The future is fuzzy - An approach to comprehensive modeling and analysis of systems with epistemic uncertainties

LSAME 2008 - Leuven Symposium on Applied Mechanics in Engineering, Conference Proceedings

Volumn , Issue , 2008, Pages 511-521

  Hanss, M ^a   Turrin, S ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY SET THEORY; FUZZY SETS; STRUCTURAL DYNAMICS;

ALEATORY UNCERTAINTY; AUTOMOTIVE CRASHES; COMPREHENSIVE MODEL; EPISTEMIC UNCERTAINTIES; MODELING PROCEDURE; NONLINEAR STRUCTURAL DYNAMICS; PROBABILITY THEORY; TRANSFORMATION METHODS;

UNCERTAINTY ANALYSIS;

EID: 84943396101     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. W. L. Oberkampf, Model Validation under Both Aleatory and Epistemic Uncertainty, Proceedings of NATO AVT-147 Symposium on Computational Uncertainty in Military Vehicle Design, Athens, Greece (2007).
2. G. I. Schuëller, On the Treatment of Uncertainties in Structural Mechanics and Analysis, Computers and Structures, Vol. 85, No. 5-6 (2007), pp. 235243.
3. F. M. Hemez, J. M. Booker, J. R. Langenbrunner, Answering The Question of Sufficiency: How Much Uncertainty is Enough?, G. Manson, K.Worden (eds.), Proceedings of The 1st International Conference on Uncertainty in Structural Dynamics-USD 2007, Sheffield, UK (2007), pp. 23-48.
4. L. A. Zadeh, Fuzzy sets, Information and Control, Vol. 8 (1965), pp. 338-353.
5. A. Kaufmann, M. M. Gupta, Introduction to Fuzzy Arithmetic, Van Nostrand Reinhold, New York (1991).
6. M. Hanss, Applied Fuzzy Arithmetic-An Introduction with Engineering Applications, Springer, Berlin (2005).
7. M. Hanss, The transformation method for the simulation and analysis of systems with uncertain parameters, Fuzzy Sets and Systems, Vol. 130, No. 3, Elsevier (2002), pp. 277-289.
8. H. Contreras, The stochastic finite-element method, Computers and Structures, Vol. 12 (1980), pp. 341-348.
9. K. Handa, K. Anderson, Application of finite element methods in the statistical analysis of structures, T. Moan and M. Shinozuka (eds.), Proceedings of the 3rd International Conference on Structural Safety and Reliability, Elsevier, Amsterdam (1981), pp. 409-417.
10. R. G. Ghanem, P. D. Spanos, Stochastic Finite Elements: A Spectral Approach, Springer, New York (1991).
11. M. Kleiber, T. D. Hien, Stochastic Finite Element Method, John Wiley & Sons, New York (1993).
12. I. Elishakoff, Y. J. Ren, The bird's eye view on finite element method for structures with large stochastic variations, Computer Methods in Applied Mechanics and Engineering, Vol. 168 (1998), pp. 51-61.
13. S. S. Rao, J. P. Sawyer, Fuzzy finite element approach for the analysis of imprecisely defined systems, AIAA Journal, Vol. 33 (1995), pp. 2364-2370.
14. D. Moens, D. Vandepitte, Fuzzy finite element method for frequency response function analysis of uncertain structures, AIAA Journal, Vol. 40 (2002), pp. 126-136.
15. M. Hanss, The extended transformation method for the simulation and analysis of fuzzy-parameterized models, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 11, No. 6, World Scientific (2003), pp. 711-727.