1079–1091.
  • Pingel, Detlef, Peter Schmelcher, and F. Diakonos. 2004. “Stability Transformation: A Tool to Solve Nonlinear Problems.” Physics Reports—The Review Section of Physics Letters 400: 67–148.
  • Ramu, Palaniappan, Xueyong Qu, Byeng Dong Youn, Raphael Haftka, and Kyung Choi. 2006. “Inverse Reliability Measures and Reliability-Based Design Optimisation.” International Journal of Reliability and Safety 1 (1/2): 187–205.
  • Reddy, M. V., R. V. Grandhi, and D. A. Hopkins. 1994. “Reliability Based Structural Optimization: A Simplified Safety Index Approach.” Computers & Structures 53 (6): 1407–1418.
  • Song, Kunling, Yugang Zhang, Xinchen Zhuang, Xinshui Yu, and Bifeng Song. 2021. “Reliability-Based Design Optimization Using Adaptive Surrogate Model and Importance Sampling-Based Modified SORA Method.” Engineering with Computers 37: 1295–1314.
  • Tu, J., K. K. Choi, and Y. H. Park. 1999. “A New Study on Reliability-Based Design Optimization.” Journal of Mechanical Design 121 (4): 557–564.
  • Wang, Yutian, Peng Hao, Hao Yang, Bo Wang, and Qiang Gao. 2020. “A Confidence-Based Reliability Optimization with Single Loop Strategy and Second-Order Reliability Method.” Computer Methods in Applied Mechanics and Engineering 372: Article ID 113436. https://www.sciencedirect.com/science/article/pii/S0045782520306216.
  • Wu, Y.-T., H. R. Millwater, and T. A. Cruse. 1990. “Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions.” AIAA Journal 28 (9): 1663–1669.
  • Yang, Dixiong, and Ping Yi. 2009. “Chaos Control of Performance Measure Approach for Evaluation of Probabilistic Constraints.” Structural and Multidisciplinary Optimization 38 (1): 83–92.
  • Yi, Ping, Zuo Zhu, and Jinxin Gong. 2016. “An Approximate Sequential Optimization and Reliability Assessment Method for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 54 (6): 1367–1378.
  • Youn, Byeng D., Kyung K. Choi, and Liu Du. 2005. “Enriched Performance Measure Approach for Reliability-Based Design Optimization.” AIAA Journal 43 (4): 874–884.
  • Youn, Byeng Dong, Kyung Choi, and Y. H. Park. 2003. “Hybrid Analysis Method for Reliability-Based Design Optimization.” Journal of Mechanical Design 125 (2): 221–232.

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