Journal
COMPUTERS & STRUCTURES
Volume 86, Issue 10, Pages 1093-1101Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2007.05.040
Keywords
reliability of structures; data uncertainty; non-parametric methods; random sets; Tchebycheff's inequality; geotechnical engineering; sensitivity analysis
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Random sets form a well-established, general tool for modelling epistemic uncertainty in engineering. They can be seen as encompassing probability theory, fuzzy sets and interval analysis. Random set models for data uncertainty are typically used to obtain robust upper and lower bounds for the reliability of structures in engineering models. The goal of this paper is to show how random set models can be constructed from measurement data by non-parametric methods using inequalities of Tchebycheff type. Relations with sensitivity analysis will also be high-lighted. We demonstrate the application of the methods in an FE-model for the excavation of a cantilever sheet pile wall. (C) 2007 Elsevier Ltd. All rights reserved.
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