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

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.