The response bounds are quantified considering two different forms of irregularity, randomly inhomogeneous irregularity and randomly homogeneous irregularity.
According to the response bounds, the intervals of expectation and variance of the sound pressure response vector are calculated by the random interval moment method.
A Liapunov-type technique is used to determine the response bounds for lumped vibrational systems with time-dependent parameters described by a set of second order differential equations.
Modal and frequency response bounds are then predicted based on an EV based model considering a small number of samples of simulated uncertain data.
Applying matrix perturbation theory through a first order Taylor series expansion about the mean values of the uncertain parameters' conservative dynamic response bounds are obtained assuming a small degree of parameter uncertainty.
By comparing the results with the reference solution and those by other conventional methods, it is demonstrated that the URP method can provide the most accurate response bounds without hard computational effort.
