Numerical study of large scale truss construction with structural uncertainties
DOI:
https://doi.org/10.34767/SIMIS.2011.04.02Słowa kluczowe:
Uncertain parameters, uncertainties and errors, Monte Carlo method, interval arithmetic, optimization, MATLABAbstrakt
The paper deals with efficiency and usability problem for the chosen solution methods for mechanical systems with structural uncertainties. They are significantly influencing the analysis results and the analysis itself. An application of the chosen approaches will be presented – the first one, a simple combination of only inf-values or only sup-values; the second one presents full combination of all inf-sup values; the third one uses the optimizing process as a tool for finding out an inf-sup solution and last one is Monte Carlo method as a comparison tool.
Bibliografia
Dekýš,V., Sapietová, A., Kocúr, R.: On the reliability estimation of the conveyer mechanism using the Monte Carlo method. Machine Dynamics Problems, 2006, Vol. 30, No 3, pp. 58-64, ISSN 0239-7730.
Moore R., E.: Interval Analysis. Prentice Hall, Englewood Cliffs : New Jersey, 1966.
Neumaier, A.: Interval Methods for Systems of Equations. Cambridge University Press : Cambridge, 1990.
Chen, S. H., Yang, X. W.: Interval Finite Element Method for Beam Structures. In: Finite Elem. Anal. Des., 34, pp. 75-88, 2000.
Sága, M., Vaško, M.: Algorithmization of Interval Structural Analysis. In: J. of Engineering, Annals of Faculty of Engineering Hunedoara, Tome VI, 2008, ISSN 1584-2665, pp. 149–160.
Kopas, P., Melicher, R., Handrik, M.: FE analysis of thermo-plastic material model using for bearing steels. In: Applied mechanics 2008, 10th International Scientific Conference : April 7-10, 2008,Wisła,Poland, 2008.ISBN 978-83-60102-49-7.
Jakubovičová L., Kopas P.: FE Analysis of Deformation Aluminium Alloy EN AW 2007.T3 in Bending and Torsion Loading Process. Technolog, No. 2, Vol. 3, 2011, pp. 7–10, ISSN 1337-8996.
Vaško, A.: Image analysis in materials engineering. In: Konferencje, Poland, 2007, Nr 61, pp. 667-670. ISSN 1234-9895.
Vaško, M.: Application of Genetic Algorithms for Solving of Mechanical Systems with Uncertain Parameters. PhD. thesis, Žilina, 2007.
Zhang, H.: Nondeterministic Linear Static Finite Element Analysis: An Interval Approach. School of Civil and Environmental Engineering : Georgia Institute of Technology, 2005.
