The effects of Young’s modulus uncertainty on the response of Euler-Bernoulli beams are investigated within a non-probabilistic framework. To this aim, a novel definition of the interval field concept is introduced which allows to account for the dependency between interval values at various locations by means of a deterministic symmetric non-negative function playing the same role of the autocorrelation function in random field theory. Approximate closed-form expressions for the bounds of the interval displacement field of the beam are derived by performing a finite difference discretization of the governing interval ordinary differential equation and applying the so-called improved interval analysis, recently proposed by the authors. The effectiveness of the presented procedure is assessed through numerical results concerning a simply supported beam.
Spatial variability of interval material properties in Euler-Bernoulli beams / Muscolino, G; Sofi, Alba. - (2013), pp. 2939-2946. (Intervento presentato al convegno 11th International Conference on Structural Safety & Reliability tenutosi a New York nel 16-20 Giugno 2013).
Spatial variability of interval material properties in Euler-Bernoulli beams
SOFI, Alba
2013-01-01
Abstract
The effects of Young’s modulus uncertainty on the response of Euler-Bernoulli beams are investigated within a non-probabilistic framework. To this aim, a novel definition of the interval field concept is introduced which allows to account for the dependency between interval values at various locations by means of a deterministic symmetric non-negative function playing the same role of the autocorrelation function in random field theory. Approximate closed-form expressions for the bounds of the interval displacement field of the beam are derived by performing a finite difference discretization of the governing interval ordinary differential equation and applying the so-called improved interval analysis, recently proposed by the authors. The effectiveness of the presented procedure is assessed through numerical results concerning a simply supported beam.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.