Table of Contents
Journal of Structures
Volume 2014, Article ID 395213, 5 pages
Research Article

Influence of the Parameterization in the Interval Solution of Elastic Beams

Modelling and Simulation LAB (Lams), Roma Tre University, Via della Madonna dei Monti 40, 00184 Rome, Italy

Received 29 May 2014; Accepted 15 September 2014; Published 24 September 2014

Academic Editor: Greg Foliente

Copyright © 2014 Stefano Gabriele and Valerio Varano. 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.


We are going to analyze the interval solution of an elastic beam under uncertain boundary conditions. Boundary conditions are defined as rotational springs presenting interval stiffness. Developments occur according to the interval analysis theory, which is affected, at the same time, by the overestimation of interval limits (also known as overbounding, because of the propagation of the uncertainty in the model). We suggest a method which aims to reduce such an overestimation in the uncertain solution. This method consists in a reparameterization of the closed form Euler-Bernoulli solution and set intersection.