Table of Contents
ISRN Applied Mathematics
Volume 2013, Article ID 340145, 12 pages
Research Article

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

1Wroclaw University of Technology, Institute of Civil Engineering, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
2Wroclaw University of Environmental and Life Science, The Faculty of Environmental Engineering and Geodesy, Plac Grunwaldzki 24, 50-365 Wroclaw, Poland

Received 31 July 2013; Accepted 18 August 2013

Academic Editors: S. He, Y. Wang, and X. Xue

Copyright © 2013 Krystyna Mazur-Śniady et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The dynamic behavior of a double Euler-Bernoulli beam system with uncertain parameters (fuzzy random variables) under a fuzzy stochastic excitation and axial compression is being considered. The beams are identical and parallel, one is above the other, and they are continuously coupled by a linear two-parameter (Pasternak subsoil) elastic element. This double Euler-Bernoulli beam system can be also treated as a theoretical model of a sandwich beam. The load process is fuzzy random both in space and time. The top beam carries a fuzzy stochastic load. The solution of the problem was found thanks to the fuzzy random dynamic influence function. The aim of the paper is to find the solution for the membership function of the probabilistic characteristics of the response of the structure.