Abstract
The β-unzipping method is a method by which the reliability of structures can be estimated at a number of different levels. The aim has been to develop a method which is at the same time simple to use and reasonably accurate. The method was first suggested by Thoft-Christensen [6.1] and is further developed by Thoft-Christensen & Sorensen [6.2], [6.3]. The β-un-zipping method is quite general in the sense that it can be used for two-dimensional and three-dimensional framed and trussed structures, for structures with ductile or brittle elements and also in relation to a number of different failure mode definitions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Thoft-Christensen, P.: The ß-unzipping method. Institute of Building Technology and Structural Engineering, Aalborg University Centre, Aalborg, Report 8207, 1982 (not published).
Thoft-Christensen, P. & Sorensen, J. D.: Calculation of Failure Probabilities of Ductile Structures by the ß-unzipping Method. Institute of Building Technology and Structural Engineering, Aalborg University Centre, Aalborg, Report 8208, 1982.
Thoft-Christensen, P. & Sorensen, J. D.: Reliability Analysis of Elasto-Plastic Structures. Proc. 11. IFIP Conf. »System Modelling and Optimization», Copenhagen, July 1983. Springer-Verlag, 1984, pp. 556–566.
Rackwitz, R. & Fiessler, B.: An Algorithm for Calculation of Structural Reliability under Combined Loading. Berichte zur Sicherheitstheorie der Bauwerke, Lab. f. Konstr. Ingb., Techn. Univ. München, München, 1977.
Thoft-Christensen, P. & Baker, M. J.: Structural Reliability and Its Applications. Springer-Verlag, Berlin-Heidelberg-New York, 1982.
Grimmelt, M. & Schuëller, G. I.: Benchmark Study on Methods to Determine Collapse Failure Probabilities of Redundant Structures. Structural Safety, Vol. 1, No. 2, Dec. 1982, pp. 93–106.
Ditlevsen, O.: Narrow Reliability Bounds for Structural Systems. Journal of Structural Mechanics, Vol. 7, No. 4, 1979, pp. 453–472.
Kounias, E. G.: Bounds for the Probability of a Union, with Applications. The Annals of Mathematical Statistics, Vol. 39, 1968, pp. 2154–2158.
Dunnett, C. W. L. & Sobel, M.: Approximations to the Probability of Integral and Certain Percentage Points of a Multivariate Analogue of Student’s t-distribution. Biometrika,Vol. 42, pp. 258–260.
Thoft-Christensen, P. & Sorensen, J. D.: Reliability of Structural Systems with Correlated Elements. Applied Mathematical Modelling. Vol. 6, 1982, pp. 171–178.
Gollwitzer, S. & Rackwitz, R.: Equivalent Components in First-Order System Reliability. Reliability Engineering, Vol. 5, 1983, pp. 99–115.
Watwood, V. B.: Mechanism Generation for Limit Analysis of Frames. ASCE, Journal of the Structural Division, Vol. 105, No. ST1, Jan. 1979, pp. 1–15.
Hohenbichler, M.: An Approximation to the Multivariate Normal Distribution Function. Proc. 155th Euromech on Reliability of Structural Eng. Systems, Lyngby, Denmark, June 1982, pp. 79–110.
Murotsu, Y., Okada, H., Niwa, K. & Miwa, S.: Reliability Analysis of Redundant Truss Structures. Reliability, Stress Analysis and Failure Prevention Methods in Mechanical Design (ed. Milestone, M. D.), ASME Publication No. H00165, 1980, pp. 81–93.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Thoft-Christensen, P., Murotsu, Y. (1986). Reliability Analysis of Structural Systems by the β — Unzipping Method. In: Application of Structural Systems Reliability Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82764-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-82764-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82766-2
Online ISBN: 978-3-642-82764-8
eBook Packages: Springer Book Archive