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Efficient Re-Analysis Methodology for Probabilistic Vibration of Large-Scale Structures

Journal Article
2008-01-0216
ISSN: 1946-3979, e-ISSN: 1946-3987
Published April 14, 2008 by SAE International in United States
Efficient Re-Analysis Methodology for Probabilistic Vibration of Large-Scale Structures
Sector:
Citation: Zhang, G., Nikolaidis, E., and Mourelatos, Z., "Efficient Re-Analysis Methodology for Probabilistic Vibration of Large-Scale Structures," SAE Int. J. Mater. Manf. 1(1):36-56, 2009, https://doi.org/10.4271/2008-01-0216.
Language: English

References

  1. Madsen, H. O. Krenk, S. Lind N. C. Methods of Structural Safety Prentice-Hall, Inc. 1986
  2. Melchers, R. E. Structural Reliability Analysis and Prediction John Wiley & Sons 2001
  3. Moses F. “Probabilistic Analysis of Structural Systems” Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications Sundararajan C. Raj Chapman & Hall 166 187 1995
  4. Frangopol, D. M. “Reliability-Based Optimum Structural Design” Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications , Sundararajan C. Raj Chapman & Hall 352 387 1995
  5. Royset, J. O. Der Kiureghian, A. Polak, E. “Reliability-Based Optimal Design of Series Structural Systems,” Journal of Engineering Mechanics 127 6 607 614 2001
  6. Wang, L. Grandhi, R. V. Hopkins, D. A. “Structural Reliability Optimization Using an Efficient Safety Index Calculation Procedure,” International Journal for Numerical Methods in Engineering 38 1721 1738 1995
  7. Ba-abbad, M. A. Kapania, R. K. Nikolaidis, E. “Reliability-based Structural Optimization of an Elastic-plastic Beam,” AIAA Journal 41 8 1573 1582 2003
  8. Ayyub, B. Mccuen, R. “Simulation-Based Reliability Methods” Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications , Sundararajan C. Raj Chapman & Hall 53 69 1995
  9. Olsson A. M. J. Sandberg G. E. Dahlblom, O. “On Latin Hypercube Sampling for Structural Reliability Analysis,” Structural Safety 25 47 68 2003
  10. Fishman, G. S. Monte Carlo: Concepts, Algorithms, and Applications Springer 1996
  11. Moony, C. Z. Monte Carlo Simulation Sage Publications 1997
  12. Haldar, A. Mahadevan, S. “First and Second Order Reliability Methods,” Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications , Sundararajan C. Raj Chapman & Hall 27 52 1995
  13. Nikolaidis, E. Burdisso, R. “Reliability Based Optimization: a Safety Index Approach,” Computers and Structures 28 6 781 788 1988
  14. Der Kiureghian, A. “The Geometry of Random Vibrations and Solutions by FROM and SORM,” Probabilistic Engineering Mechanic 15 81 91 2000
  15. Wu, Y. T. Millwater, H. R. Cruse, T. A. “Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions,” AIAA Journal 28 9 1663 1669 1990
  16. Tandjiria, V. Teh C. I. Low, B. K. “Reliability Analysis of Laterally Loaded Piles Using Response Surface Methods,” Structural Safety 22 335 355 2000
  17. Krishnamurthy, T. Romero, V. J. “Construction of Response Surface with Higher Order Continuity and its Application to Reliability Engineering,” 43 rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Non-Deterministic Approaches Forum April 22-25 2002 Denver, CO.
  18. Gayton, N. Bourinet J. M. Lamaire M. “CQ2RS: A New Statistical Approach to the Response Surface Method for Reliability Analysis,” Structural Safety 25 99 121 2003
  19. Burton S. A. Hajela, P. “Variable Complexity Reliability-Based Optimization with Neural Network Augmentation,” 43 rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Non-Deterministic Approaches Forum April 22-25 2002 Denver, CO
  20. Papadrakakis, M. Lagaros, N. D. “Reliability-Based Structural Optimization Using Neural Networks and Monte-Carlo Simulation,” Computer Methods in Applied Mechanics and Engineering 191 3491 3507 2002
