Abstract
This paper deals with the evaluation of the probabilistic response of an n-DOF linear structure excited by a base acceleration non-stationary process. The probabilistic characterisation of the input is provided by the covariance kernel which is approximated by means of a two-dimensional expansion of Hermite polynomials suitably modified. Such an approximation leads to convenient recurrence expressions for the evaluation of output covariances. The suitability of the modified Hermite polynomials in comparison to Chebyshev polynomials for the approximation of the covariance kernel is also highlighted.
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