Abstract
This paper aims at estimating the maximum dynamic response of the structure with time-invariant random natural circular frequency and damping factor subjected to random excitations. In the stochastic response analyses, the λ-PDF probability density function and the Gegengauer polynominal approximation is used to deal with the bounded parameter uncertainties. In order to estimate maximum responses, the 4th moment and the beta distribution model are used. Two types of probability density function for parameter uncertainties are studied, and evaluation method of high-order moment is introduced in each case. A series of numerical analyses show that the proposed method estimates the maximum response quite accurately. The method is applied to calculating response spectra considering parameter uncertainties to investigate the required accuracy of the damping factor in the seismic design.
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