Spectral stochastic analysis of structures with uncertain parameters

Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches

“…Unfortunately, this option is not available in the most widely used commercial FE packages. A spectral stochastic approach for the dynamic analysis in the frequency domain based on perturbation has been proposed recently [22]. The solution is based on the explicit dependence of the impulse response function on the uncertain structural parameters.…”

Fuzzy Stochastic Vibrations of Double-Beam Complex System as Model Sandwich Beam with Uncertain Parameters

“…where = , . By substituting expression (17) into (8) and using orthogonalization method, one obtains the following set of uncoupled ordinary differential equations:…”

“…The load process is fuzzy random both in space and time. The solution of the problem was found thanks to the fuzzy random dynamic influence function [16][17][18]. The aim of the paper is to find the solution for the membership function of the probabilistic characteristics of the response of the structure.…”

The effect of uncertain material properties on free vibrations of thin periodic plates

“…A certain overview of non-probabilistic methods for non-deterministic numerical analysis, and a comparison to the classical probabilistic approaches is presented by Moens and Vandepitte [45]. By Ś niady et al [46] a probabilistic dynamic analysis of a structure with uncertain parameters under stochastic excitations is shown. Statistical dynamic responses of geometrically nonlinear shells with stochastic Young's modulus are considered by Chang et al [47], where the stochastic finite element method with the perturbation technique and the Newton-Raphson iteration procedure are applied.…”