Reliability sensitivity estimation of linear systems under stochastic excitation

The objective of this paper is presenting an approach for reliability sensitivity estimation of linear structural systems subject to dynamical excitation characterized as a Gaussian process. The paper represents an extension of some ideas proposed previously in the context of sensitivity analysis. Novel aspects include the use of the Bootstrap method for assessing the error associated with the estimator of the reliability sensitivity and the application of the proposed approach to a more involved structural model.

► Local approximations of performance functions are considered.
► Error in sensitivity assessment is quantified by means of Bootstrap method.
► Only one sensitivity analysis of spectral properties is required.
► Proposed method is applicable in high dimensional reliability problems.