536
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Dynamic reliability-based robust design optimization with time-variant probabilistic constraints

, &
Pages 784-809 | Received 23 Nov 2012, Accepted 25 Mar 2013, Published online: 25 Jun 2013

References

  • Andrieu-Renaud, C., B. Sudret, and M. Lemaire. 2004. “The PHI2 Method: A Way to Compute Time-variant Reliability.” Reliability Engineering and System Safety 84 (1): 75–86. doi: 10.1016/j.ress.2003.10.005
  • Breitung, K. 1988. “Asymptotic Crossing Rates for Stationary Gaussian Vector Processes.” Stochastic Processes and their Applications 29 (2): 195–207. doi: 10.1016/0304-4149(88)90037-3
  • Breitung, K. 1994. “Asymptotic Approximations for the Crossing Rates of Poisson Square Waves.” NIST Special Publication SP (866): 75.
  • Chen, W., W. Fu, S. B. Biggers, and R. A. Latour. 2000. “An Affordable Approach for Robust Design of Thick Laminated Composite Structure.” Optimization and Engineering 1 (3): 305–322. doi: 10.1023/A:1010078107194
  • Chen, J. B., and J. Li. 2007. “The Extreme Value Distribution and Dynamic Reliability Analysis of Nonlinear Structures with Uncertain Parameters.” Structural Safety 29 (2): 77–93. doi: 10.1016/j.strusafe.2006.02.002
  • Doltsinis, I., and Z. Kang. 2004. “Robust Design of Structures Using Optimization Methods.” Computer Methods in Applied Mechanics and Engineering 193 (23–26): 2221–2237. doi: 10.1016/j.cma.2003.12.055
  • Haftka, R. T., and L. T. Watson. 1999. “Response Surface Models Combining Linear and Euler Aerodynamics for Supersonic Transport Design.” Journal of Aircraft 36 (1): 75–86. doi: 10.2514/2.2415
  • Hagen, O., and L. Tvedt. 1991. “Vector Process Out-crossing as Parallel System Sensitivity Measure.” Journal of Engineering Mechanics 117 (10): 2201–2220. doi: 10.1061/(ASCE)0733-9399(1991)117:10(2201)
  • Hazelrigg, G. A. 1998. “A Framework for Decision-based Engineering Design.” Journal of Mechanical Design 120 (4): 653–658. doi: 10.1115/1.2829328
  • Jin, R., W. Chen, and A. Sudjianto. 2002. “On Sequential Sampling for Global Meta-modeling in Engineering Design.” Proceedings of DETC, Vol. 2, Montreal, Canada, 539–548.
  • Jones, D. R., M. Schonlau, and W. J. Welch. 1998. “Efficient Global Optimization of Expensive Black-box Functions.” Journal of Global Optimization 13 (4): 455–492. doi: 10.1023/A:1008306431147
  • Keane, A. J., and P. B. Nair. 2005. Computational Approaches for Aerospace Design: The Pursuit of Excellence. Chichester: Wiley.
  • Kuschel, N., and R. Rackwitz. 2000. “Optimal Design Under Time-Variant Reliability Constraints.” Structural Safety 22 (2): 113–127. doi: 10.1016/S0167-4730(99)00043-0
  • Li, J., Chen, J., and W. Fan. 2007. “The Equivalent Extreme-Value Event and Evaluation of the Structural System Reliability.” Structural Safety 29 (2): 112–131. doi: 10.1016/j.strusafe.2006.03.002
  • Li, J., and Z. P. Mourelatos. 2009. “Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm.” Journal of Mechanical Design 131 (7): 071009. doi: 10.1115/1.3149842
  • Lutes, L. D., and S. Sarkani. 2009. “Reliability Analysis of Systems Subject to First-Passage Failure.” NASA Technical Report No. NASA/CR-2009-215782.
  • Madsen, H. O., S. Krenk, and N. C. Lind. 1985. Methods of Structural Safety. Englewood Cliffs, NJ: Prentice-Hall.
  • Madsen, J. I., W. Shyy, and R. T. Haftka. 2000. “Response Surface Techniques for Diffuser Shape Optimization.” AIAA Journal 38 (9): 1512–1518. doi: 10.2514/2.1160
  • Marzat, J., and H. Piet-Lahanier. 2012. “Design of Nonlinear MPC by Kriging-based Optimization.” IFAC Proceedings Volumes (IFAC-ArticlesOnline) 16 (PART 1): 1490–1495.
  • Noh, Y., K. K. Choi, I. Lee, D. Gorsich, and D. Lamb. 2011. “Reliability-Based Design Optimization with Confidence Level for Non-Gaussian Distributions Using Bootstrap Method.” Journal of Mechanical Design 133 (9): 091001. doi: 10.1115/1.4004545
  • Paciorek, C. J. 2003. “Nonstationary Gaussian Processes for Regression and Spatial Modelling.” PhD diss., Carnegie Mellon University, Pittsburgh, PA, USA.
  • Qin, S., and W. Cui. 2003. “Effect of Corrosion Models on the Time-dependent Reliability of Steel Plated Elements.” Marine Structures 16 (1): 15–34. doi: 10.1016/S0951-8339(02)00028-X
  • Rackwitz, R. 1998. “Computational Techniques in Stationary and Non-stationary Load Combination—A Review and Some Extensions.” Journal of Structural Engineering 25 (1): 1–20.
