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TECHNICAL PAPERS

Combinations for the Free-Vibration Behaviors of Anisotropic Rectangular Plates Under General Edge Conditions

[+] Author and Article Information
Y. Narita

Department of Mechanical Engineering, Hokkaido Institute of Technology, 7-15 Maeda, Teine, Sapporo 006-8585, Japan e-mail: narita@hit.ac.jp

J. Appl. Mech 67(3), 568-573 (Dec 02, 1999) (6 pages) doi:10.1115/1.1311959 History: Received June 24, 1999; Revised December 02, 1999
Copyright © 2000 by ASME
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References

Leissa, A. W., 1969, “Vibration of Plates,” NASA-160, U.S. Government Printing Office, Washington, D.C.
Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York.
Gorman, D. J., 1982, Free Vibration Analysis of Rectangular Plates, Elsevier, New York.
Sekiya, S., Hamada, M., and Sumi, S., 1982, Handbook for Strength and Design for Plate Structures, Asakura Publishing Co., Tokyo (in Japanese).
Liu, C. L., 1968, Introduction of Combinatorial Mathematics, McGraw-Hill, New York, pp. 126–166.
Dornhoff, L. L., and Hohn, F. E., 1978, Applied Modern Algebra, Macmillan, New York, pp. 242–255.
Leissa,  A. W., 1973, “The Free Vibration of Rectangular Plates,” J. Sound Vib., 31, pp. 257–293.
Slomson, A., An Introduction to Combinatorics, Chapman and Hall, London, pp. 109–112.
Cohen, H., 1992, Mathematics for Scientists and Engineers, Prentice-Hall, Englewood Cliffs, NJ, pp. 515–521.
Jones, R. M., 1975, Mechanics of Composite Materials, Scripta, Washington D.C.
Vinson, J. R., and Sierakowski, R. L., 1986, The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff, Dordrecht.
Narita,  Y., Ohta,  Y., Yamada,  G., and Kobayashi,  Y., 1992, “Analytical Method for Vibration of Angle-Ply Cylindrical Shells Having Arbitrary Edges,” Am. Inst. Aeronaut. Astronaut. J., 30, pp. 790–796.
Narita, Y., 1995, “Series and Ritz-Type Buckling Analysis,” Buckling and Postbuckling of Composite Plates, edited by G. J. Turvey and I. H. Marshall, eds., Chapman and Hall, London, pp. 33–57.
Gorman,  D. J., 1976, “Free Vibration Analysis of Cantilever Plates by the Method of Superposition,” J. Sound Vib., 49, pp. 453–467.
Gorman,  D. J., 1977, “Free-Vibration Analysis of Rectangular Plates With Clamped-Simply Supported Edge Conditions by the Method of Superposition,” ASME J. Appl. Mech., 44, pp. 743–749.
Gorman,  D. J., 1978, “Free Vibration Analysis of the Completely Free Rectangular Plate by the Method of Superposition,” J. Sound Vib., 57, pp. 437–447.

Figures

Grahic Jump Location
Class and nonclass of plates with boundary conditions
Grahic Jump Location
Numerical examples (solid lines indicate the major principal material axis)
Grahic Jump Location
Rectangular plate and coordinate system

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