Abstract
In this chapter problems of load modelling for cyclic and variable repeated loading are discussed. Then, the general problem of time-invariant shakedown and limit reliability analysis in the load space is formulated. Also, the time-variant limit reliability analysis approach is shown. For load cases with low variance of maximum values, simplified formulations of the shakedown and limit reliability analysis methods are presented. Advantages of the presented methods are discussed in the conclusions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Augusti, G. and Baratta A. (1972). Limit analysis of structures with stochastic strength variations. J. Struct. Mech. 1: 43–62.
Corotis, R.B. and Nafday, A.M. (1989). Structural systems reliability using linear programming and simulation. Struct. Eng., ASCE 115: 2435–2447.
Dietlevsen, O., Melchers, R.E. and Gluver, H, (1990). General multi-dimensional probability integration by directional simulation. Comp. Struct. 36: 355–368.
Heitzer, M. and Staat M. (1999). Structural reliability analysis of elasto-plastic structures. In: Schueller G.I., Kafka P., eds., Safety and Reliability. A.A. Balkema, 513–518.
König, J.A. (1987). Shakedown of elastic plastic structures. Warsaw-Amsterdam: PWN-Elsevier.
Melchers, R.E. (1990). Radial importance sampling for structural reliability. J. Eng. Mech., ASCE, 116: 189–203.
Melchers, R.E. (1994). Structural system reliability assessment using directional simulation. Struct. Safety 16: 23–39.
Melchers, R.E. (1995). Load space reliability formulation for Poisson pulse processes. J. Eng. Mech. ASCE 121: 779–784.
Siemaszko, A. and Knabel, J. (2000). Reliability-based adaptation analysis. Proc. of 33-rd Solid Mechanics Conference, Zakopane, September 5–9.
Siemaszko, A. and Dolinski, K. (1996) Limit state reliability optimization accounting for geometric effects. Struct. Opt. 11: 80–87.
Wen, Y.K. and Chen, H-C. (1989). System reliability under time varying loads. J.Eng. Mech. 115: 808–823.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Wien
About this chapter
Cite this chapter
Siemaszko, A. (2002). Limit and Shakedown Reliability Analysis. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2558-8_15
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83687-3
Online ISBN: 978-3-7091-2558-8
eBook Packages: Springer Book Archive