A second-order approximation of multi-modal interactions in externally excited circular cylindrical shells

Nonlinear Dynamics

Volumn 26, Issue 1, 2001, Pages 45-66

  Chin, Char Ming ^a   Nayfeh, Ali H ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Bifurcation; Chaos; Internal resonance; One to one resonance; Shell vibrations; Simultaneous resonances; Two to one resonance

Indexed keywords

AMPLITUDE MODULATION; APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHAOS THEORY; CYLINDERS (SHAPES); DAMPING; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PHASE MODULATION; RESONANCE;

NONLINEAR RESPONSE;

SHELLS (STRUCTURES);

EID: 0035465970     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012987913909     Document Type: Article

References (25)

1. The elastic cylindrical shell under radial impulse
2. The elastic cylindrical shell under nearly uniform radial impulse
3. Axisymmetric response of a closed spherical shell to a nearly uniform radial impulse
4. Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse
5. Nonlinear oscillation of circular cylindrical shells
6. Nonlinear forced response of infinitely long circular cylindrical shells
7. Nonlinear axisymmetric responses of closed spherical shells to a radial harmonic excitation
8. Nonlinear response of infinitely long circular cylindrical shells to subharmonic radial loads
9. Nonlinear flexural vibrations of thin circular rings
10. Nonlinear vibrations of cylindrical shells
11. Nonlinear harmonic oscillations of gyroscopic structural systems and the case of a rotating ring
12. Miles' evolution equations for axisymmetric shells: Simple strange attractors in structural dynamics
13. Resonantly forced surface waves in a circular cylinder
14. Large amplitude oscillations of thin circular rings
15. Influence of internal resonance on the non-linear oscillations of a circular ring under primary resonance conditions
16. One-to-one autoparametric resonances in infinitely long cylindrical shells
17. Bifurcation and chaos in externally excited circular cylindrical shells