Free vibration of plates by the high accuracy quadrature element method

Journal of Sound and Vibration

Volumn 202, Issue 5, 1997, Pages 689-702

  Striz, A G ^a   Chen, W L ^a   Bert, C W ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; VIBRATIONS (MECHANICAL);

DIFFERENTIAL QUADRATURE METHOD (DQM); GALERKIN FINITE ELEMENT TECHNIQUE; QUADRATURE ELEMENT METHOD (QEM);

PLATES (STRUCTURAL COMPONENTS);

EID: 0031145244     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0846     Document Type: Article

References (17)

1. R. E. BELLMAN and J. CASTI 1971 Journal of Mathematical Analysis and Applications 34, 235-238. Differential quadrature and long-term integration.
2. A. G. STRIZ, S. K. JANG and C. W. BERT 1988 Thin-Walled Structures 6, 51-62. Nonlinear bending analysis of thin circular plates by differential quadrature.
3. A. N. SHERBOURNE and M. D. PANDEY 1991 Computers and Structures 40, 903-913. Differential quadrature method in the buckling analysis of beams and composite plates.
4. C. W. BERT, X. WANG and A. G. STRIZ 1993 International Journal of Solids and Structures 30, 1737-1744. Differential quadrature for static and free vibration analysis of anisotropic plates.
5. A. G. STRIZ, W. L. CHEN and C. W. BERT 1994 International Journal of Solids and Structures 31, 2807-2818. Static analysis of structures by the quadrature element method (QEM).
6. A. G. STRIZ, W. L. CHEN and C. W. BERT 1995 Proceedings, 36th Structures, Structural Dynamics, and Materials Conference, New Orleans, LA, 957-965. High-accuracy plane stress and plate elements in the quadrature element method.
7. J. M. WHITNEY 1987 Structural Analysis of Laminated Plates. Lancaster, PA: Technomic.
8. W. L. CHEN, A. G. STRIZ and C. W. BERT 1995 Proceedings, ICES '95, Mauna Lani, Hawaii, 660-665. A new approach for solving fourth-order equations by the differential quadrature method.
9. T. OTA and M. HAMADA 1969 Bulletin of the Japan Society of Mechanical Engineers 6, 397-403. Fundamental frequencies of simply supported but partially clamped square plates.
10. S. C. FAN and Y. K. CHEUNG 1984 Journal of Sound and Vibration 93, 81-94. Flexural free vibrations of rectangular plates with complex support conditions.
11. Y. NARITA 1981 Journal of Sound and Vibration 72, 345-355. Application of a series-type method to vibration of orthotropic rectangular plates with mixed boundary conditions.
12. I. CHOPRA 1974 International Journal of Mechanical Science 16, 337-344. Vibration of stepped thickness plates.
13. G. B. WARBURTON 1975 International Journal of Mechanical Science 17, 239. Comment on "Vibration of stepped thickness plates" by I. Chopra.
14. J. YUAN and S. M. DICKINSON 1992 Journal of Sound and Vibration 159, 39-55. The flexural vibration of rectangular plate systems approached by using artificial spring in the Rayleigh-Ritz method.
15. S. F. BASSILY and S. M. DICKINSON 1975 Journal of Applied Mechanics 42, 858-864. On the use of beam functions for problems of plates involving free edges.
16. D. J. GORMAN 1976 Journal of Sound and Vibration 49, 453-463. Free vibration analysis of cantilever plates by the method of superposition.
17. H. T. SALIBA 1984 Journal of Sound and Vibration 94, 381-395. Free vibration analysis of rectangular cantilever plates with symmetrically distributed point supports along the edges.