Abstract
The properties of normal waves in complex multi-component waveguides have been studied by many researchers. The interest in this subject stems from several factors, the most important possibly being the need to obtain data for the development of various instruments to diagnose equipment on the basis of measured wave characteristics. All of the objects that can be regarded as waveguides fall into one of two groups. The first includes waveguides with a finite cross sectional area in the direction perpendicular to the direction of wave propagation. This group includes different types of cylinders and laminated waveguides and has been extensively studied. We should note Thurston's survey [11], in addition to the classic monographs [1, 10]. The special case of a cylinder with a liquid was examined in [3, 4, 5]. The second class of waveguide structures is characterized by the fact that the cross section of the waveguide is infinite. Examples include infinite periodic structures [7, 8, 9] and systems such as that formed by an elastic cylinder in a compressible fluid. It is the latter type of waveguide that will be studied here.
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References
L. M. Brekhovskii, Waves in Laminated Media, Nauka, Moscow (1973).
V. T. Grinchenko and V. V. Meleshko, Harmonic Vibrations and Waves in Elastic Bodies [in Russian], Nauk. Dumka, Kiev (1981).
V. T. Grinchenko and G. L. Komissarova, "Wave propagation in a hollow elastic cylinder with a fluid," Prikl. Mekh.,20, No. 1, 21–26 (1984).
V. T. Grinchenko and G. L. Komissarova, "Properties of normal nonaxisymmetric waves in a thick-walled cylinder filled with a liquid," ibid.,24, No. 10, 15–20 (1988).
G. L. Komissarova, "Solution of the problem of the propagation of elastic waves in a cylinder with a liquid," ibid.,26, No. 8, 25–29 (1990).
O. P. Chervinko and I. K. Senchenkov, "Harmonic viscoelastic waves in a layer and an infinite cylinder," ibid.,22, No. 12, 31–37 (1986).
N. A. Shul'ga, Principles of the Mechanics of Laminated Media with a Periodic Structure, Nauk. Dumka, Kiev (1981).
T. J. Delph, G. Herrman, and R. K. Kaul, "Harmonic waves propagation in a periodically layered, infinite elastic body: plane strain, analytical results," J. Appl. Mech.,46, No. 1, 113–119 (1979).
T. J. Delph, G. Herrman, and R. K. Kaul, "Harmonic waves propagation in a periodically layered, infinite elastic body: plane strain, numerical results," J. Appl. Mech.,47, No. 3, 531–537 (1980).
W. E. Ewing, W. S. Jardezky, and F. Press, Elastic Waves in Layered Media, McGraw Hill, New York (1957).
R. N. Thurston, "Elastic waves in rods and clad rods," J. Acoust. Soc. Am.,64, No. 1, 1–37 (1978).
Additional information
Institute of Hydromechanics, Ukrainian Academy of Sciences, Kiev. S. P. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 2, pp. 11–16, February, 1994.
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Grinchenko, V.T., Komissarova, G.L. Dispersion characteristics of normal waves in a system composed of an elastic cylinder and a surrounding fluid. Int Appl Mech 30, 91–95 (1994). https://doi.org/10.1007/BF00848505
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DOI: https://doi.org/10.1007/BF00848505