  • Rahman, S., and H. Xu. 2004. “A Univariate Dimension-Reduction Method for Multi-dimensional Integration in Stochastic Mechanics.” Probabilistic Engineering Mechanics 19 (4): 393–408. doi: 10.1016/j.probengmech.2004.04.003
  • Sacks, J., W. J. Welch, T. J. Mitchell, and H. P. Wynn. 1989. Design and Analysis of Computer Experiments. Statistical Science, 4 (4): 409–423.
  • Schonlau, M. 1997. “Computer Experiments and Global Optimization.” PhD Thesis, University of Waterloo, Waterloo, Ontario, Canada.
  • Schrupp, K., and R. Rackwitz. 1988. “Outcrossing Rates of Marked Poisson Cluster Processes in Structural Reliability.” Applied Mathematical Modeling 12 (5): 482–490. doi: 10.1016/0307-904X(88)90085-6
  • Simpson, T. W., T. M. Mauery, J. J. Korte, and F. Mistree. 1998. “Comparison of Response Surface and Kriging Models for Multidisciplinary Design Optimization.” AIAA article 98: 4758(7).
  • Singh, A., Z. P. Mourelatos, and J. Li. 2010. “Design for Lifecycle Cost Using Time-Dependent Reliability.” Journal of Mechanical Design 132 (9): 091008. doi: 10.1115/1.4002200
  • Son, Y. K., and G. J. Savage. 2007. “Set Theoretic Formulation of Performance Reliability of Multiple Response Time-Variant Systems Due to Degradations in System Components.” Quality and Reliability Engineering International 23 (2): 171–188. doi: 10.1002/qre.783
  • Stuckman, B. E. 1988. “A Global Search Method for Optimizing Nonlinear Systems.” IEEE Transactions on Systems, Man, and Cybernetics 18 (6): 965–977. doi: 10.1109/21.23094
  • Sudret, B. 2008. “Analytical Derivation of the Outcrossing Rate in Time-Variant Reliability Problems.” Structure and Infrastructure Engineering 4 (5): 353–362. doi: 10.1080/15732470701270058
  • Tang, Y., J. Chen, and J. Wei. 2012. “A Sequential Algorithm for Reliability-Based Robust Design Optimization Under Epistemic Uncertainty.” Journal of Mechanical Design 134 (1): 014502. doi: 10.1115/1.4005442
  • Wang, P., C. Hu, and B. D. Youn. 2011. “A Generalized Complementary Intersection Method for System Reliability Analysis and Design.” Journal of Mechanical Design 133 (7): 071003. doi: 10.1115/1.4004198
  • Wang, L., and S. Kodiyalam. 2002. “An Efficient Method for Probabilistic and Robust Design with Non-normal Distributions.” Article presented at the 43rd AIAA SDM Conference, Denver, Colorado, April.
  • Welch, W. J., R. J. Buck, J. Sacks, H. P. Wynn, T. J. Mitchell, and M. D. Morris. 1992. “Screening, Predicting, and Computer Experiments.” Technometrics 34 (1): 15–25. doi: 10.2307/1269548
  • Xu, H., and S. Rahman. 2004. “A Generalized Dimension-Reduction Method for Multidimensional Integration in Stochastic Mechanics.” International Journal for Numerical Methods in Engineering 61 (12): 1992–2019. doi: 10.1002/nme.1135
  • Xu, H., and S. Rahman. 2005. “Decomposition Methods for Structural Reliability Analysis.” Probabilistic Engineering Mechanics 20 (3): 239–250. doi: 10.1016/j.probengmech.2005.05.005
  • Yadav, O. P., Bhamare, S. S., and Rathore, A. 2010. “Reliability-Based Robust Design Optimization: A Multi-objective Framework Using Hybrid Quality Loss Function.” Quality and Reliability Engineering International 26 (1): 27–41. doi: 10.1002/qre.1027
  • Youn, B., K. K. Choi, and L. Du. 2005. “Enriched Performance Measure Approach for Reliability-Based Design Optimization.” AIAA Journal 43 (4): 874–884. doi: 10.2514/1.6648
  • Youn, B. D., K. K. Choi, and K. Yi. 2005. “Performance Moment Integration (PMI) Method for Quality Assessment in Reliability-Based Robust Design Optimization.” Mechanics Based Design of Structures and Machines 33 (2): 185–213. doi: 10.1081/SME-200067066
  • Youn, B., and P. Wang. 2009. “Complementary Interaction Method (CIM) for System Reliability Assessment.” Journal of Mechanical Design 131 (4): 041004. doi: 10.1115/1.3086794
  • Youn, B. D., and Z. Xi. 2009. “Reliability-Based Robust Design Optimization Using the Eigenvector Dimension Reduction (EDR) Method.” Structural and Multidisciplinary Optimization 37 (5): 475–492. doi: 10.1007/s00158-008-0239-2
  • Youn, B. D., Z. Xi, and P. Wang. 2008. “Eigenvector Dimension Reduction (EDR) Method for Sensitivity-Free Probability Analysis.” Structural and Multidisciplinary Optimization 37 (1): 13–28. doi: 10.1007/s00158-007-0210-7
  • Zhang, J., and X. Du. 2011. “Time-Dependent Reliability Analysis for Function Generator Mechanisms.” Journal of Mechanical Design 133 (3): 031005. doi: 10.1115/1.4003539

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.