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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 55
ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS
Edited by: B.H.V. Topping
Paper XV.2

Non Gaussian Stochastic Sensitivity Analysis Method for the Optimization of Secondary Structure

S. Benfratello*, S. Caddemi* and G. Muscolino+

*Department of Structural Engineering and Geotechnics, University of Palermo, Palermo, Italy
+Department of Constructions and Advanced Technologies, University of Messina, Messina, Italy

Full Bibliographic Reference for this paper
S. Benfratello, S. Caddemi, G. Muscolino, "Non Gaussian Stochastic Sensitivity Analysis Method for the Optimization of Secondary Structure", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 355-362, 1998. doi:10.4203/ccp.55.15.2
Abstract
The derivatives of the response of a structural system with respect to the system parameters are termed sensitivities. They play an important role in assessing the effect of uncertainties in the mathematical model of the system, in predicting changes in the response due to changes in the design parameters.

In this paper a time domain approach for evaluating the sensitivity of the primary response with respect to mass, stiffness and damping of a secondary system for both deterministic and non-Gaussian stochastic input is presented. In particular, the stochastic input has been assumed as a delta-correlated process and, by extensively using the Kronecker algebra, the higher order cumulant sensitivities have been obtained by solving sets of algebraic or differential equations for stationary and non-stationary input, respectively.

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