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TECHNICAL PAPERS

Axial Wave Propagation in Infinitely Long Periodic Curved Panels

[+] Author and Article Information
C. Pany, S. Parthan

Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur-721302, WB, India

J. Vib. Acoust 125(1), 24-30 (Jan 06, 2003) (7 pages) doi:10.1115/1.1526510 History: Received November 01, 2001; Revised September 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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References

Mead,  D. J., 1970, “Free Wave Propagation in Infinite Periodic Beams,” J. Sound Vib., 11, pp. 181–197.
Senagupta,  G., 1970, “Natural Flexural Waves and Normal Modes of Periodically Supported Beams and Plates,” J. Sound Vib., 13, pp. 89–101.
Mead,  D. J., and Parthan,  S., 1979, “Free Wave Propagation in Two-Dimensional Periodic Plate,” J. Sound Vib., 64, pp. 325–348.
Mead,  D. J., and Bardell,  N. S., 1986, “Free Vibration of a Thin Cylindrical Shells with Discrete Axial Stiffeners,” J. Sound Vib., 111 (2), pp. 229–250.
Bardell,  N. S., and Mead,  D. J., 1989, “Free Vibration of an Orthogonally Stiffened Cylindrical Shell, Part 1: Discrete Line Simple Supports,” J. Sound Vib., 134 (1), pp. 29–54.
Pany,  C., Mukherjee,  S., and Parthan,  S., 1999, “Study of Circumferential Wave Propagation in an Un-Stiffened Circular Cylindrical Shell Using Periodic Structure Theory,” Institution of Engineers (IEI), 80, p. 18.
Mead,  D. J. and Bardell,  N. S., 1987, “Free Vibration of a Thin Cylindrical Shell with Periodic Circumferential Stiffeners,” J. Sound Vib., 115, pp. 495–520.
Cowper,  G. R., Lindberg,  G. M., and Olson,  M. D., 1970, “A Shallow Shell Finite Element of Triangular Shape,” Int. J. Solids Struct., 6, 1133–1156.
Sinha,  G. and Mukhopadhyay,  M., 1994, “Finite Element Free Vibration Analysis of Stiffened Shells,” J. Sound Vib., 171 (4), pp. 529–548.
Mead,  D. J., 1973, “A General Theory of Harmonic Wave Propagation in Linear Periodic System with Multiple Coupling,” J. Sound Vib., 27, pp. 235–260.
Orris,  R. M., and Petyt,  M., 1974, “A Finite Element Study of Harmonic Wave Propagation in Periodic Structures,” J. Sound Vib., 33, pp. 223–236.
Rahman, A. Y. A., and Petyt, M., 1980, “Free and Forced Wave Propagation in Two-Dimensional Periodic Systems Using Matrix Techniques,” Proceedings for Conference on Recent Advances in Structural Dynamics, Southampton, Vol. 1, pp. 361–373.
Warbutron, G. B., 1976, Dynamical Behavior of Structures, Second edition, Pergamon Press, Great Britain.
Mead,  D. J., 1996, “Wave Propagation in Continuous Periodic Structures: Research Contribution from Southampton,” J. Sound Vib., 3, pp. 495–524.

Figures

Grahic Jump Location
Phase-frequency curve for an infinitely long multi-supported curves panel (θp=π/22)
Grahic Jump Location
Phase-frequency curve for an infinitely long multi-supported curved panels (θp=π/18, optimum periodic angle)
Grahic Jump Location
Infinitely long periodic curved panel with periodic unit
Grahic Jump Location
Periodic unit showing generalized forces and displacements
Grahic Jump Location
Finite element model with (4×4) mesh for one curved panel (periodic unit) with triangular element and showing nodes corresponding to left (L), right (R) and intermediate nodes
Grahic Jump Location
Warburton curve for radial vibration for a circular cylindrical shell

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