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Abstract

A high precision triangular plate bending element proposed by the second author of this paper has been upgraded for the free vibration analysis of laminated composite right angle triangular plates. The effect of shear deformation has been incorporated. An efficient mass lumping scheme with rotary inertia has been recommended. Numerical examples of composite triangular plates having different thickness ratios, side ratios, fibre-orientations, number of layers and boundary conditions have been solved by this element. For validation of the present formulation and element few results on isotropic and orthotropic plates have been compared with those obtained from literatures. The results on composite plates have been presented as new results.

Keywords

free vibration lumpedmass finite element cross and angle ply laminated composite triangular plate.

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References

1. Zienkiewics, O.C. and Taylor, R.L. (1988). The Finite Element Method (two volumes). New York: McGraw-Hill.

2. Batoz, J.L. and Lardeur, P.A. (1989). Discrete shear triangular nine dof element for the analysis of thick to very thin plates. International Journal for Numerical Methods in Engineering, 28: 533-560.

3. Petrolito, J.A. (1989). Modified ACM element for thick plate analysis. Computers and Structures, 32: 1303-1309.

4. Yuan, F.G. and Miller, R.E. (1989). A cubic triangular finite element for flat plates with shear. International Journal for Numerical Methods in Engineering, 28: 109-126.

5. Sengupta, D. (1991). Stress analysis of flat plates with shear using explicit stiffness matrix. International Journal for Numerical Methods in Engineering, 32: 1389-1409.

6. Batoz, J.L. and Katili, I. (1992). On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints. International Journal for Numerical Methods in Engineering, 35: 1603-1632.

7. Zhongnian, Xu. (1992). A thick-thin triangular plate element. International Journal for Numerical Methods in Engineering, 33: 963-973.

8. Wanji, C. and Cheung, Y.K. (2000). Refined quadrilateral element based on Mindlin/Reissner plate theory. International Journal for Numerical Methods in Engineering, 47: 605-627.

9. Hinton, E. , Rock, T. and Zienkiewicz, O.C. (1976). A note on mass lumping and related processes in the finite element method. Earthquake Engineering And Structural Dynamics, 4: 245-249.

10.

10. Haldar, S. , Sheikh, A.H. and Sarkar, S.K. (1999). Finite element analysis of composite plates with elastically restrained edges. Journal of Reinforced Plastics and Composites, 18(9): 626-641.

11.

11. Corr, R.B. and Jennings, A.A. (1976). Simultaneous iteration algorithm for symmetric eigenvalue problems. International Journal for Numerical Methods in Engineering, 10: 647-663.

12.

12. Kim, C.S. and Dickinson, S.M. (1990). The free flexural vibration of right triangular isotropic and orthotropic plates. Journal of Sound and Vibration, 141(2): 291-311.

13.

13. Reddy, J.N. and Chao, W.C. (1981). A comparison of closed-form and finite element solutions of thick laminated an isotropic rectangular plate. Nuclear Engineering and Design, 64: 153-167.

14.

14. Khdeir, A.A. and Librescu, L. (1989). Analysis of symmetric cross ply elastic plates using a higher order theory, Part II, buckling and free vibration. Computers and Structures, 9(4): 259-277.

Free Vibration Analysis of Composite Right Angle Triangular Plate Using a Shear Flexible Element

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