The aim of the present paper is to determine the region of the probabilistic characteristics of the stationary stochastic response(mean-value vector, power spectral density function and covariance matrix) of truss structures with uncertain-but- bounded parameters under stationary multi-correlated Gaussian random excitation via interval analysis. The main steps of the proposed procedure are: i)to express the stiffness, damping and mass matrices of the structural system as linear functions of the uncertain-but-bounded parameters; ii) to split the probabilistic characteristics of the nodal interval stationary stochastic response, evaluated in the frequency domain, as sum of the midpoint and deviation values; iii) to evaluate in explicit approximate form the parametric interval frequency response function matrix. The effectiveness of the presented procedure is demonstrated by analyzing a truss structure with uncertain- but-bounded axial stiffness and lumped masses subjected to stationary multi-corre- lated Gaussian wind excitations.

Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters

SOFI, Alba
2013

Abstract

The aim of the present paper is to determine the region of the probabilistic characteristics of the stationary stochastic response(mean-value vector, power spectral density function and covariance matrix) of truss structures with uncertain-but- bounded parameters under stationary multi-correlated Gaussian random excitation via interval analysis. The main steps of the proposed procedure are: i)to express the stiffness, damping and mass matrices of the structural system as linear functions of the uncertain-but-bounded parameters; ii) to split the probabilistic characteristics of the nodal interval stationary stochastic response, evaluated in the frequency domain, as sum of the midpoint and deviation values; iii) to evaluate in explicit approximate form the parametric interval frequency response function matrix. The effectiveness of the presented procedure is demonstrated by analyzing a truss structure with uncertain- but-bounded axial stiffness and lumped masses subjected to stationary multi-corre- lated Gaussian wind excitations.
Uncertain-but-bounded parameters, complex interval analysis, stationary Gaussian random excitation, frequency domain approach, Sherman-Morrison-Woodbury formula.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/1897
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