Fuzzy eigensolutions of mechanical structures

Engineering Computations (Swansea, Wales)

Volumn 21, Issue 1, 2004, Pages 66-77

  Massa, F ^a   Lallemand, B ^a   Tison, T ^a   Level, P ^a  

^a UNIVERSITÉ DE VALENCIENNES   (France)

Author keywords

Eigenvalues and eigenfunctions; Finite element analysis; Fuzzy logic

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FUZZY CONTROL; NATURAL FREQUENCIES; PROBABILITY; SENSITIVITY ANALYSIS;

MECHANICAL STRUCTURES; STATIC ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 1642411025     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400410511846     Document Type: Article

References (24)

1. Abdel-Tawab, K. and Noor, A.K. (1999), "A fuzzy-set analysis for a dynamic thermo-elasto-viscoplastic damage response", Computers and Structures, Vol. 70, pp. 91-107.
2. Adelman, H.M. and Haftka, R.T. (1986), "Sensitivity analysis of discrete structural systems", AIAA Journal, Vol. 24, pp. 823-32.
3. Chen, L. and Rao, S.S. (1997), "Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems", Finite Elements in Analysis and Design, Vol. 27, pp. 69-83.
4. Cherki, A., Plessis, G., Lallemand, B., Tison, T. and Level, P. (2000), "Fuzzy behavior of mechanical systems with uncertain boundary conditions", Computer Methods in Applied Mechanics and Engineering, Vol. 189, pp. 863-73.
5. Fox, R.L. and Kapoor, M.P. (1968), "Rate of change of eigenvalues and eigenvectors", AIAA Journal, Vol. 6, pp. 2426-9.
6. Lallemand, B., Cherki, A., Tison, T. and Level, P. (1999a), "Fuzzy modal finite element analysis of structures with imprecise material properties", Journal of Sound and Vibration, Vol. 220 No. 2, pp. 353-64.
7. Lallemand, B., Plessis, G., Tison, T. and Level, P. (1999b), "Neumann expansion for fuzzy finite element analysis", Engineering computations, Vol. 16 No. 5, pp. 572-83.
8. Plessis, G., Lallemand, B., Tison, T. and Level, P. (2002), "Fuzzy modal parameters", Journal of Sound and Vibration, Vol. 233 No. 5, pp. 797-812.
9. Qui, Z.P., Chen, S.H. and Zhou, Z.P. (1994), "The bound on set of possible eigenvalues of structures with interval uncertain parameters", Proceedings of the International Conference on Vibration Engineering, ICVE'94, pp. 31-4.
10. Qiu, Z., Elishakoff, I. and Starnes, J.H. Jr (1996), "The bound set of possible eigenvalues of structures with uncertain but non-random parameters", Chaos, Solitons Fractals, Vol. 11 No. 7, pp. 1845-57.
11. Rao, S.S. (1996), "Fuzzy approaches in the analysis and design of vehicle structures for crashworthiness", Proceedings of the NATO-ASI on Crashworthiness of Transportation Systems, Structural Impact and Occupant Protection, Troia, Portugal.
12. Shinozuka, M. (1972), "Monte Carlo solution of structural dynamics", Computers and Structures, Vol. 2, pp. 855-74.
13. Shinozuka, M. and Astill, C.S. (1972), "Random eigenvalue problems in structural analysis", AIAA Journal, Vol. 10 No. 4, pp. 456-62.
14. Sutter, T.R., Camarda, C.J., Walsh, J.L. and Adelman, W.M. (1988), "Comparison of several methods for calculating vibration mode shape derivatives", AIAA Journal, Vol. 26 No. 12, pp. 1506-11.
15. Valliappan, S. and Pham, T.D. (1993), "Fuzzy finite element analysis of a foundation on an elastic soil medium", International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 17, pp. 771-89.
16. Valliappan, S. and Pham, T.D. (1995), "Elasto-plastic finite element analysis with fuzzy parameters", International Journal for Numerical and Analytical Methods in Engineering, Vol. 38, pp. 531-48.
17. Van Vickenroy, G. and De Wilde, W.P. (1995), "The use of Monte Carlo techniques in statistical finite element methods for the determination of the structural behaviour of composite materials structural components", Composite Structures, Vol. 32, pp. 247-53.
18. Wang, B.P. (1991), "Improved approximate methods for computing eigenvector derivatives in structural dynamics", AIAA Journal, Vol. 29 No. 6, pp. 1018-20.
19. Yu, M., Liu, Z-S. and Wang, D-J. (1996), "Comparison of several approximate modal methods for computing mode shape derivatives", Computers and Structures, Vol. 62 No. 2, pp. 381-93.
20. Zadeh, L.A. (1965), "Fuzzy sets", Information and Control, Vol. 8, pp. 338-53.
21. Zadeh, L.A. (1975a), "The concept of a linguistic variable and its application to approximate reasoning - part I", Information Sciences, Vol. 8, pp. 199-249.
22. Zadeh, L.A. (1975b), "The concept of a linguistic variable and its application to approximate reasoning - part II", Information Sciences, Vol. 8, pp. 301-57.
23. Zadeh, L.A. (1975c), "The concept of a linguistic variable and its application to approximate reasoning - part III", Information Sciences, Vol. 9, pp. 43-80.
24. Zadeh, L.A. (1978), "Fuzzy Sets as a basis for a theory of possibility", Fuzzy Sets and Systems, Vol. 1, pp. 3-28.