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A Stochastic Bias Corrected Response Surface Method and its Application to Reliability-Based Design Optimization

Journal Article
2014-01-0731
ISSN: 1946-3979, e-ISSN: 1946-3987
Published April 01, 2014 by SAE International in United States
A Stochastic Bias Corrected Response Surface Method and its Application to Reliability-Based Design Optimization
Sector:
Citation: Zhan, Z., Fu, Y., and Yang, R., "A Stochastic Bias Corrected Response Surface Method and its Application to Reliability-Based Design Optimization," SAE Int. J. Mater. Manf. 7(2):262-268, 2014, https://doi.org/10.4271/2014-01-0731.
Language: English

References

  1. Oberkampf , W. L. , and Roy C. J. 2010 Verification and Validation in Scientific Computing Cambridge University Press
  2. Ferson , S. , Oberkampf , W. L. , and Ginzburg , L. 2008 Model validation and predictive capability for the thermal challenge problem Computer Methods in Applied Mechanics and Engineering 197 29-32 2408 2430
  3. Oberkampf , W. L. , and Barone , M. F. 2006 Measures of agreement between computation and experiment: Validation metrics Journal of Computational Physics 217 1 5 36
  4. Oberkampf , W. L. , and Trucano , T. G. 2008 Verification and Validation Benchmarks Nuclear engineering and Design 238 3 716 743
  5. Schwer , L. E. 2007 Validation metrics for response histories: perspectives and case studies Engineering with Computers 23 4 295 309
  6. Fu , Y. , Zhan , Z. , and Yang , R. A Study of Model Validation Method for Dynamic Systems SAE Technical Paper 2010-01-0419 2010 10.4271/2010-01-0419
  7. Viana , F. A. C. , Haftka , R. T. , and Steffen , V. , Jr. Multiple Surrogates: How Cross-Validation Errors Can Help Us to Obtain the Best Predictor Structural and Multidisciplinary Optimization 39 4 2009 439 457 10.1007/s00158-008-0338-0
  8. Simpson TW , Peplinski JD , Koch PN , Allen JK 2001 Metamodels for computer-based engineering design: survey and recommendations Eng Comput 17 2 129 150
  9. Wang GG , Shan S 2007 Review of Metamodeling Techniques in Support of Engineering Design Optimization J Mech Design 129 4 370 380
  10. Jin R , Chen W , Simpson TW 2001 Comparative studies of metamodeling techniques under multiple modelling criteria Struct Multidisc Optim 23 1 1 13
  11. Zhang , S. , Zhu , P. , Chen , W. , Arendt , P. Concurrent treatment of parametric uncertainty and metamodeling uncertainty in robust design Structural and multidisciplinary optimization 2012 10.1007/s00158-012-0805-5
  12. Helton , J. C. , Johnson , J. D. , and Oberkampf , W. L. 2004 An Exploration of Alternative Approaches to the Representation of Uncertainty in Model Predictions Reliability Engineering and System Safety 85 1-3 39 71
  13. Arendt , P. D. , Chen , W. , and Apley , D. W. 2011 Improving Identifiability in Model Calibration Using Multiple Responses DETC2011-48623 Washington DC August 28 31 2011
  14. Mahadevan , S. , and Rebba , R. 2005 Validation of reliability computational models using Bayes networks Reliability Engineering and System Safety 87 2 223 232
  15. Rebba , R. , and Mahadevan , S. 2006 Model predictive capability assessment under uncertainty AIAA Journal 44 10 2376 2384
  16. Jiang , X. , and Mahadevan , S. 2007 Bayesian risk-based decision method for model validation under uncertainty Reliability Engineering and System Safety 92 6 707 718
  17. Kim , I. Y. , Kwak , B. M. 2002 Design space optimization using a numerical design continuation method International Journal of Numerical Methods for Engineering 53 1979 2002
  18. Chen , W. , Baghdasaryan , L. , Buranathiti , T. , and Cao , J. Model Validation via Uncertainty Propagation and Data Transformations AIAA Journal 42 7 1406 1415 2004
  19. Li , J. , Mourelatos , Z. , Kokkolaras , M. , Papalambros , P. , and Gorsich . D. Validating designs through sequential simulation-based optimization Proceedings of the ASME International Design Engineering Technical Conference 2010
  20. Kakkolaras , M. , Hulbert , G. , Papalambros , P. , Mourelatos , Z. , Yang , R. J. Brudnak , M. , Gorsich , D. 2011 Towards a Comprehensive Framework for Simulation-based Vehicle Systems Design Validation International Journal of Vehicle Design
  21. Zhan , Z. , Fu , Y. , and Yang , R. On Stochastic Model Interpolation and Extrapolation Methods for Vehicle Design SAE Int. J. Mater. Manf. 6 3 517 531 2013 10.4271/2013-01-1386
  22. Zhan , Z. , Fu , Y. , Yang , R. , Xi , Z. et al. A Bayesian Inference based Model Interpolation and Extrapolation SAE Int. J. Mater. Manf. 5 2 357 364 2012 10.4271/2012-01-0223
  23. Jiang , Z. , Chen , W. , Fu , Y. , and Yang , R. Reliability-Based Design Optimization with Model Bias and Data Uncertainty SAE Int. J. Mater. Manf. 6 3 502 516 2013 10.4271/2013-01-1384
  24. Xi , Z. , Fu , Y. , and Yang , R. An Ensemble Approach for Model Bias Prediction SAE Int. J. Mater. Manf. 6 3 532 539 2013 10.4271/2013-01-1387
  25. National Crash Analysis Center (NCAC) 2011 www.ncac.gwu.edu/archives/model/index.html
  26. Shi , L. , Yang , R. J. , Zhu , P. An Adaptive Response Surface Method for Crashworthiness Optimization Engineering Optimization 2012 10.1080/03052 15X.2012.734815

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