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Abstract

A finite element method for free vibration characteristics of rotating laminated composite pretwisted cantilever plates is presented. A nine noded three-dimensional degenerated composite shell element is developed and used for the present analysis. A trigonometric increment of pretwist angle along the plate length is considered. The cubic polynomial approximation is assumed for pretwist angle along each elemental length. Plates with exponentially varying thickness and variable chordwise width are studied. Results are obtained to investigate the effects of angle of pretwist, thickness ratio, fibre orientation, aspect ratio, skew angle and precone angle on the natural frequencies of graphite/epoxy plates.

Keywords

finite element shear deformation composite laminate displacement transverse shear stress stacking sequence

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References

1. Chamis, C. C. 1977. "Vibration Characteristics of Composite Fan Blades and Comparison with Measured Data," J. Aircraft, 14:644-647.

2. White, J. F. and O. O. Bendiksen . 1987. "Areoelastic Behavior of Low Aspect Ratio Metal and Composite Blades," J. Engg. Gas Turbines and Poiver, Trans. ASME, 109:168-175.

3. Nabi, S. M. and N. Ganesan . 1993. "Vibration and Damping Analysis of Pre-twisted Composite Blades," Computers and Structures, 47(2):275-280.

4. Qatu, M. S. and A. W. Leissa . 1991. "Vibration Studies for Laminated Composite Twisted Cantilever Plates," Int. J. Mech. Sc., 33(11):927-940.

5. McGee, O. G. and H. R. Chu . 1994. "Three-dimensional Vibration Analysis of Rotating Laminated Composite Blades," J. Engg Gas Turbines and Poiver, Trans. ASME, 116:663-671.

6. Bhumbla, R. , J. B. Kosmatka and J. N. Reddy . 1990. "Free Vibration Behavior of Spinning Shear Deformable Plates Composed of Composite Materials," AIAA J., 28:1962-1970.

7. Bossak, M. A. J. and O. C. Zienkiewicz . 1973. "Free Vibration of Initially Stressed Solids with Particular Reference to Centrifugal Force Effects in Rotating Machinery," J. Strain Analysis, 8(4):245-252.

8. Shaw, D. , K. Y. Shen and J. T. S. Wang . 1988. "Flexural Vibration of Rotating Rectangular Plates of Variable Thickness," J. Sound and Vibration, 126(3):373-385.

9. Sabuncu, M. 1985. "Coupled Vibration Analysis of Blades with Angular Pretwist of Cubic Distribution," AIAA J., 23(9): 1424-1430.

10.

10. Cook, R. D. , D. S. Malkus and M. E. Pleasha . 1989. "Concepts and Applications of Finite Element Analysis," New York: John Wiley and Sons.

11.

11. Panda, S. C. and R. Natarajan . 1979. "Finite Element Analysis of Laminated Composite Plates," Int. J. Numerical Methods in Engineering, 14:69-79.

12.

12. Bathe, K. J. 1990. "Finite Element Procedures in Engineering Analysis," Prentice Hall of India, New Delhi.

13.

13. Jensen, D. W. and E. F. Crawley . 1984. "Frequency Determination Techniques for Cantilevered Plates with Bending Torsion Coupling," AIAA J., 22(3):415-420.

14.

14. Crawley, E. F. 1979. "The Natural Modes of Graphite/Epoxy Cantilever Plates and Shells," J. Composite Materials, 13:195-205.

15.

15. Reddy, J. N. and N. D. Phan . 1985. "Stability and Vibration of Isotropic, Orthotropic and Laminated Plates According to a Higher-Order Shear Deformation Theory," J. Sound and Vibration, 98(2): 157-170.

16.

16. Dokainish, M. A. and S. Rawtani . 1971. "Vibration Analysis of Rotating Cantilever Plates," Int. J. Numerical Methods in Engineering, 3:233-248.

17.

17. Henry, R. and M. Lalanne . 1974. "Vibration Analysis of Rotating Compressor Blades," J. Engg. Industry, Trans. ASME, 96(3):1028-1035.

18.

18. Tsai, S. W. and H. T. Hahn . 1980. "Introduction to Composite Materials," Technomic Publishing Co. Inc., USA.

Finite Element Free Vibration Analysis of Rotating Laminated Composite Pretwisted Cantilever Plates

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