Free Vibrational Responses of FRP Composite Plates: Experimental and Numerical Studies

Abstract

A combined experimental and numerical study of the free vibration of composite FRP plates has been carried out. Modal testing has been conducted using impact excitation to determine the respective frequency response functions from which the modal parameters are extracted. A finite element method based computer code using an isoparametric element has also been developed to determine the modal characteristics. A commercial finite element package (NISA) has been used to validate the present code. Both theoretical and experimental results are compared and causes of discrepancies are investigated. The experimental data were found to correlate well with the numerical predictions.

Keywords

frequency response finite element method impact testing accelerance modal analysis

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References

1. Reissner, E. and Stavsky, Y. 1961. "Bending and Stretching of Certain Types of Heterogeneous Aelotropic Elastic Plates," Appl. Mech., Trans. ASME, 28:402-408.

2. Yang, P. C. , Norris, C. H. and Stavsky, Y. 1966. Int. J. Solids and Structures, 2:665-684.

3. Rock, T. A. and Hinton, E. 1976. "A Finite Element Method for the Free Vibration of Plates Allowing for Transverse Shear Deformation," Computers and Structures, 6:37-44.

4. Ochoa, O. and Reddy, J. N. 1987. Finite Element Analysis of Composite Laminates, Technomic Publishing Company, U.S.

5. Zienkiewicz, O. C. and Taylor, R. L. 1989. The Finite Element Method (4th Edition), Vol. 1, McGraw-Hill Book Company.

6. Han, W. and Petyt . 1996. "Linear Vibration Analysis of Laminated Rectangular Plates Using Hierarchical Finite Element Method-I. Free Vibration Analysis," Computers and Structures, 61(4):705-712.

7. Cawley, P. and Adams, R. D. 1978. "The Predicted and Experimental Natural Modes of Free-Free CFRP Plates," Journal of Composite Materials 12:336-347.

8. Ewins, D. J. 1984. Modal Testing: Theory and Practice, Research Studies Press Ltd.

9. Bureau Veritus (International Register for the Classification of Ships and Aircrafts). 1979. Rules and Regulationsfor the Construction and Classification of Textile Glass Reinforced Polyester Vessels.

10.

10. Daniel, I. M. and Ishai, O. 1994. Engineering Mechanics of Composite Materials, Oxford University Press.

11.

11. NISA Users Manual. 1993. Engineering Mechanics Research Corporation, Troy, Michigan.

12.

12. Corr, R. B. and Jennings, A. 1976. "A Simultaneous Iteration Algorithm for Symmetric Eigenvalue Problem," International Journal of Numerical Methods in Engineering, 10:674-663.

13.

13. ASTM Standard: D638M-93. 1993. "Standard Test Method for Tensile Properties of Plastics."

14.

14. ASTM Standard: D3518M-91. 1991. "In-Plane Shear Stress-Strain Response of Unidirectional Polymer Matrix Composites."

15.

15. Instron Universal Testing Instruments , Model 4202, Operating Instructions. 1983. Instron Corporation.

16.

16. Instruction Manual . 1983. Model P-3500 Strain Indicator, Measurement Group, Inc.

17.

17. Jones, R. M. 1975. Mechanics of Composite Materials, McGraw-Hill, New York.