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TECHNICAL PAPERS

Free Vibration Analysis of Angle-ply Laminated Shallow Cylindrical Shell with Clamped Edges

[+] Author and Article Information
Kenji Hosokawa, Minehiro Murayama, Toshiyuki Sakata

Department of Mechanical Engineering, Chubu University, 1200 Matsumotocho, Kasugai, Aichi, 487-8501, Japan

J. Vib. Acoust 123(2), 188-197 (Aug 01, 2000) (10 pages) doi:10.1115/1.1349888 History: Received September 01, 1999; Revised August 01, 2000
Copyright © 2001 by ASME
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References

Rath,  B. K., and Das,  Y. C., 1973, “Vibrations of Layered Shells,” J. Sound Vib., 28, No. 4, pp. 737–757.
Qatu,  M. S., and Leissa,  A. W., 1991, “Natural Frequencies for Cantilevered Doubly-Curved Laminated Composite Shallow Shells,” Compos. Struct., 17, pp. 227–255.
Qatu,  M. S., and Leissa,  A. W., 1991, “Free Vibrations of Completely Free Doubly Curved Laminated Composite Shallow Shells,” J. Sound Vib., 151, No. 1, pp. 9–29.
Qatu,  M. S., 1992, “Mode Shape Analysis of Angle-Ply-Laminated Composite Shallow Shells,” J. Acoust. Soc. Am., 92, No. 3, pp. 1509–1520.
Khdeir,  A. A., and Reddy,  J. N., 1990, “Influence of Edge Conditions on the Modal Characteristics of Cross-ply Laminated Shells,” Comput. Struct., 34, No. 6, pp. 817–826.
Crawley,  E. F., 1979, “The Natural Modes of Graphite/Epoxy Cantilever Plates and Shells,” J. Compos. Mater., 13, pp. 195–205.
Hosokawa,  K., Yada,  T., and Sakata,  T., 1993, “Free Vibrations of Symmetrically Laminated Composite Plates,” JSME Int. J., Ser. C, 36, No. 3, pp. 296–300.
Hosokawa,  K., Terada,  Y., and Sakata,  T., 1996, “Free Vibrations of Clamped Symmetrically Laminated Skew Plates,” J. Sound Vib., 189, No. 4, pp. 525–533.
Vinson, J. R., and Sierakowski, R. L., 1986, The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff, Dordrecht, Holland, p. 54.
Vinson, J. R., and Sierakowski, R. L., 1986, The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff Pub, Dordrecht, Holland, p. 323.
Reissner,  E., 1946, “Stresses and Small Displacements of Shallow Spherical Shells,” J. Math. Phys., 25, pp. 80–85 and 25, pp. 279–300.
Kraus, H., 1967, Thin Elastic Shells, Wiley, New York, pp. 229–230.

Figures

Grahic Jump Location
Symmetrically laminated shallow cylindrical shell having rectangular planform (a) middle surface, (b) dividing pattern
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.0 (flat plate), a/h=100,N=225,I=55, E-glass/epoxy  
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.2,a/h=100,N=225,I=55, E-glass/epoxy
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.4,a/h=100,N=225,I=55, E-glass/ epoxy
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.0 (flat plate), a/h=100,N=225,I=55, graphite/epoxy  
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.2,a/h=100,N=225,I=55, graphite/epoxy  
Grahic Jump Location
Natural radian frequencies and nodal patterns of clamped four layered [θ/−θ/−θ/θ] shallow cylindrical shell having square planform; b/R=0.4,a/h=100,N=225,I=55, graphite/epoxy  
Grahic Jump Location
Clamped symmetrically laminated shallow cylindrical shell having square planform
Grahic Jump Location
Nodal patterns and natural frequencies of clamped symmetrically laminated shallow cylindrical shell having square planform; narrow line is experimental nodal line, heavy line is numerical nodal line, [30°2/−30°2/−30°2/30°2], grapite/epoxy

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