Analysis of discrete vibratory systems with parameter uncertainties, part i: Eigensolution

Journal of Sound and Vibration

Volumn 174, Issue 3, 1994, Pages 379-394

  Lee, C ^a   Singh, R ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0028467186     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1994.1282     Document Type: Article

References (19)

1. R. A. Ibrahim 1987 Applied Mechanics Reviews 40, 309-328. Structural dynamics with parameter uncertainties.
2. H. Benaroya and M. Rehak 1988 Applied Mechanics Reviews 41, 201-213. Finite element methods in probabilistic structural analysis.
3. P. W. Anderson 1958 Physical Review 109, 1492-1505. Absence of diffusion in certain random lattices.
4. J. D. Collins and W. T. Thomson 1969 American Institute of Aeronautics and Astronautics Journal 7, 642-648. The eigenvalue problem for structural systems with statistical properties.
5. G. C. Hart 1973 Journal of Engineering Mechanics 99(EM3), 481-494. Eigenvalue uncertainty in stressed structures.
6. C. Pierre 1985 Ph.D. Thesis, Duke University, Durham, North Carolina. Analysis of structural systems with parameter uncertainties.
7. A. J. Schiff and J. L. Bogdanoff 1972 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 39, 535-538. An estimator for the standard deviation of a natural frequency—part 1.
8. W. E. Boyce 1968 Random Eigenvalue Problems 1. New York: Academic Press.
9. J. Scheidt and W. Purkert 1983 Random Eigenvalue Problems. New York: Elsevier.
10. T. T. Soong 1973 Random Differential Equations in Science and Engineering. New York: Academic Press.
11. R. Syski 1967 in Modern Nonlinear Equations (T. L. Satty, editor). New York: McGraw-Hill, see Chapter 8, Stochastic differential equation.
12. E. H. Kener 1954 Proceedings of the Physics Society 69A, 234. Periodic impurities in a periodic lattice.
13. T. T. Soong and J. L. Bogdanoff 1963 International Journal of Mechanical Sciences 5, 237-265. On the natural frequencies of a disorder linear chain of N degrees of freedom.
14. M. Shinozuka and C. A. Astill 1972 American Institute of Aeronautics and Astronautics 10, 456-462. Random eigenvalue problems in structural analysis.
15. B. J. T. Morgan 1984 Elements of Simulation. New York: Chapman and Hall.
16. C. Pierre and E. H. Dowell 1987 Journal of Sound and Vibration 114, 549-564. Localization of vibrations by structural irregularity.
17. T. K. Hasselman and G. C. Hart 1972 Journal of Engineering Mechanics 98(EM3), 561-579. Modal analysis of random structural systems.
18. A. Graham 1981 Kronecker Products and Matrix Calculus with Applications. Chichester: Ellis Horwood.
19. A. Touran and E. P. Wiser 1992 Journal of Construction Engineering and Management 118, 258-272. Monte Carlo technique with correlated random variables.