  21. Youn, Byeng D. Choi, K. K. “A New Response Surface Methodology for Reliability-Based Design Optimization (RBDO),” Computers & Structures 82 2 241 256 2004
  22. Chandu S. V. L. Grandhi R. V. “General Purpose Procedure for Reliability Based Structural Optimization Under Parametric Uncertainties” Advances in Engineering Software 23 7 14 1995
  23. Grandhi, R. V. Wang, L. “Reliability-based Structural Optimization Using Improved Two Point Adaptive Nonlinear Approximations,” Finite Elements in Analysis and Design 29 35 48 1998
  24. Qu, X. Haftka, R. T. “A Reliability-based Design Optimization Using Probabilistic Safety Factor,” Collection of Technical Papers-AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA 2003-1657
  25. Abu Kasim, A. M. “Topping, Static Re-analysis: A Review,” ASCE Journal of Structural Engineering 113 1029 1045 1987
  26. Arora, J. S. “Survey of Structural Re-analysis Techniques,” ASCE Journal of Structural Engineering 102 783 802 1976
  27. Barthelemy, J-F.M. Haftka, R. T. “Approximation Concepts for Optimum Structural Design - A Review,” Struct. Optim. 5 129 144 1993
  28. Yasui, Y. “Direct Coupled Load Verification of Modified Structural Component,” AIAA Journal 36 1 94 101 1998
  29. Liu, J. K. “A Universal Matrix Perturbation Technique for Structural Dynamic Modification using Singular Value Decomposition,” Journal of Sound and Vibration 228 2 265 274 1999
  30. Balmes, E. “Optimal Ritz Vectors for Component Mode Synthesis using the Singular Value Decomposition,” AIAA Journal 34 6 1256 1260 1996
  31. Balmes, E. Ravary, F. Langlais, D. “Uncertainty Propagation in Modal Analysis,” Proceedings of IMAC-XXII: A Conference & Exposition on Structural Dynamics Dearborn, MI. January 2004
  32. Zhang, G. Castanier, M. P. Pierre, C. “Integration of Component-Based and Parametric Reduced-Order Modeling Methods for Probabilistic Vibration Analysis and Design,” Proceedings of the Sixth European Conference on Structural Dynamics Paris, France September 2005
  33. Zhang, G. “Component-Based and Parametric Reduced-Order Modeling Methods for Vibration Analysis of Complex Structures,” The University of Michigan Ann Arbor, MI 2005
  34. Kirsch, U. Design-Oriented Analysis of Structures Kluwer Academic Publishers Dordrecht 2002
  35. Kirsch, U. “Design-Oriented Analysis of Structures - A unified Approach,” ASCE Journal of Engineering Mechanics 129 264 272 2003
  36. Kirsch, U. “A Unified Re-analysis Approach for Structural Analysis, Design and Optimization,” Structural and Multidisciplinary Optimization 25 67 85 2003
  37. Chen, S. H. Yang, X. W. “Extended Kirsch Combined Method for Eigenvalue Re-analysis,” AIAA Journal 38 927 930 2000
  38. Kirsch, U. “Approximate Vibration Re-analysis of Structures,” AIAA Journal 41 504 511 2003
  39. Kirsch, U. Bogomolni, M. “Procedures for Approximate Eigenproblem Re-analysis of Structures,” Intern. J. for Num. Meth. Engrg. 60 1969 1986 2004
  40. Kirsch, U. Bogomolni, M. “Error Evaluation in Approximate Re-analysis of Structures,” Structural Optimization 28 77 86 2004
  41. Rong, F. et al. “Structural Modal Re-analysis for Topological Modifications with Extended Kirsch Method,” Comp. Meth. in Appl. Mech. and Engrg. 192 697 707 2003
  42. Chen, S. H. et al. “Comparison of Several Eigenvalue Re-analysis Methods for Modified Structures,” Structural Optimization 20 253 259 2000
  43. Fang, K.-T. Runze, L. Sudjianto, A. Design and Modeling for Computer Experiments Chapman & Hall/CRC, Taylor & Francis Group Boca Raton, FL 2006
  44. Lophaven, S.N. et al. DACE-A MATLAB Kriging Tool Box
  45. Sacks, J. Welch, W. Mitchell, T. J. Wynn, H. P. “Design and Analysis of Computer Experiments,” Statistical Science 4 4 409 435 1989
  46. Ye, K. Q. Li, W. Sudjianto, A. “Algorithmic Construction of Optimal Symmetric Latin Hypercube Designs” Journal of Statistical Planning and Inference 90 145 159 2000

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