Abstract
Abstract This work addresses the computation of dynamic responses of stochastic linear systems using polynomial chaos expansion. As is now well known, polynomial chaos does not offer an accurate representation of dynamic response around resonances when the responses are evaluated for several frequency values. A new parametrization of the frequency response function is then proposed: instead of considering the frequency as the main parameter, a “total phase” parameter is defined and used to define the dynamical system to be solved. It is shown via two applications that this approach offers very accurate results when conjugated to polynomial chaos with low degree.
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