Skip to main content

Reliability Assessment for Non-Linear Random Frames

  • Conference paper
Probabilistic Methods in the Mechanics of Solids and Structures

Summary

The problem of assessing the reliability of frames with random properties, characterized by non-linear mechanic behaviour and subjected to stochastic dynamic excitations is analysed. Different approaches to the problem were considered in past research: simulation procedures, response surface methods, equivaient linearization techniques.

The operative aspects associated with the adoption of a suitable equivalent linearization approach are discussed here in detail. The degree of difficulty of the corresponding calculations and the accuracy of the results are compared with the computational effort and the level of approximation of simulation procedures and response surface methods. A numerical example is sketched.

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

Access this chapter

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.

Similar content being viewed by others

References

  1. Casciati F.; Faravelli L.; Veneziano D.: The Seismic Fragi lity of R.C. Frames, Proc. 7th ECEE,Athens, 1982, 4, 143–151

    Google Scholar 

  2. Casciati F.; Faravelli L.: Seismic Risk for Structure Frames, Proc. 7th Symp. on Earth. Eng.,Roorkee, 1982, 1, 197–201

    Google Scholar 

  3. Casciati F.; Faravelli L.: A Simplified Reliability Approach in Stochastic Non-linear Dynamics, Proc. of IUTAM Symp. on Random Vibration and Reliability,Frankfurt/Oder, 1982, 33–43

    Google Scholar 

  4. Casciati F.; Faravelli L.: Progressive Failure for Seismic Reliability Analysis, Engineering Structures, 6, 1984, 97–103

    Article  Google Scholar 

  5. Veneziano D.; Casciati F.; Faravelli L.: Method of Seismic Fragility for Complicated Systems,Proc. of 2nd CSNI Spec. Meeting on Prob. Methods in Seismic Risk Asses.,Livermore,1983

    Google Scholar 

  6. Casciati F.: Some Thoughts on Stochastic Methods in Structural Mechanics, in Stoch. Methods in Struct. Mech., F. Casciati and L. Faravelli (eds.), 1984, 3–8

    Google Scholar 

  7. Casciati F.; Faravelli L.: Plastic Zone Spread and Seismic Reliability Analysis,Proc. 8th WCEE, San Francisco, 1984

    Google Scholar 

  8. Spanos P.D.: Stochastic Linearization in Structural Dynamics, Applied Mech. Reviews, 34, n. 1, 1981, 1–8

    MathSciNet  Google Scholar 

  9. Wen Y.K.: Equivalent Linearization for Hysteretic Systems under Random Excitation, Trans. ASME, 47, 1980, 150–154

    Article  MATH  Google Scholar 

  10. Casciati F.; Faravelli L.: Equivalent Linearization Technique and Seismic Reliability of Random Systems, Proc. of ASCE Spec. Conf. on Prob. Mech. & Struct. Rel., Berkeley, 1984, 143–146

    Google Scholar 

  11. Baber T.T.; Wen Y.K.,Civil Eng. Studies,n,471,Un. Illinois,1980

    Google Scholar 

  12. Baber T.T.; Wen Y.K.,Earth. Eng. & Struc. Dyn., 10, 1982, 403–416

    Article  Google Scholar 

  13. Sues R.H.; Wen Y.K.; Ang A.H-S.,Civil Eng. St.,n.506,Un.I11.,1983

    Google Scholar 

  14. Pires J.; Wen Y.K.;Ang A.H-S.,Civil. Eng. St.,n.504,Un.I1L,1983

    Google Scholar 

  15. Baber T.T.: Non-zero Mean Random Vibration of Hysteretic Systems Report UVA/526378/CE84/103,Univ. of Virginia,Charlottesville,198:

    Google Scholar 

  16. Veneziano D.: Probabilistic Seismic Resistance of R.C. Frames, ICOSSAR,Trondheim, 1981, 241–258

    Google Scholar 

  17. Kanaan A.E; Powell G.M.: General Purpose Computer Program for of Inel. Plane Structures,EERC, Un.Calif.,Berk.,1973

    Google Scholar 

  18. Bartels R.H.;Stewart G.W.,Comm. ACM, 15,n. 9, 1972, 820–826

    Article  Google Scholar 

  19. Yang J.N.; Liu S.C.:Distribution of Maximum and Statistical Response Spectra, J. En. Mech.,ASCE, 107, 1981, 1089–1102

    Google Scholar 

  20. Davenport A. G., Proc. Inst. of Civil Engineers, London, 28, 1964

    Google Scholar 

  21. Der Kiureghian A.: Structural Response to Stationary Excitation, J. En. Mech.,ASCE, 106, 1980, 1195–1213

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag, Berlin, Heidelberg

About this paper

Cite this paper

Casciati, F., Faravelli, L. (1985). Reliability Assessment for Non-Linear Random Frames. In: Eggwertz, S., Lind, N.C. (eds) Probabilistic Methods in the Mechanics of Solids and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82419-7_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82419-7_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82421-0

  • Online ISBN: 978-3-642-82419-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics