Skip to main content
SpringerLink
Log in

Time Variant Reliability Analysis Utilizing Response Surface Approach

  • Conference paper
Reliability and Optimization of Structural Systems ’88

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 48))

Abstract

A new concept to determine response functions is introduced into time variant systems reliability analyses. The class of response functions considered consists of second order polynomials. The coefficients for these polynomials are determined from combinations of the basic variables close to the limit state surface. The method is shown to give highly accurate results while reducing computational efforts considerably in comparison to full analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bourgund, U. and Bucher, C.G.: “Importance Sampling Procedure Using Design Points - ISPUD - A User’s Manual”, Rep. 8–86, Inst. Eng. Mech, University of Innbruck, Austria, Nov. 1986.

    Google Scholar 

  2. Bucher, C.G.: “Adaptive Sampling: An Iterative Fast Monte-Carlo Procedure”, Structural Safety, Vol. 5, No.2, June, 1988, pp. 119–126.

    Google Scholar 

  3. Bucher, C.G. and Bourgund, U.: “Efficient Use of Response Surface Methods”, Rep. 9–87, List. Eng. Mech., University of Innsbruck, Austria, 1987.

    Google Scholar 

  4. Chen, Y.M., Schuëller, G. I. and Bourgund, U.: “Reliability of Large Structural Systems under Time Variant Loads”, ASCE EMD/GTD/STD Joint Specialty Conference on Probabilistic Methods, Virginia, May 25–27, 1988, pp. 420–423.

    Google Scholar 

  5. Chen, Y.M., Schuëller, G. I. and Bourgund, U.: “Reliability of Large Structural Systems under Time Variant Loads”, Submitted for publication, 1988.

    Google Scholar 

  6. Gerstle, K.H.: “Basic Structural Design”, McGraw-Hill, New York, 1967, pp. 305–308.

    Google Scholar 

  7. Grimmelt, M., Schuëller, G.I., Murotsu, Y.: “On the Evaluation of Collapse Probabilities”, Proc., 4th ASCE Spec. Conf. on Rec. Adv. in Eng. Mech., W.Lafayette, Vol. II, May, 1983, pp.859862.

    Google Scholar 

  8. Murotsu, Y.: “Reliability Assessment of Redundant Structures”, Proc. ICOSSAR“ 81, Eds. T. Moan, M. Shinozuka, Elsevier, 1981

    Google Scholar 

  9. Murotsu, Y., Okada, H., Taguchi, K., Grimmelt, M., and Yonezawa, M.: “Automatic Generation of Stochastically Dominant Failure Modes of Frame Structures”, Structural Safety, 2, 1984, pp. 1725.

    Article  Google Scholar 

  10. Ouypomprasert, W. and Bucher, C.G.: “An Efficient Scheme to Determine Response Functions For Reliability Analyses”, Int. Working Report No. 30, Inst. Eng. Mech., University of Innsbruck, Austria, Sept. 1988.

    Google Scholar 

  11. Pearce, H.T., Wen, Y.K.: “On Linearization Points for Nonlinear Combination of Stochastic Load Processes”, Structural Safety, 2, 1985, 169–176.

    Article  Google Scholar 

  12. Schuëller, G. I.; Bucher, C. G.; Bourgund, U.; Ouypomprasert, W.: “On Efficient Computational Schemes to Calculate Structural Failure Probabilities”, in Lecture Notes in Eng., Vol. 31, Stochastic Structural Mechanics, Eds. Y.K.Lin, G.I.Schuëller, Springer-Verlag, Berlin, New York, 1987, pp. 388–408.

    Google Scholar 

  13. Schwarz, R.F. and Schuëller, G.I.: “Reliability of Structures Under Combined Loading”, Proc. ASCE Specialty Conf. on Prob. Mechanics and Struct. Rel., Tucson, AZ, Jan., 1979, pp. 112–120.

    Google Scholar 

  14. Shinozuka, M.: “Stochastic Characterization of Loads and Load Combinations”, Proc. ICOSSAR“ 81, Eds. T. Moan, M. Shinozuka, Elsevier, 1981, pp. 57–75

    Google Scholar 

  15. Shiraki, W. and Takaoka, N.: “Reliability Analysis of Compression Members with Rectangular Cross-Section”, Procedings of the 27th Japan National Congress for Applied Mechanics, 1977, pp. 249–258.

    Google Scholar 

  16. Veneziano, M., Grigoriu, M. and Cornell, C.A.: “Vector-Process Models for System Reliability”, J. of Eng. Mech. Div., ASCE, Vol. 103, No. EM3, June, 1977, pp. 441–460.

    Google Scholar 

  17. Wen, Y.K.: “Statistical Combination of Extreme Loads”, J. of Str. Div., ASCE, Vol. 103, No. STS, May, 1977, pp. 1079–1093.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Engineering Mechanics, University of Innsbruck, Austria

    C. G. Bucher, Y. M. Chen & G. I. Schuëller

Authors
  1. C. G. Bucher
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. M. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. I. Schuëller
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Building Technology and Structural Engineering, The University of Aalborg, Sohngaardsholmsvej 57, DK-9000, Aalborg, Denmark

    P. Thoft-Christensen

Rights and permissions

Reprints and permissions

Copyright information

© 1989 International Federation for Information Processing, Geneva, Switzerland

About this paper

Cite this paper

Bucher, C.G., Chen, Y.M., Schuëller, G.I. (1989). Time Variant Reliability Analysis Utilizing Response Surface Approach. In: Thoft-Christensen, P. (eds) Reliability and Optimization of Structural Systems ’88. Lecture Notes in Engineering, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83828-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83828-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51283-7

  • Online ISBN: 978-3-642-83828-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation