Hierarchical finite element analyses of geometrically non-linear vibration of beams and plane frames

Journal of Sound and Vibration

Volumn 246, Issue 2, 2001, Pages 225-244

  Ribeiro, P ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FUNCTIONS; NATURAL FREQUENCIES; OSCILLATIONS; POLYNOMIALS; STRUCTURAL LOADS; TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

HIERARCHICAL FINITE ELEMENT METHOD; NONLINEAR VIBRATION; TIME DOMAIN NONLINEAR ANALYSIS;

BEAMS AND GIRDERS;

EID: 0035855788     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3634     Document Type: Article

References (28)

1. Free vibration analysis of a flat plate using the hierarchical finite element method
2. Linear vibration analysis of laminated rectangular plates using the hierarchical finite element method-I: Free vibration analysis
3. Linear vibration analysis of laminated rectangular plates using the hierarchical finite element method-II: Forced vibration analysis
4. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method-I: The fundamental mode of isotropic plates
5. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method-II: 1st mode of laminated plates and higher modes of isotropic and laminated plates
6. Nonlinear vibration of plates by the hierarchical finite element and continuation methods
7. Nonlinear vibration of composite laminated plates by the hierarchical finite element method
8. Non-linear vibration of beams with internal resonance by the hierarchical finite element method
9. Some limitations associated with the use of k-orthogonal polynomials in hierarchical versions of the finite element method
10. An alternative hierarchical finite element formulation applied to plate vibrations
11. Fourier p-element for the analysis of beams and plates
12. A hierarchical functions set for predicting very high order plate bending modes with any boundary conditions
13. Free vibration of thin, isotropic, open, conical panels
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15. The role of damping in vibration theory
16. Incremental time-space finite strip method for non-linear structural vibrations
17. Vibrational energy dissipation at structural support junctions
18. The second harmonic and the validity of Duffing's equation for vibration of beams with large displacements
19. Lagrange-type formulation for finite element analysis of non-linear beam vibrations
20. The effect of an axial force on the vibration of hinged bars
21. Large deflections and large-amplitude free vibrations of straight and curved beams
22. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method
23. Study of nonlinear free vibration of beams by the hierarchical finite element method
24. Bifurcations and chaos in a quasi-periodically forced beam: Theory, simulation and experiment