On estimating frequency response function envelopes using the spectral element method and fuzzy sets

Journal of Sound and Vibration

Volumn 291, Issue 3-5, 2006, Pages 986-1003

  Nunes, R F ^a   Klimke, A ^b   Arruda, J R F ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING;

BOUNDARY ELEMENT MODELS; MID-FREQUENCY RANGE PROBLEM; MID-FREQUENCY RANGE PROBLEMS;

FUZZY SETS;

EID: 31644446787     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.07.024     Document Type: Article

References (31)

1. S.M. Battil, J.E. Renaud, and X. Gu Modeling and simulation uncertainty in multidisciplinary design optimization AIAA 4803 2000 1 11
2. C.S. Manohar, and S. Gupta Modeling and evaluation of structural reliability: current status and future directions Golden Jubilee Publications of Department of Civil Engineering, IISc-2002 2002 Bangalore India 1 93
3. A. Keese, A review of recent developments in the numerical solution of stochastic partial differential equations (Stochastic Finite Elements), in: Informatikbericht No. 2003/06, Technical University Braunschweig, Braunschweig, Germany, 2003.
4. H. Pradlwarter, G. Schuëller, Stochastic structural dynamics - a primer for practical applications, in: B.M. Ayyub (Ed.), Uncertainty Modeling in Vibration and Fuzzy Analysis of Structural Systems, Series on Stability, Vibration and Control of Systems B, vol. 10, World Scientific Publishing, Singapore, 1997, pp. 1-27 (Chapter 1).
5. A. Sarkar, and R. Ghanem A substructure approach for the midfrequency vibration of stochastic systems Journal of the Acoustical Society of America 113 2003 1922 1934
6. A. Sarkar, and R. Ghanem Mid-frequency structural dynamics with parameter uncertainty Computer Methods in Applied Mechanics and Engineering 191 2002 5499 5513
7. C.S. Manohar, and S. Adhikari Dynamics stiffness of randomly parametered beams Probabilistic Engineering Mechanics 13 1998 39 51
8. C.S. Manohar, and S. Adhikari Statistical analysis of vibration energy flow in randomly parametered trusses Journal of Sound and Vibration 217 1998 43 74
9. L. Jaulin, M. Kieffer, O. Didrit, and É. Walter Applied Interval Analysis 2001 Springer London, Great Britain
10. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
11. J.F. Doyle Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms second ed. 1997 Springer New York
12. W.H. Wittrick, and F.W. Williams A general algorithm for computing natural frequencies for elastic structures Quarterly Journal of Mechanics and Applied Mathematics 24 1971 263 284
13. L. Donadon, E.L. Albuquerque, and J.R.F. Arruda Modeling reinforced plates using the spectral element method Proceedings of Inter-Noise 2004 Prague Czech Republic
14. R.F. Nunes, S. Oexl, and J.R.F. Arruda Taking uncertainties into account in spectral element modeling of structures Proceedings of Inter-Noise 2004 Prague Czech Republic
15. J.R.F. Arruda, L. Donadon, R.F. Nunes, and E.L. Albuquerque On the modeling of reinforced plates in the mid-frequency range Proceedings of ISMA-2004 2004 Leuven Belgium
16. D. Dubois, and H. Prade Possibility Theory 1988 Plenum Press New York
17. D. Dubois, and H. Prade Fuzzy sets and systems, theory and applications Mathematics in Science and Engineering vol. 144 1980 Academic Press New York
18. H.-J. Zimmermann Fuzzy sets, decision making, and expert systems International Series in Management Science/Operations Research 1987 Kluwer Academic Publishers Boston, MA
19. H.-H. Bothe Fuzzy Logic second ed. 1995 Springer Berlin
20. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning Information Science 8 1975 199 249
21. J.J. Buckley, and Y. Qu On using α -cuts to evaluate fuzzy functions Fuzzy Sets and Systems 38 1990 309 312
22. M. Hanss The transformation method for the simulation and analysis of systems with uncertain parameters Fuzzy Sets and Systems 130 3 2002 277 289
23. A. Klimke, B. Wohlmuth, Computing expensive multivariate functions of fuzzy numbers using sparse grids, Fuzzy Sets and Systems 154 (3) (2005) 432-453.
24. M. Hanss Applied Fuzzy Arithmetic 2005 Springer Berlin
25. D. Moens, and D. Vandepitte Non-probabilistic approaches for non-deterministic dynamic FE analysis of imprecisely defined structures Proceedings of ISMA 2004 Leuven Belgium
26. W.M. Dong, and F.S. Wong Fuzzy weighted averages and implementation of the extension principle Fuzzy Sets and Systems 21 1987 183 199
27. A. Klimke, An efficient implementation of the transformation method of fuzzy arithmetic, in: E. Walker (Ed.), Proceedings of NAFIPS-2003, Chicago, IL, 2003, pp. 468-473.
28. M. Hanss The extended transformation method for the simulation and analysis of fuzzy-parameterized models International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 6 2003 711 727
29. A. Klimke, B. Wohlmuth, and K. Willner Uncertainty modeling using fuzzy arithmetic based on sparse grids: applications to dynamic systems International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 6 2004 745 759
30. A. Kaufmann, and M.M. Gupta Introduction to Fuzzy Arithmetic 1991 Van Nostrand Reinhold New York
31. R.S. Langley, and P. Bremner A hybrid method for the vibration analysis of complex structural-acoustic systems Journal of the Acoustical Society of America 105 1999 1657 1671