Dynamic response of micro-periodic composite rods with uncertain parameters under moving random load

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

“…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. Axial vibrations of a finite micro-periodic rod with uncertain parameters under a moving random load are analysed by Mazur-Ś niady et al [48], where the perturbation method is used and the tolerance averaging approach is applied to pass from differential equations with periodic coefficients to differential equations with constant coefficients. Natural frequencies of a bridge beam are modelled by fuzzy numbers, random variables or fuzzy random variables by Gładysz and Ś niady [49].…”

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

“…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 probabilistic characteristics of the response of the structure are sought in the form of the first two probabilistic moments, that is, the expected value and the correlation (covariance) function. The stochastic response of structure with random and uncertain parameters has been considered, among others, in [18][19][20][21][22][23][24][25][26][27]. Fuzzy stochastic finite element method based a spectral approach to analyze complex engineering structures under dynamic excitation has been presented in [28].…”