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Mathematical Problems in Engineering
Volume 2013, Article ID 426361, 21 pages
Research Article

Structural Reliability Sensitivities under Nonstationary Random Vibrations

1DICATECh—Department of Civil, Environmental, Territory, Building and Chemical Engineering, Technical University of Bari, Via Orabona, 4-70125 Bari, Italy
2DICA—Department of Civil Engineering and Architectural Science, Technical University of Bari, Via Orabona, 10-70125 Bari , Italy

Received 31 July 2012; Revised 13 January 2013; Accepted 27 January 2013

Academic Editor: Erwei Bai

Copyright © 2013 Rita Greco and Francesco Trentadue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Response sensitivity evaluation is an important element in reliability evaluation and design optimization of structural systems. It has been widely studied under static and dynamic forcing conditions with deterministic input data. In this paper, structural response and reliability sensitivities are determined by means of the time domain covariance analysis in both classically and nonclassically damped linear structural systems. A time integration scheme is proposed for covariance sensitivity. A modulated, filtered, white noise input process is adopted to model the stochastic nonstationary loads. The method allows for the evaluation of sensitivity statistics of different quantities of dynamic response with respect to structural parameters. Finally, numerical examples are presented regarding a multistorey shear frame building.