The paper deals with reliability analysis of linear discretized structural systems with interval uncertainties subjected to stationary Gaussian random excitation. Under the assumption of independent up-crossings of a specified threshold, an efficient procedure for the evaluation of the bounds of the interval reliability is presented. The key idea is to derive an approximate explicit expression of the interval reliability function in terms of the interval mean-value and spectral moments of the response. Then, the lower bound and upper bounds of the interval reliability function are derived by properly combining the bounds of the interval mean-value and spectral moments. Such bounds are evaluated in approximate closed-form by applying an approach recently proposed by the authors, based on the joint application of the improved interval analysis via extra unitary interval and a novel series expansion of the inverse of an interval matrix with modifications, called Interval Rational Series Expansion (IRSE).

Interval Uncertain Structural Systems Subjected to Stationary Stochastic Excitations: Reliability Assessment

SOFI, Alba
2015

Abstract

The paper deals with reliability analysis of linear discretized structural systems with interval uncertainties subjected to stationary Gaussian random excitation. Under the assumption of independent up-crossings of a specified threshold, an efficient procedure for the evaluation of the bounds of the interval reliability is presented. The key idea is to derive an approximate explicit expression of the interval reliability function in terms of the interval mean-value and spectral moments of the response. Then, the lower bound and upper bounds of the interval reliability function are derived by properly combining the bounds of the interval mean-value and spectral moments. Such bounds are evaluated in approximate closed-form by applying an approach recently proposed by the authors, based on the joint application of the improved interval analysis via extra unitary interval and a novel series expansion of the inverse of an interval matrix with modifications, called Interval Rational Series Expansion (IRSE).
978-981-09-5347-8
Interval uncertainties, Stochastic excitation, Reliability analysis, Explicit expressions, Interval rational series expansion, Upper bound and lower bound.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/16501
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