Solution theorems for the standard eigenvalue problem of structures with uncertain-but-bounded parameters

Journal of Sound and Vibration

Volumn 282, Issue 1-2, 2005, Pages 381-399

  Qiu, Zhiping ^a   Wang, Xiaojun ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION ANALYSIS; MATHEMATICAL MODELS; MODAL ANALYSIS; PARAMETER ESTIMATION; PROBLEM SOLVING; STRUCTURES (BUILT OBJECTS); THEOREM PROVING;

EIGENVALUE PROBLEMS; LOWER BOUNDS; PARAMETER DECOMPOSITION; STRUCTURAL PARAMETERS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 17844376231     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.02.024     Document Type: Article

References (11)

1. R.E. Moore Methods and Applications of Interval Analysis 1979 Prentice-Hall London
2. G. Alefeld, and J. Herzberger Introductions to Interval Computations 1983 Academic Press New York
3. J. Rohn, Eigenvalues of a symmetric interval matrix, Freiburger Intervall-Berichte, B7/1d, 1987, pp.67-72.
4. C. Hallot, A. Bartlett, On the eigenvalues of interval matrices, Technical Report, Department of Electric Engineering and Computer Engineering, University of Massachusetts, Amherst, MA, USA, 1987.
5. D. Hudak Ein Eigenwertproblem für Intervall-Matrizen Journal of Applied Mathematics and Mechanics (ZAMM) 64 1984 503 505
6. A. Deif, Advanced Matrix Theory for Scientists and Engineers, Abacus Press, Tunbridge Wells, UK, 1991, pp. 262-281
7. Z. P. Qiu, S. H. Chen, J. X. Na, The Rayleigh quotient method for computing eigenvalue bounds of vibrational systems with interval parameters, Acta Mechanics Solid Sinica 6(3) (1993) 309-318 (English edition).
8. Z.P. Qiu, S.H. Chen, and I. Elishakoff Natural frequencies of structures with uncertain-but-non-random parameters Journal of Optimization Theory and Applications 86 3 1995 669 683
9. Z.P. Qiu, S.H. Chen, and I. Elishakoff Bounds of eigenvalus for structures with an interval description of uncertain-but-non-random parameters Chaoos, Solitons & Fractals 7 3 1996 425 434
10. H. C. Hu, The Theory of Natural Vibration of MDOF Structures, Science Press of China, Beijing, 1987, pp.1-80, (in Chinese).
11. P. Lancaster, Theory of Matrices, Academic Press, New York, 1985, pp. 289-380