A New Rectangular Plate Element for Vibration Analysis of Laminated Composites

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 1, 1998, Pages 80-86

  Qian, Guan Liang ^a   Hoa, Suong V ^a   Xiao, Xinran ^a  

^a Concordia University ^*  (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTERPOLATION; LAMINATED COMPOSITES; MATHEMATICAL MODELS; OPTIMIZATION; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

HIGHER ORDER SHEAR DEFORMATION THEORY (HSDT); RECTANGULAR PLATE ELEMENT;

PLATES (STRUCTURAL COMPONENTS);

EID: 0031693904     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893830     Document Type: Article

References (22)

1. Armanios, E. A., and Negan, H. M., 1983, “An Improved Rectangular Element for Plate Bending Analysis,” Computers and Structures, Vol. 16, pp. 677-686.
2. Ghost, A. K., and Dey, S. S., 1994, “Free Vibration of Laminated Composite Plates-A Simple Finite Element Based on Higher Order Theory,” Computers and Structures, Vol. 52, pp. 397-404.
3. Hinton, E., and Owen, D. R. J., 1984, Finite Element Software for Plates and Shells, Pineridge Press Limited.
4. Hinton, E., and Bicanic, N., 1979, “A Comparison of Lagrangian and Serendipity Mindlin Plate Elements for Free Vibration Analysis,” Computers and Structures, Vol. 10, pp. 483-493.
5. Hua, H. X., 1993, “Identification of Plate Rigities of Anisotropic Rectangular Plates, Sandwich Ptanels and Circular Orthotropic Disks Using Vibration Data,” Ph.D. thesis, Free University of Brussels, Belgium.
6. Lin, D. X., Ni, R. G., and Adams, R. D., 1984, “Prediction and Measurement of the Vibrational Damping Parameters of Carbon and Glass Fibre-Reinforced Plastics Plates,” J. Composite Materials, Vol. 18, pp. 132-1521.
7. Malkus, D. S., and Hughes, T. J. R., 1978, “Mixed Finite Element Methods- Reduced and Selective Integration Techniques; A Unification of Concepts,” Comput. Meth. Appl. Mech Engng., Vol. 15, pp. 63-81.
8. Mallikarjuna and Kant, T., 1989, “Free Vibration of Symmetrically Laminated Plates Using a Higher Order Theory With Finite Element Technique” Int. J. Numer. Methods Engng., Vol. 28, pp. 1875-1889.
9. Mottershead, J. E., and Friswell, M. I., 1993, “Model Updating in Structural Dynamics: A Survey,” J. of Sound and Vib., Vol. 167, pp. 347-375.
10. Noor, A. K., and Burton, W. S., 1989, “Assessment of Shear Deformation Theories for Multilayered Composite Plates,” Appl Mech. Rev., Vol. 42, pp. 1-13.
11. Noor, A. K., 1973, “Free Vibration of Multi-layered Composite Plates,” AIAA J., Vol. 11, pp. 1038-1039.
12. Pane, V., 1975, Theories of Elastic Plates, pp. 393-413, Noordhoff International Publishing.
13. Phan, N. D., and Reddy, J. N., 1985, “Analysis of Laminated Composite Plates Using a Higher-Order Shear Deformation Theory,” Int. J. for Numer. Meth. Engng., Vol. 21, pp. 2201-2219.
14. Reddy, J. N., and Robbins, D. H., Jr., 1994 “Theories and Computational Models for Composite Laminates,” Appl Mech. Rev., Vol. 47, pp. 147-169.
15. Reddy, J. N., 1984, “A Simple Higher-Order Theory for Laminated Composite Plates,” ASME Journal of Applied Mechanics, Vol. 54, pp. 745-752.
16. Senthilnathan, N. R., Lim, S. P., Lee, K. H., and Chow, S. T., 1988, “Vibration of Laminated Orthotropic Plates Using a Simplified Higher Order Deformation Theory,” Composite Structures, Vol. 10, pp. 211-229.
17. Sivakumaran, K. S., 1988, “Frequency Analysis of Symmetrically Laminated Plates With Free Edges,” J. Sound Vib., Vol. 125, pp. 211-225.
18. Sol, H., 1986, “Identification of Anisotropic Plate Rigidities Using Free Vibration Data” Ph.D. Thesis, Free University of Brussels, Belgium.
19. Wiberg, N. E., Bausys, R., and Zeng, L. F., 1994, “Free Vibration Analysis of Reissner-Mindlin Plate Using a Linked Interpolated Mixed Element,” Computer and Structures, Vol, 52, pp. 979-986.
20. Wu, C. P., and Chen, W. Y., 1994, “Vibration and Stability of Laminated Plates Based on a Local Higher-Order Plate Theory,” J. Sound Vib., Vol. 177, pp. 503-520.
21. Zienkiewicz, O. C., Xu, Z., Zeng, L. F., Samuelsson, A., and Wiberg, N. E., 1993, “Linked Interpolation for Ressner-Mindlin Plate Elements, Part 1-A Simple Quadrilateral,” Int. J. Numer. Method Engng., Vol. 36, pp. 3043-3056.
22. Zienkiewicz, O. C., Too, J., and Taylor, R. L., 1970, “Reduced Integration Technique in General Analysis of Plates and Shells,” Int. J. Numer. Method Engng., Vol. 2, pp. 419-451.