A proper orthogonal decomposition approach to coupled structural-mechanical systems

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Volumn 91, Issue , 1996, Pages 7-11

  Georgiou, Ioannis T ^a,b   Schwartz, Ira B ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NRC NRL Research Associate

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; PENDULUMS;

PROPER ORTHOGONAL DECOMPOSITION (POD) METHOD; VERTICAL LINEAR VISCOELASTIC ROD;

DYNAMICS;

EID: 0030383063     PISSN: 15214613     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (11)

1. Bolotin, V. V., 1964, "The Dynamic Stability of Elastic Systems," Holden-Day, Inc., San Francisco.
2. Georgiou, I. T., and Schwartz, I. B., 1996a, "The Slow Invariant Manifold of a Conservative Pendulum-Oscillator System," International Journal of Bifurcation and Chaos, [in press].
3. Georgiou, I. T., and Schwartz, I. B., 1996b, "The Coherent Structures of a Pendulum-Linear Viscoelastic Rod Structural System," (submitted).
4. Fenichel, N. 1979 "Geometric Singular Perturbation Theory for Ordinary Differential Equations," Journal of Differential Equations, Vol. 31, pp. 53-98.
5. Georgiou, I. T., Bajaj, A. K., and Corless, M., 1996a, "Slow and Fast Invariant Manifolds, and Normal Modes in a Two-Degree-Of-Freedom Structural Dynamical System with Multiple Equilibrium States," Int. J. of Non-Linear Mechanics, [in press].
6. Georgiou, I. T., and Schwartz, I. B., 1996c, "The Slow Dynamics of a Pendulum Coupled to a Flexible Rod," (submitted).
7. Rosenberg, R. M., 1964, "On the Existence of Normal Mode Vibrations of Nonlinear Systems With two degrees of Freedom," Quarterly of Applied Mathematics, Vol. XXII, No. 3, 217-234.
8. Sirovich, L., 1987, "Turbulence and the Dynamics of Coherent Structures, Pt. I, Coherent Structures," Quart. Appl. Math., Vol. 45, 561-571.
9. Cusumano, J. P., and Sharkady, and Kimble, B. W., 1994, "Experimental Measurements of Dimensionality and Spatial Coherence in the Dynamics of a Flexible-Beam Impact Oscillator," Phil. Trans. R. Soc. Lond. A, 347, 421-438.
10. Schwartz, I. B. and Triandaf, T., 1996, "Chaos and Intermittent Bursting in a Reaction-Diffusion Process," Chaos, [in press].
11. Ciliberto, S. and Nicolaenko, B., 1991, Europhysics Letts, 14, 303-308 (1991).