Reduced-Order Models of Weakly Nonlinear Spatially Continuous Systems

Nonlinear Dynamics

Volumn 16, Issue 2, 1998, Pages 105-125

  Nayfeh, Alih ^a  

^a State University   (United States)

Author keywords

Buckled beams; Distributed parameter systems; Galerkin procedure; Reduced order models

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

BUCKLED BEAMS; DISTRIBUTED PARAMETER SYSTEM; GALERKIN PROCEDURE; NONLINEAR CONTINUOUS SYSTEM; REDUCED ORDER MODELS;

NONLINEAR SYSTEMS;

EID: 0032097205     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008281121523     Document Type: Article

References (10)

1. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
2. Nayfeh, A. H., Nayfeh, J. F., and Mook, D. T., 'On methods for continuous systems with quadratic and cubic nonlinearities', Nonlinear Dynamics 3, 1992, 145-162.
3. Nayfeh, A. H., Nayfeh, S. A., and Pakdemirli, M., 'On the discretization of weakly nonlinear spatially continuous systems', in Nonlinear Dynamics and Stochastic Mechanics, W. Kliemann and N. Sri Namachchivaya (eds.), CRC Press, Boca Raton, FL, 1995, pp. 175-200.
4. Nayfeh, A. H. and Lacarbonara, W., 'On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities', Nonlinear Dynamics 13, 1997, 203-220.
5. Pakdemirli, M., Nayfeh, S. A., and Nayfeh, A. H., 'Analysis of one-to-one autoparametric resonances in cables. Discretization vs. direct treatment', Nonlinear Dynamics 8, 1995, 65-83.
6. Chin, C. and Nayfeh, A. H., 'Bifurcation and chaos in externally excited circular cylindrical shells', Journal of Applied Mechanics 63, 1996, 565-574.
7. Lacarbonara, W., Nayfeh, A. H., and Kreider, W., 'On approximate methods for weakly nonlinear distributed-parameter systems', Nonlinear Dynamics, 1998 (accepted).
8. Troger, H. and Steindl, A., Nonlinear Stability and Bifurcation Theory, Springer-Verlag, Wien, 1991.
9. Nayfeh, A. H., Perturbation Methods, Wiley, New York, 1973.
10. Nayfeh, A. H., Introduction to Perturbation Techniques, Wiley, New York, 1981.