Acta Mechanica Slovaca 2010, 14(4):92-101 | DOI: 10.2478/v10147-011-0039-3

Some Aspects of Probability and Possibility Theories for Numerical Analysis of Uncertain Mechanical Systems

Milan Sága, Vladimír Dekýš, Milan Vaško
University of Žilina in Žilina

Our paper presents chosen traditional (based on probability theory) and non-traditional (based on possibility theory) computational tools for analysis of the material, geometric or loading uncertainties in mechanical structures. Uncertainties are introduced as bounded possible values - intervals or as fuzzy sets, assuming possibility theory and as random parameters in the case of the probability theory. The main goal is to propose numerical algorithms for interval modal and spectral FE computations suggested by authors and their additional implementation into fuzzy analysis and Monte Carlo method.

Keywords: Uncertain Parameter, Optimization, Interval Number, Interval Arithmetic, Fuzzy Set, Random Variable, INTLAB, Monte Carlo Method

Published: October 31, 2010  Show citation

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Sága, M., Dekýš, V., & Vaško, M. (2010). Some Aspects of Probability and Possibility Theories for Numerical Analysis of Uncertain Mechanical Systems. Acta Mechanica Slovaca, 14(4), 92-101. doi: 10.2478/v10147-011-0039-3
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