Benchmark study on reliability estimation in higher dimensions of structural systems – An overview
Tài liệu tham khảo
Au, 2001, Estimation of small failure probabilities in high dimensions by subset simulation, Probab Eng Mech, 16, 263, 10.1016/S0266-8920(01)00019-4
Au, 2001, First excursion probabilities for linear systems by very efficient importance sampling, Probab Eng Mech, 16, 193, 10.1016/S0266-8920(01)00002-9
Au, 2007, Application of subset simulation methods to reliability benchmark problems, Struct Saf, 29, 183, 10.1016/j.strusafe.2006.07.008
Ching, 2005, Reliability estimation for dynamical systems subjected to stochastic excitation using subset simulation with splitting, Comput Meth Appl Mech Eng, 12, 1557, 10.1016/j.cma.2004.05.028
Ching, 2005, Hybrid subset simulation method for reliability estimation of dynamical systems subjected to stochastic excitation, Probab Eng Mech, 20, 199, 10.1016/j.probengmech.2004.09.001
Ghanem, 2007, Efficient solution of stochastic systems: Application to the embankment dam problem, Struct Saf, 29, 238, 10.1016/j.strusafe.2006.07.015
Jensen, 2007, Reliability analysis of linear dynamical systems using approximate representations of performance functions, Struct Saf, 29, 222, 10.1016/j.strusafe.2006.07.004
Katafygiotis, 2007, Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study, Struct Saf, 29, 194, 10.1016/j.strusafe.2006.07.003
Katafygiotis, 2006, Spherical subset simulation (S3) for solving nonlinear dynamical reliability problems, Int J Reliab Safety
Katafygiotis LS, Moan T, Cheung SH. Auxiliary domain method for solving multi-objective dynamic reliability problems for nonlinear structures. J Struct Eng Eng Mech [in press].
Koutsourelakis, 2004, Reliability of structures in high dimensions, part I: algorithms and applications, Probab Eng Mech, 19, 409, 10.1016/j.probengmech.2004.05.001
Pradlwarter HJ, Schuëller GI, Koutsourelakis PS, Charmpis DC. Application of line sampling and subset simulation using importance sampling. Struct Saf [in press].
Schuëller, 2005, Application of line sampling simulation method to reliability benchmark problems
Schuëller, 2004, A critical appraisal of reliability estimation procedures for high dimensions, Probab Eng Mech, 19, 463, 10.1016/j.probengmech.2004.05.004
Schuëller GI, Pradlwarter HJ, Koutsourelakis PS. Benchmark study on reliability estimation in higher dimensions of structural systems. Institute of Engineering Mechanics, Leopold-Franzens University, Innsbruck, Austria; 2004. Available from: http://www.uibk.ac.at/mechanik/Publications/benchmark.html.
Schuëller, 1998, Benchmark-study on non-linear stochastic structural dynamics, 355