Abstract
A new objective function for reliability based optimization is suggested which combines partial and total structural failure probabilities in terms of costs assessments. The evaluation of these failure probabilities is based on the failure mode approach while each damage state is approximated by a response surface. Each response surface is used to calculate failure probabilities by applying importance sampling technqiues. The optimization is then performed with respect to preliminary design by defining damage as the formation of plastic hinges. The general formulation of the objective function may be easily adapted to more sophisticated damage models.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Schueller, G.I. and Stix, R., A Critical Appraisal of Methods to Determine Failure Probabilities, Structural Safety, July 1987,4(4)
Stix, R. and Schueller, G.I., Problemstellung bei der Berechnung der Versagenswahrscheinlichkeit, Internal Working Report No. 3, Institut für Mechanik, Universität Innsbruck, First Draft 1982, Revised Version 1986.
Dolinski, K.: “First Order Second Moment Approximation in Reliability of Structural Systems: Critical Review and Alternative Approach”, Structural Safety 1(3) (1983) 211–231.
Bourgund U. und Bucher, C.G., Ispud, a Code for Importance Sampling Procedures Using Design Points — A User’s Manual, Report No. 8-86, Institut für Mechanik, Universität Innsbruck, 1986
Moses, F.: “Structural System Reliability and Optimization”, Computers and Structures, Vol. 7, 1977, pp. 283–290.
Kupfer, H., Freudenthal, A.M.: “Structural Optimization and Risk Control”, Proc., Second International Conference on Structural Safety and Reliability, (ICOSSAR 77), Werner Verlag, Düsseldorf, 1977, pp. 627-639.
Freudenthal, A.M.; Schueller, G.I.: “Risikoanalyse von Ingenieurtragwerken”, Report No. 25/26, Konstr. Ingenieurbau Reports, Ruhr Universität Bochum, pp. 7–95, Aug. 1976, Vulkan Verlag, Essen.
Bourgund, U.: “Schädigungsmodelle für Tragwerke unter Seismischer Beanspruchung”, Int. Working Report No. 16, Institut für Mechanik, Universität of Innsbruck, May 1985.
Grimmelt, M.: “Elne Methode zur Berechnung der Zuverlässigkeit von Tragsystemen unter kombinierten Belastungen”, Dissertation, TU-München, 1984.
Grimmelt, M.J.; Schueller, G.I; Murotsu, Y.: “On the Evaluation of Collapse Probabilities”, Proc.: EM-ASCE-Specialty Conference West Lafayette, 1983, pp 203-207.
Schueller, G.I., Bucher, C.G., Bourgund, U., Ouypornprasert, W.: “On Efficient Computational Schemes to Calculate Structural Failure Probabilities”, Proc. US-Australn Joint Seminar on “Application of Stochastic Structural Mechanics”, May 4–5, 1987, Boca Raton, USA, Springer Verlag.
Bucher, C.G., Bourgund, U., Efficient Use of Response Surface Methods, Report 9-87, Institute of Engineering Mechanics, University of Innsbruck, to appear 1987.
Schittkowski, K., Theory, Implementation and Test of a Nonlinear Programming Algorithm, Proc, Euromech-Colloqulum 164 on Optimization Methods in Structural Design, Univ. Siegen, 1982, Bibliographisches Institut, Mannheim, 1983, 122–152.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bourgund, U. (1987). Reliability-Based Optimization of Structural Systems. In: Lin, Y.K., Schuëller, G.I., Spanos, P. (eds) Stochastic Structural Mechanics. Lecture Notes in Engineering, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83254-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-83254-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18463-8
Online ISBN: 978-3-642-83254-3
eBook Packages: Springer Book Archive