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Finite Element Analysis of Structures with Interval Parameters

Published online by Cambridge University Press:  05 May 2011

W. Gao
W. Gao*
Affiliation:
School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW2052, Australia
*
*Postdoctoral Research Fellow
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Abstract

This paper present a new method called the interval factor method for the finite element analysis of truss structures with interval parameters. Using the interval factor method, the structural parameters and loads can be considered as interval variables, and the structural stiffness matrix can then be divided into the product of two parts corresponding to its deterministic value and the interval factors. The computational expressions for lower and upper bounds, mean value and interval change ratio of structural placement and stress responses are derived from the static governing equations by means of the interval operations. The effect of the uncertainty of the structural parameters and loads on the structural static responses is demonstrated by truss structures.

Keywords

Finite element analysisInterval parametersInterval factor methodTruss structures.
Type
Articles
Information
Journal of Mechanics , Volume 23 , Issue 1 , March 2007 , pp. 79 - 85
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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References

1.Soize, C., “Random Matrix Theory and Non-Parametric Model of Random Uncertainties in Vibration Analysis,” Journal of Sound and Vibration, 263, pp. 893–916 (2003).CrossRefGoogle Scholar
2.Gao, W., “Reliability-Based Optimization of Active Non-Stationary Random Vibration Control,” AIAA Journal, 43, pp. 1293–1298 (2005).CrossRefGoogle Scholar
3.Li, J. and Chen, J. B., “The Probability Density Evolution Method for Dynamic Response Analysis of Non-Linear Stochastic Structures,” International Journal for Numerical Methods in Engineering, 65, pp. 882–903 (2006).CrossRefGoogle Scholar
4.Moens, D. and Vandepitte, D., “A Survey of Non-Probabilistic Uncertainty Treatment in Finite Element Analysis,” Computer Methods in Applied Mechanics and Engineering, 194, pp. 1527–1555 (2005).CrossRefGoogle Scholar
5.Moore, R. E., Methods and Applications of Interval Analysis, Prentice-Hall, England, London (1979)CrossRefGoogle Scholar
6.Alefeld, G. and Herzberber, J., Introductions to Interval Computations, Academic Press, USA, New York (1983).Google Scholar
7.Mc William, S., “Anti-Optimisation of Uncertain Structures Using Interval Analysis,” Computers & Structures, 79, pp. 421–430(2001).CrossRefGoogle Scholar
8.Chen, S. H., Lian, H. D. and Yang, X. W., “Interval Eigenvalue Analysis for Structures with Interval Parameters,” Finite Elements in Analysis and Design, 39, pp. 419–431 (2003).CrossRefGoogle Scholar
9.Qiu, Z. P. and Wang, X. J., “Parameter Perturbation Method for Dynamic Responses of Structures with Uncertain-But-Bounded Parameters Based on Interval Analysis,” International Journal of Solids and Structures, 42, pp. 4958–4970 (2005).CrossRefGoogle Scholar
10.Kim, S. E., Park, M. H. and Choi, S. H. “Practical Advanced Analysis and Design of Three-Dimensional Truss Bridges,” Journal of Constructional Steel Research, 57, pp. 907–923 (2001).CrossRefGoogle Scholar