Abstract
The paper presents chosen traditional (based on probability theory) and non-traditional (based on possibility theory) computational tools for analysis of the uncertainties (geometric, material or loading uncertainties) in mechanical structures. Uncertainties are introduced as intervals or fuzzy numbers (bounded possible values), assuming possibility theory and as random parameters in the case of the probability theory. The objective is to propose numerical algorithms for interval modal and spectral FE computations suggested by authors and their additional implementation into interval and fuzzy analysis and Monte Carlo method.
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References
Zadeh, L. A.: Fuzzy Sets and Their Applications to Pattern Classification and Cluster analysis. Classification and clustering. Academic, New York, (1977).
Moore, R. E.: Interval Analysis. Prentice Hall, Englewood Cliffs, New Jersey (1966).
Vaško, M., Sága, M.: Solution of mechanical systems with uncertainty parameters using IFEA, communications. ISSN 1335–4205, vol. 11, no. 2, pp. 19–27 (2009).
Kopas, P., Melicher, R., Handrik, M.: FE analysis of thermo-plastic material model using for bearing steels. Applied Mechanics 2008, Wisła, Poland, ISBN 978-83-60102-49-7, pp. 37–38 (2008).
Vaško, A.: Image analysis in materials engineering. In: Konferencje, ISSN 1234-9895, no. 61, pp. 667-670 (2007).
Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University (1990).
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© 2012 Springer Science+Business Media Dordrecht
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Vaško, M., Sága, M., Dekýš, V. (2012). Contribution to Numerical Analysis of Uncertain Mechanical Systems Using Probability and Possibility Theory. In: Beran, J., Bílek, M., Hejnova, M., Zabka, P. (eds) Advances in Mechanisms Design. Mechanisms and Machine Science, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5125-5_35
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DOI: https://doi.org/10.1007/978-94-007-5125-5_35
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