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Original Articles

A multiple-design-point approach for reliability-based design optimization

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Pages 875-895 | Received 28 Jun 2017, Accepted 21 Jun 2018, Published online: 10 Aug 2018

References

  • Au, S. K., C. Papadimitriou, and J. L. Beck. 1998. “Treatment of Multiple Design Points in Reliability Methods.” Article presented at the Proceedings Fourth International Conference on Stochastic Structural Dynamics, Balkema, Rotterdam, Netherlands.
  • Au, S. K., C. Papadimitriou, and J. L. Beck. 1999. “Reliability of Uncertain Dynamical Systems with Multiple Design Points.” Structural Safety 21 (2): 113–133. doi: 10.1016/S0167-4730(99)00009-0
  • Chen, Zhenzhong, Xiaoke Li, Ge Chen, Liang Gao, Haobo Qiu, and Shengze Wang. 2018. “A Probabilistic Feasible Region Approach for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 57 (1): 359–372. doi:10.1007/s00158-017-1759-4.
  • 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 (1): 55–70. doi:10.1007/s00158-014-1173-0.
  • Chen, Zhenzhong, Haobo Qiu, Liang Gao, and Peigen Li. 2013a. “An Optimal Shifting Vector Approach for Efficient Probabilistic Design.” Structural and Multidisciplinary Optimization 47 (6): 905–920. doi:10.1007/s00158-012-0873-6.
  • 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 (3): 401–416. doi:10.1007/s00158-013-0988-4.
  • Chen, Zhenzhong, Haobo Qiu, Liang Gao, Liu Su, and Peigen Li. 2013b. “An Adaptive Decoupling Approach for Reliability-Based Design Optimization.” Computers and Structures 117: 58–66. doi:10.1016/j.compstruc.2012.12.001.
  • Chen, Zhenzhong, Haobo Qiu, Hongyan Hao, and Huadi Xiong. 2012. “A Reliability Index Based Decoupling Method for Reliability-Based Design Optimization.” In Advances in Product Development and Reliability III, edited by L. Gao, W. D. Li, Y. X. Zhao, and X. Y. Li, Vol. 544, 223–228. Wuhan, China: Trans Tech Publications.
  • Cho, Hyunkyoo, Sangjune Bae, K. K. Choi, David Lamb, and Ren-Jye Yang. 2014. “An Efficient Variable Screening Method for Effective Surrogate Models for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 50 (5): 717–738. doi:10.1007/s00158-014-1096-9.
  • Cho, Tae Min, and Byung Chai Lee. 2010. “Reliability-Based Design Optimization Using a Family of Methods of Moving Asymptotes.” Structural and Multidisciplinary Optimization 42 (2): 255–268. doi:10.1007/s00158-010-0480-3.
  • Cho, Tae Min, and Byung Chai Lee. 2011. “Reliability-Based Design Optimization Using Convex Linearization and Sequential Optimization and Reliability Assessment Method.” Structural Safety 33 (1): 42–50. doi:10.1016/j.strusafe.2010.05.003.
  • Der Kiureghian, Armen, and Taleen Dakessian. 1998. “Multiple Design Points in First and Second-Order Reliability.” Structural Safety 20 (1): 37–49. doi: 10.1016/S0167-4730(97)00026-X
  • Der Kiureghian, A., H.-Z. Lin, and S.-J. Hwang. 1987. “Second-Order Reliability Approximations.” Journal of Engineering Mechanics 113 (8): 1208–1225. doi:10.1061/(ASCE)0733-9399(1987)113:8(1208).
  • Du, Xiaoping. 2008. “Unified Uncertainty Analysis by the First Order Reliability Method.” Journal of Mechanical Design 130 (9): 091401. doi:10.1115/1.2943295.
  • 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.
  • Hohenbichler, M., and R. Rackwitz. 1988. “Improvement of Second-Order Reliability Estimates by Importance Sampling.” Journal of Engineering Mechanics 114 (12): 2195–2199. doi:10.1061/(ASCE)0733-9399(1988)114:12(2195).
  • Ho-Huu, V., T. Nguyen-Thoi, L. Le-Anh, and T. Nguyen-Trang. 2016. “An Effective Reliability-Based Improved Constrained Differential Evolution for Reliability-Based Design Optimization of Truss Structures.” Advances in Engineering Software 92: 48–56. doi:10.1016/j.advengsoft.2015.11.001.
  • Huang, Z. L., C. Jiang, Y. S. Zhou, Z. Luo, and Z. Zhang. 2016. “An Incremental Shifting Vector Approach for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 53 (3): 523–543. doi:10.1007/s00158-015-1352-7.
  • 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. doi:10.1007/s00158-016-1580-5.
  • Jiang, Chao, Shuo Han, Meng Ji, and Xu Han. 2015. “A New Method to Solve the Structural Reliability Index Based on Homotopy Analysis.” Acta Mechanica 226 (4): 1067–1083. doi:10.1007/s00707-014-1226-x.
  • 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. doi:10.1007/s00158-017-1719-z.
  • Le, Linh A., T. Bui-Vinh, V. Ho-Huu, and T. Nguyen-Thoi. 2017. “An Efficient Coupled Numerical Method for Reliability-Based Design Optimization of Steel Frames.” Journal of Constructional Steel Research 138: 389–400. doi:10.1016/j.jcsr.2017.08.002.
  • 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. doi:10.1002/nme.2752.
