Abstract
Structural reliability analysis aims at computing the probability of failure of a structural system with respect to a prescribed failure criterion by accounting the uncertainties arising in the model description (geometry, material properties) or the environment (loading). When the behavior of the system under consideration evolves in time, the reliability problem is referred to as time variant. In general just mentioning a value for the reliability does not give any meaning without specifying the period of time for which it was derived.
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 subscriptionsReferences
Beck AT, Melchers RE (2005) Barrier failure dominance in time variant reliability analysis. Probab Eng Mech 20:79–85
Madsen HO, Tvedt L (1990) Methods for time dependent reliability and sensitivity analysis. J Eng Mech 116(10):2118–2134
Altes J, Rackwitz R, Schulz U (1993) Time variant reliability of mechanical components. In: SMIRT-12, Elsevier Science Publishers, pp. 111–116
Kuschel N, Rackwitz R (2000) Optimal design under time-variant reliability constraints. Struct Saf 22:113–127
Torres MA, Ruiz SE (2007) Structural reliability evaluation considering capacity degradation over time. Eng Struct 29(9):2183–2192
Czarnecki AA, Nowak AS (2008) Time-variant reliability profiles for steel girder bridges. Struct Saf 30(1):49–64
Becker G, Camarinopoulos L, Kabranis D (2002) Dynamic reliability under random shocks. Reliab Eng Syst Saf 77(3):239–251
Streicher H, Rackwitz R (2004) Time-variant reliability-oriented structural optimization and a renewal model for life-cycle costing. Probab Eng Mech 19(1/2):171–183
Kopustinskas V, Augutis J, Rimkeviius S (2005) Dynamic reliability and risk assessment of the accident localization system of the lgnalina NPP RBMK-1500 reactor. Reliab Eng Syst Saf 87(1):77–87
Wen YK, Chen HC (1989) System reliability under time varying loads. J Eng Mech 115(4):808–839
Melchers RE (1992) Load-space formulation for time-dependent structural relia-bility. J Eng Mech 108:853–870
Huang W, Askin RG (2004) A Generalized SSI reliability model considering stochastic loading and strength aging degradation. IEEE Trans Reliab 53(1):77–82
Xie L, Wang Z, Lin W (2008) System fatigue reliability modelling under stochastic cyclic load. Int J Reliab Saf 2(4):357–367
Zheng W, Liyang X (2008) Dynamic reliability model of components under random load. IEEE Trans Reliab 57(3):474–479
Newman JC Jr (1984) A crack-opening stress equation for fatigue crack growth. Int J Fract 24:131–135
Hari Prasad M, Rami Reddy G, Dubey PN, Srividya A, Verma AK (2013) Reliability estimation of structures under stochastic loading-A case study on nuclear piping. Nucl Eng Des 254:185–193
Castillo E (1988) Extreme value theory in engineering. Academic Press, Boston
Galambos J (1978) The asymptotic theory of extreme order statistics. Wiley, New York
Gumbel EJ (1958) Statistics of extremes. Columbia University Press, New York
Melchers RE (1999) Structural reliability analysis and prediction. Wiley, Chichester
Provan JW (1987) Probabilistic fracture mechanics and reliability, 1st edn. Martinus Nijhoff Publishers, The Netherlands
Naess A (2001) Crossing rate statistics of quadratic transformations of gaussian processes. Probab Eng Mech 16:209–217
Naess A, Karlsen HC (2004) Numerical calculation of the level crossing rate of second order stochastic Volterra systems. Probab Eng Mech 19:155–160
Sudret B (2006) Analytical derivation of the outcrossing rate in time variant reliability problems. Struct Infrastruct Eng 1–14
Ditlevsen O (1982) First outcrossing probability bounds. J Eng Mech 110(2):282–292
Rice SO (1944) Mathematical analysis of random noise. Bell Syst Tech J 23:282–332
Ting K (1999) The evaluation of intergranular stress corrosion cracking problems of stainless steel piping in Taiwan BWR-6 nuclear power plant. Nucl Eng Des 191(2):245254
NUREG/CR-5864 (1992) Theoretical and users manual for PC-PRAISE, USNRC
Priya C, Rao KB, Anoop MB et al (2005) Probabilistic failure analysis of austenitic nuclear pipelines against stress corrosion cracking. Proc Inst Mech Eng Part C J Mech Eng Sci 219:607–626
Gopika V, Verma AK, Srividya A (2005) “Risk informed studies on in-service inspection”, PhD Thesis, Indian Institute of Technology, Bombay
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Verma, A.K., Ajit, S., Muruva, H.P. (2015). Time-Variant Reliability Analysis. In: Risk Management of Non-Renewable Energy Systems. Springer Series in Reliability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-16062-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-16062-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16061-0
Online ISBN: 978-3-319-16062-7
eBook Packages: EngineeringEngineering (R0)