Influence of the Parameterization in the Interval Solution of Elastic Beams | Zendy

Stefano Gabriele | Zendy; Valerio Varano | Zendy

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Influence of the Parameterization in the Interval Solution of Elastic Beams

Author(s) -

Stefano Gabriele,

Valerio Varano

Publication year - 2014

Publication title -

journal of structures

Language(s) - English

Resource type - Journals

eISSN - 2356-766X

pISSN - 2314-6494

DOI - 10.1155/2014/395213

Subject(s) - interval (graph theory) , intersection (aeronautics) , stiffness , boundary (topology) , bernoulli's principle , beam (structure) , mathematics , euler's formula , boundary value problem , interval arithmetic , set (abstract data type) , mathematical analysis , physics , structural engineering , computer science , engineering , thermodynamics , combinatorics , bounded function , programming language , aerospace engineering

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

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