Short-term dynamic instability of a system with randomly varying damping

JVC/Journal of Vibration and Control

Volumn 12, Issue 5, 2006, Pages 527-536

  Dimentberg, M F ^a   Naess, A ^b  

^a Worcester Polytechnic Institute   (United States)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Dynamic instability; Excursions; Random vibrations; Slepian model

Indexed keywords

DYNAMIC INSTABILITY; EXCURSIONS; KRYLOV-BOGOLIUBOV METHOD; RANDOM VIBRATIONS; SLEPIAN MODEL;

ASYMPTOTIC STABILITY; DAMPING; DEGREES OF FREEDOM (MECHANICS); MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RELIABILITY;

SYSTEM STABILITY;

EID: 33646348443     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546306064444     Document Type: Article

References (9)

1. Bogoliubov, N.N. and Mitropol'sky Yu.A., 1961, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon & Breach, New York.
2. Den Hartog, J.P. Mechanical Vibrations, 4th ed., 1985, Dover, New York.
3. Dimentberg, M.F., 2002, "Lotka-Volterra system in a random environment", Physical Review E, 65, 036204-036204.
4. Dimentberg, M.F. and Lin, Y.K., 2002 "An exact solution for response spectral density of a SDOF system under both parametric and additive random excitations". Journal of Applied Mechanics, 69, 399 - 400.
5. Ibrahim, R., 1998, Stabilization and stochastic bifurcation, with application to nonlinear ocean structures, in Stochastically Excited Nonlinear Ocean Structures, M.F. Shlesinger and T. Swean, eds, World Scientific, Singapore, pp. 1 - 52.
6. Nayfeh, A. H. and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York.
7. Leadbetter M.R, Lindgren G. and Rootzén H., 1983, Extremes and Related Properties of Random Sequences and Processes, Springer-Verlag, New York.
8. Lin, Y.K. and Cai, G.Q., 1995, Probabilistic Structural Dynamics, McGraw Hill, New York.
9. Stratonovich, R.L., 1967. Topics in the Theory of Random Noise, vol. II. Gordon&Breach, New York.