Global and chaotic dynamics for a parametrically excited thin plate

Journal of Sound and Vibration

Volumn 239, Issue 5, 2001, Pages 1013-1036

  Zhang, W ^a  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES; STRUCTURAL ANALYSIS;

CHAOTIC DYNAMICS; GLOBAL BIFURCATIONS; MAPLE PROGRAM; THIN PLATE;

PLATES (STRUCTURAL COMPONENTS);

EID: 0035246524     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.3182     Document Type: Article

References (21)

1. Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions
2. Local and global bifurcations in parametrically excited vibrations nearly square plates
3. Global bifurcations in the motion of parametrically excited thin plate
4. Orbits homoclinic to resonance with an application to chaos in a model of the forced and damped sine-Gordon equation
5. Modal interaction in circular plates
6. A nonlinear composite plate theory
7. Effects of initial geometric imperfections on the interaction between forced and parametric vibrations
8. Subharmonic travelling waves in a geometrically non-linear circular plate
9. Non-linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance
10. Non-linear dynamics of a shallow arch under periodic excitation-I. 1:2 internal resonance
11. Non-linear dynamics of a shallow arch under periodic excitation-II. 1:1 internal resonance
12. Two-mode response of simply supported, rectangular laminated plates
13. Bifurcation analyses in the parametrically excited vibrations of cylindrical panels
14. Chaotic dynamics of shallow arch structures under 1:1 internal resonance conditions
15. Chaotic dynamics of shallow arch structures under 1:2 internal resonance
16. Vibration analysis on a thin plate with the aid of computation of normal forms
17. On the existence of chaos in a parametrically forced mechanical systems with broken O(2) symmetry