|
S. Au and J. L. Beck, "A New Adaptive Importance Sampling Scheme for Reliability Calculations," Structural Safety, vol. 21, no. 2, pp. 135-158, 1999
|
|
S. Au and J. L. Beck, "Important Sampling in High Dimensions," Structural Safety, vol. 25, no. 2, pp. 139-163, 2013
|
|
T. W. Benanzer, R. V. Grandhi and W. P. Krol, "Reliability-Based Optimization of Design Variance to Identify Critical Tolerances," Advances in Engineering Software, vol. 40, no. 4, pp. 305-311, 2009
|
|
X. Chen, T. K. Hasselman and D. J. Neill, "Reliability Based Structural Design Optimization for Practical Applications," in AIAA structures, structural dynamics, and materials conference, pp. 2724-2732, Kissimmee, Florida, USA, 1997
|
|
C. K. Choi and H. H. Yoo, "Uncertainty Analysis of Nonlinear Systems Employing the First-Order Reliability Method, " Journal of mechanical science and technology, vol. 26, no. 1, pp. 39-44, 2012
|
|
X. P. Du and W. Chen, "Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design," Journal of Mechanical Design, vol. 126, no. 2, pp. 225-233, 2004
|
|
F. Grooteman, "Adaptive Radial-Based Importance Sampling Method for Structural Reliability," Structural Safety, vol. 30, no. 6, pp. 533-542, 2008
|
|
A. Harbitz, "An Efficient Sampling Method for Probability of Failure Calculation," Structural Safety, vol. 3, no. 2, pp. 109-115, 1986
|
|
A. M. Hasofer and N. C. Lind, "Exact and Invariant Second-Moment Code Format", Journal of the Engineering Mechanics Division", vol. 100, no. 1, pp. 111-121, 1974
|
|
M. Hohenbichler and R. Rackwitz, "Improvement of Second-Order Reliability Estimates by Importance Sampling," Journal of Engineering Mechanics, vol. 114, no. 12, pp. 2195-2199, 1988
|
|
C. Hu and B. D. Youn, "An Asymmetric Dimension-Adaptive Tensor-Product Method for Reliability Analysis," Structural Safety, vol. 33, no. 3, pp. 218-231, 2011
|
|
H. Z. Huang, X. Zhang, Y. Liu, D. B. Meng and Z. Wang, "Enhanced Sequential Optimization and Reliability Assessment for Reliability-Based Design Optimization," Journal of Mechanical Science and Technology, vol. 26, no. 7, pp. 2039-2043, 2012
|
|
H. Z. Huang, X. Zhang, D. B. Meng, Z. Wang and Y. Liu, "An Efficient Approach to Reliability-Based Design Optimization Within the Enhanced Sequential Optimization and Reliability Assessment Framework," Journal of Mechanical Science and Technology, vol. 27, no. 6, pp. 1781-1789, 2013
|
|
I. Lee, K. K. Choi and D. Gorsich, "Equivalent Standard Deviation to Convert High-Reliability Model to Low-Reliability Model for Efficiency of Sampling-Based RBDO," in ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. 1127-1138, Washington, DC, USA, 2011
|
|
J. O. Lee, Y. S. Yang and W. S. Ruy, "A Comparative Study on Reliability-Index and Target-Performance-Based Probabilistic Structural Design Optimization," Computers & Structures, vol. 80, no. 3, pp. 257-269, 2002
|
|
F. Li, T. Wu, A. Badiru, M. Q. Hu and S. Soni, "A Single-Loop Deterministic Method for Reliability-Based Design Optimization," Engineering Optimization, vol. 45, no. 4, pp. 435-458, 2013
|
|
F. Li, T. Wu, M. Q. Hu and J. Dong, "An Accurate Penalty-Based Approach for Reliability-Based Design Optimization," Research in Engineering Design, vol. 21, no. 2, pp. 87-98, 2010
|
|
X. K. Li, H. B. Qiu, Z. Z. Chen, L. Gao and X. Y. Shao, "A Local Sampling Method with Variable Radius for RBDO Using Kriging," Engineering Computations, vol. 32, no. 7, pp. 1908-1933, 2015
|
|
P. L. Liu and A. Der Kiureghian, "Multivariate Distribution Models with Prescribed Marginals and Covariances," Probabilistic Engineering Mechanics, vol. 1, no. 2, pp. 105-112, 1986
|
|
M. Rosenblatt, "Remarks on A Multivariate Transformation," The annals of mathematical statistics, vol. 23, pp. 470-472, 1952
|
|
S. Santos, L. Matioli and A. Beck, "New Optimization Algorithms for Structural Reliability Analysis," Computer Modeling in Engineering & Sciences, vol. 83, no. 1, pp. 23-55, 2012
|
|
S. Shan and G. G. Wang, "Reliable Design Space and Complete Single-Loop Reliability-Based Design Optimization," Reliability Engineering & System Safety, vol. 93, no. 8, pp. 1218-1230, 2008
|
|
S. Song, Z. Lu and H. Qiao, "Subset Simulation for Structural Reliability Sensitivity Analysis," Reliability Engineering & System Safety, vol. 94, no. 2, pp. 658-665, 2009
|
|
N. Str?mberg and M. Tapankov, "Reliability Based Shape Optimization of A Knuckle Component by Using Sequential Linear Programming," http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-16699, 2011
|
|
G. Y. Sun, G. Y. Li, M. Stone and Q. Li, "A Two-Stage Multi-Fidelity Optimization Procedure for Honeycomb-Type Cellular Materials," Computational Materials Science, vol. 49, no. 3, pp. 500-511, 2010
|
|
H. Wang, Z. Gong, H. Z. Huang, X. Zhang and Z. Lv, "System Reliability Based Design Optimization with Monte Carlo Simulation," in International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering IEEE, pp. 1143-1147, Chengdu, Sichuan, China, 2012
|
|
M. Xiao, L. Gao, X. Y. Shao, H. B. Qiu and P. Jiang, "A Generalised Collaborative Optimisation Method and Its Combination With Kriging Metamodels for Engineering Design," Journal of Engineering Design, vol. 23, no. 5, pp. 379-399, 2012
|
|
N. C. Xiao, H. Z. Huang, Z. L. Wang, Y. Pang and L. P. He, "Reliability Sensitivity Analysis for Structural Systems in Interval Probability Form," Structural and Multidisciplinary Optimization, vol. 44, no. 5, pp. 691-705, 2011
|
|
P. Yi, G. D. Cheng and L. Jiang, "A Sequential Approximate Programming Strategy for Performance-Measure-Based Probabilistic Structural Design Optimization," Structural Safety, vol. 30, no. 2, pp. 91-109, 2008
|
|
B. D. Youn, K. K. Choi and L. Du, "Enriched Performance Measure Approach for Reliability-Based Design Optimization," AIAA Journal, vol. 43, no. 4, pp. 874-884, 2005
|
|
B. D. Youn, K. K. Choi and Y. H. Park, "Hybrid Analysis Method for Reliability-Based Design Optimization," Journal of Mechanical Design, vol. 125, no. 2, pp. 221-232, 2003
|
|
T. Zou and S. Mahadevan, "A Direct Decoupling Approach for Efficient Reliability-Based Design Optimization," Structural and Multidisciplinary Optimization, vol. 31, no. 3, pp. 190-200, 2006
|