Response analysis under stochastic loading in presence of structural uncertainties

The response of a structure with random parameters (e.g. sti!ness, or damping coe$cients) is investigated, when it is subjected to a random load. The structural behaviour can be either linear or non-linear, but the forcing process has been assumed to be second-order Gaussian. A modi"ed series expansion is used to determine response statistics, in the various cases of a Du$ng oscillator with random sti!ness and damping coe$cients being subjected to a deterministic sinusoidal force, a random amplitude sinusoidal force, a Kanai}Taijimi-type earthquake