期刊
PROBABILISTIC ENGINEERING MECHANICS
卷 42, 期 -, 页码 78-86出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.probengmech.2015.09.001
关键词
Uncertain material/geometric properties; Spatial variability; Random field; Interval field; Variability response function; Lower bound and upper bound; Interval rational series expansion
This paper deals with structural response variability under spatially varying uncertainties represented using both probabilistic and non-probabilistic models. Attention is focused on Euler-Bernoulli beams with uncertain flexibility subjected to deterministic static loads. Within the probabilistic framework, the uncertain flexibility is modeled as a random field and the well-established concept of variability response function is adopted to derive spectral- and probability-distribution-free upper bounds on the response variability. Within the non-probabilistic context, the uncertain property is represented resorting to a recently proposed interval field model able to quantify the dependency between adjacent values of an interval uncertainty that cannot differ as much as values that are further apart. For statically determinate beams, the interval displacement field and the associated bounds are evaluated analytically by using a Green's function formulation. Conversely, for statically indeterminate beams, approximate explicit expressions of the bounds of the interval response are derived by applying a finite difference based procedure. Numerical results present consistent comparisons between response variability under random and interval uncertainty for both statically determinate and indeterminate beams. (C) 2015 Elsevier Ltd. All rights reserved.
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