Abstract
The method of wave function expansion is adopted to study the three dimensional scattering of a plane progressive harmonic acoustic wave incident upon an arbitrarily thick-walled helically filament-wound composite cylindrical shell submerged in and filled with compressible ideal fluids. An approximate laminate model in the context of the so-called state-space formulation is employed for the construction of T-matrix solution to solve for the unknown modal scattering coefficients. Considering the nonaxisymmetric wave propagation phenomenon in anisotropic cylindrical components and following the resonance scattering theory which determines the resonance and background scattering fields, the stimulated resonance frequencies of the shell are isolated and classified due to their fundamental mode of excitation, overtone and style of propagation along the cylindrical axis (i.e., clockwise or anticlockwise propagation around the shell) and are identified as the helically circumnavigating waves.
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References
M. Talmant and H. Batard, Proc. IEEE Ultrasonic Sym. 3, 1371 (1994).
A. Migliori and J. L. Sarrao, Resonant Ultrasound Spectroscopy: Applications to Physics, Materials Measurements and Nondestructive Evaluation (Wiley, New York, 1997).
J. Y. Kim and J. G. Ih, Appl. Acoust. 64, 1187 (2003).
S. M. Hasheminejad and M. Rajabi, Ultrasonics, 47, 32 (2007).
F. Honarvar and A. N. Sinclair, Ultrasonics 36, 845 (1998).
M. Rajabi and S. M. Hasheminejad, Ultrasonics, 49, 682 (2009).
A. A. Kleshchev, Acoust. Phys. 60, 279 (2014).
A. Tesei, W. L. J. Fox, A. Maguer, and A. Lovik, J. Acoust. Soc. Am. 108, 2891 (2000).
D. Guicking, K. Goerk, and H. Peine, Proc. of SPIE–Int. Soc. Optic. Eng. 1700, 2 (1992).
L. Flax, L. R. Dragonette, and H. Uberall, J. Acoust. Soc. Am. 63, 723 (1978).
J. D. Murphy, E. D. Breitenbach, and H. Uberall, J. Acoust. Soc. Am. 64, 678 (1978).
G. C. Gaunaurd, App. Mech. Rev. 42, 143 (1989).
H. Uberall, Acoustic Resonance Scattering (Gordon and Breach Sci., Philadelphia, 1992).
N. D. Veksler, Resonance Acoustic Spectroscopy. Springer Series on Wave Phenomena (Springer-Verlag, Berlin, 1993).
J. J. Faran, J. Acoust. Soc. Am. 23, 405 1951).
L. Flax, G. C. Gaunaurd, and H. Uberall, in Physical Acoustics, Ed. by W. P. Mason and R. N. Thurston (New York, 1981), Vol. 15, Chap. 3, pp. 191–294.
F. Honarvar and A. N. Sinclair, J. Acoust. Soc. Am. 100, 57 (1996).
G. Kaduchak and C. M. Loeffler, J. Acoust. Soc. Am. 99, 2545 (1996).
F. Ahmad and A. Rahman, Int. J. Eng. Sci. 38, 325 (2000).
A. A. Kleshchev, Open J. Acoust. 3, 67 (2013).
A. A. Kleshchev, Adv. Signal Proc. 1, 44 (2013).
N. B. Karabutov, and I. O. Belyaev, Acoust. Phys. 59, 667 (2013).
N. V. Polikarpova, P. V. Mal’neva, and V. B. Voloshinov, Acoust. Phys. 59, 291 (2013).
A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications (Am. Inst. Phys., New York, 1991).
J. D. Achenbach, Wave Propagation in Elastic Solids (North-Holland, New York, 1976).
S. G. Lekhnitsky, The Theory of Elasticity of an Anisotropic Body (Mir, Moscow, 1981), [in Russian], 2nd ed.
E. L. Shenderov, Emission and Scattering of Sound (Sudostroenie, Leningrad, 1989) [in?Russian].
M. S. Choi, Y. S. Joo, and J. Lee, J. Acoust. Soc. Am. 99, 2594 (1996).
M. S. Choi, J. Korean Phys. Soc. 37, 519 (2000).
M. Rajabi and M. Behzad, Composite Struct. 116, 747 (2014).
M. Rajabi, M. T. Ahmadian, and J. Jamali, Composite Struct. 128, 395 (2015).
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Rajabi, M. Wave propagation characteristics of helically orthotropic cylindrical shells and resonance emergence in scattered acoustic field. Part 1. Formulations. Acoust. Phys. 62, 292–299 (2016). https://doi.org/10.1134/S1063771016030143
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DOI: https://doi.org/10.1134/S1063771016030143