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TECHNICAL PAPERS

Free Vibration Analysis of Composite Plates

[+] Author and Article Information
Payman Afshari

Quantum Consultants, Inc., East Lansing, MI 48823

G. E. O. Widera

Center for Industrial Processes and Productivity, Marquette University, P.O. Box 1881, Milwaukee, WI 53201-1881

J. Pressure Vessel Technol 122(3), 390-398 (Apr 19, 2000) (9 pages) doi:10.1115/1.556198 History: Received February 01, 2000; Revised April 19, 2000
Copyright © 2000 by ASME
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References

Vinson, J. R., and Chou, T. W., 1975, Composite Materials and Their Use in Structures, Wiley, New York, NY.
Bert, C. W., 1975, “Analysis of Plates, Composite Materials,” Vol. 7, Structural Design and Analysis, Part I, Chamis, C.C., ed., Academic Press, New York, NY, pp. 149–206.
Lekhntiski, S., 1957, Anisotropic Plates, First Edition, transl. from Russian by American Iron and Steel Institute; 1968, Second Edition, transl. by S. W. Tsai and T. Cheron, Gordon and Breach, New York, NY.
Waddoups, M., 1965, “The Vibration Response of Laminated Orthotropic Plates,” M.S. thesis, Department of Mechanical Engineering, Brigham Young University, Salt Lake City, UT.
Mayberry, B., 1968, “Vibration of Layered Anisotropic Panels,” M.S. thesis, School of Engineering, University of Oklahoma, Norman, OK.
Kaczkowski,  Z., 1960, “The Influence of Shear and Rotary Inertia on the Frequencies of an Anisotropic Vibrating Plate,” Bull. Acad. Pol. Sci., Ser. Sci. Tech., 8, pp. 343–350.
Ambartsumyan, S., 1967, Anisotropic Plates, Nauka, Moscow, Russia.
Noor,  A. K., and Burton,  W. S., 1990, “Three-Dimensional Solutions for Anti-Symmetrically Laminated Anisotropic Plates,” ASME J. Appl. Mech., 57, pp. 182–188.
Noor,  A. K., and Burton,  W. S., 1989, “Assessment of Shear Deformation Theories for Multilayer Composite Plates,” Appl. Mech. Rev., 42, pp. 1–13.
Reddy, J. N., and Miravete, A., 1995, Practical Analysis of Composite Laminates, CRC Press, Inc., Boca Raton, FL.
Afshari, P., 1992, “Finite Element Analysis of Laminated Composite Plates Using the Modified Complementary Energy Principle,” Ph.D. thesis, Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL.
Afshari,  P., and Widera,  G. E. O., 1994, “Stress and Displacement Analysis of Composite Plates,” J. Thermoplastic Composites,7, pp. 375–388.
Spilker, R. L., 1986, “Hybrid Stress Formulation for Multi-layered Isoparametric Plate Elements,” Finite Elements Methods for Plate and Shell Structures, Vol. 1, Element Technology, Pineridge Press Ltd., Swansea, UK.
Spilker,  R. L., 1982, “Hybrid-Stress Eight-Node Elements for Thin and Thick Multi-layer Laminated Plates,” Int. J. Numer. Methods Eng., 18, pp. 801–882.
Spilker,  R. L., Chou,  S. C., and Orringer,  O., 1977, “Alternate Hybrid-Stress Elements for Analysis of Multi-layered Composite Plates,” J. Composite Plates, 11, pp. 51–70.
Cook, R. D., 1981, Concepts and Applications of Finite Element Analysis, Wiley, 2nd Edition, New York, NY.
Kant,  T., and Mallikarjuna  , 1989, “Vibration of Unsymmetrical Laminated Plates Analyzed by Using a Higher Theory with a C deg Finite Element Formulation,” J. Sound Vib., 134, pp. 1–16.
Hinton,  E., Rock,  T., and Zienkiewicz,  O. C., 1976, “A Note on Mass Lumping and Related Processes in the Finite Element Method,” EEStDy, 4, pp. 245–249.
Reddy,  J. N., and Phan,  N. D., 1985, “Stability and Vibration of Isotropic and Laminated Plates According to a Higher Shear Deformation Theory,” J. Sound Vib., 98, pp. 157–170.
Putcha,  N. S., and Reddy,  J. N., 1986, “Stability and Vibration Analysis of Laminated Plates Using a Mixed Element Based on a Refined Plate Theory,” J. Sound Vib., 104, pp. 285–300.
Noor,  A. K., 1973, “Free Vibration of Multi-layered Composite Plates,” AIAA J., 11, pp. 1038–1039.

Figures

Grahic Jump Location
Layer geometry and numbering for the moderately thick and thin multilayered plate element
Grahic Jump Location
The geometry of deformation in the X-Z plane
Grahic Jump Location
Simply supported two-layer antisymmetric cross-ply square composite plate with a/h=5
Grahic Jump Location
Simply supported ten-layer antisymmetric cross-ply square composite plate with a/h=5
Grahic Jump Location
Simply supported two-layer antisymmetric cross-ply square composite plate with a/h=5
Grahic Jump Location
Simply supported four-layer antisymmetric cross-ply square composite plate with a/h=5
Grahic Jump Location
Simply supported ten-layer antisymmetric cross-ply square composite plate with a/h=5
Grahic Jump Location
Ten-layer, simply supported angle-ply laminated composite plate (angle=45 deg)
Grahic Jump Location
Ten-layer, simply supported angle-ply laminated composite plate (angle=45 deg)

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