  • Lee, J.-O., Y.-S. Yang, and W.-S. Ruy. 2002. “A Comparative Study on Reliability-Index and Target-Performance-Based Probabilistic Structural Design Optimization.” Computers and Structures 80 (3-4): 257–269. doi:10.1016/s0045-7949(02)00006-8.
  • Li, Liansheng, Ji Hong Liu, and Shaohua Liu. 2013. “An Efficient Strategy for Multidisciplinary Reliability Design and Optimization Based on CSSO and PMA in SORA Framework.” Structural and Multidisciplinary Optimization 49 (2): 239–252. doi:10.1007/s00158-013-0966-x.
  • Li, Xiaoke, Haobo Qiu, Zhenzhong Chen, Liang Gao, and Xinyu Shao. 2016. “A Local Kriging Approximation Method Using MPP for Reliability-Based Design Optimization.” Computers and Structures 162: 102–115. doi:10.1016/j.compstruc.2015.09.004.
  • Li, Fan, Teresa Wu, Mengqi Hu, and Jin Dong. 2010. “An Accurate Penalty-Based Approach for Reliability-Based Design Optimization.” Research in Engineering Design 21 (2): 87–98. doi:10.1007/s00163-009-0083-4.
  • Lim, Jongmin, and Byungchai Lee. 2015. “A Semi-Single-Loop Method Using Approximation of Most Probable Point for Reliability-Based Design Optimization.” Structural and Multidisciplinary Optimization 53 (4): 745–757. doi:10.1007/s00158-015-1351-8.
  • Lim, Jongmin, Byungchai Lee, and Ikjin Lee. 2015. “Sequential Optimization and Reliability Assessment Based on Dimension Reduction Method for Accurate and Efficient Reliability-Based Design Optimization.” Journal of Mechanical Science and Technology 29 (4): 1349–1354. doi:10.1007/s12206-015-0303-y.
  • Lin, Po Ting, Hae Chang Gea, and Yogesh Jaluria. 2011. “A Modified Reliability Index Approach for Reliability-Based Design Optimization.” Journal of Mechanical Design 133 (4), doi:10.1115/1.4003842.
  • Lu, Hai Tao, Yu Ge Dong, and Fang Ying Wu. 2014. “Study of Computation for Structural Reliability Index Based on Penalty Function Method.” Applied Mechanics and Materials 635-637: 443–446. doi:10.4028/www.scientific.net/AMM.635-637.443.
  • Medina, Juan Camilo, and Alexandros A. Taflanidis. 2014. “Adaptive Importance Sampling for Optimization Under Uncertainty Problems.” Computer Methods in Applied Mechanics and Engineering 279: 133–162. doi:10.1016/j.cma.2014.06.025.
  • Meng, Zeng, Huanlin Zhou, Gang Li, and Hao Hu. 2017. “A Hybrid Sequential Approximate Programming Method for Second-Order Reliability-Based Design Optimization Approach.” Acta Mechanica. doi:10.1007/s00707-017-1808-5.
  • Mousavi, S. 2014. “A Strategy for Reliability-Based Multidisciplinary Design Optimization of Wind Turbine Using BLISS and PMA.” International Journal of Innovation, Management and Technology 5 (1): 71–77. doi:10.7763/ijimt.2014.v5.489.
  • Ren, Xuchun, Vaibhav Yadav, and Sharif Rahman. 2015. “Reliability-Based Design Optimization by Adaptive-Sparse Polynomial Dimensional Decomposition.” Structural and Multidisciplinary Optimization 53 (3): 425–452. doi:10.1007/s00158-015-1337-6.
  • Shin, Jaekwan, and Ikjin Lee. 2015. “Reliability Analysis and Reliability-Based Design Optimization of Roadway Horizontal Curves Using a First-Order Reliability Method.” Engineering Optimization 47 (5): 622–641. doi:10.1080/0305215x.2014.908871.
  • Sohouli, A., M. Yildiz, and A. Suleman. 2018. “Efficient Strategies for Reliability-Based Design Optimization of Variable Stiffness Composite Structures.” Structural and Multidisciplinary Optimization 57 (2): 689–704. doi:10.1007/s00158-017-1771-8.
  • Valdebenito, Marcos A., and Gerhart I. Schuëller. 2010. “A Survey on Approaches for Reliability-Based Optimization.” Structural and Multidisciplinary Optimization 42 (5): 645–663. doi:10.1007/s00158-010-0518-6.
  • Wu, Y. T., Youngwon Shin, R. Sues, and M. Cesare. 2001. “Safety-Factor Based Approach for Probability-Based Design Optimization.” Article presented at the Proceedings 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Number AIAA-2001-1522, Seattle, WA.
  • Xiang, Yibing, and Yongming Liu. 2011. “Application of Inverse First-Order Reliability Method for Probabilistic Fatigue Life Prediction.” Probabilistic Engineering Mechanics 26 (2): 148–156. doi:10.1016/j.probengmech.2010.11.001.
  • Youn, B. D., K. K. Choi, and L. Du. 2005a. “Enriched Performance Measure Approach for Reliability-Based Design Optimization.” AIAA Journal 43 (4): 874–884. doi:10.2514/1.6648.
  • Youn, Byeng D., K. K. Choi, and Liu Du. 2005b. “Adaptive Probability Analysis Using an Enhanced Hybrid Mean Value Method.” Structural and Multidisciplinary Optimization 29 (2): 134–148. doi: 10.1007/s00158-004-0452-6
  • Zhang, Junfu, and Xiaoping Du. 2010. “A Second-Order Reliability Method with First-Order Efficiency.” Journal of Mechanical Design 132 (10): 101006. doi:10.1115/1.4002459.

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