Document Type : Research Paper
Author
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
10.22068/jstc.2019.90487.1459
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 (RST) 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. The solution is particularly used for the quantitative sensitivity analysis of excited resonance frequencies of an air-filled and water submerged Graphite/Epoxy cylindrical shell to the perturbation in the material’s elastic constants.
Keywords
- Acoustic Non-destructive evaluation
- Material Characterization
- Fiber-Reinforced Composite material
- Surface waves
- Sensitivity analysis
Main Subjects
[1] Talmant, M., Batard, H., Material Characterization and Resonant Scattering by Cylinders, Proceeding of IEEE Ultrasonic Symposium, Vol. 3, pp. 1371-1380, 1994.
[2] Migliori, A., Sarrao, J.L., “Resonant Ultrasound Spectroscopy: Applications to Physics”, Materials Measurements and Nondestructive Evaluation, Wiley, New York, 1997.
[3] Kim, J.Y., Ih, J.G., “Scattering of Plane Acoustic Waves by a Transversely Isotropic Cylindrical Shell- Application to Material Characterization”, Journal of Applied Acoustic, Vol. 64, pp. 1187-1204, 2003.
[4] Hasheminejad, S.M., Rajabi, M., “Acoustic Scattering characteristics of thick-walled orthotropic cylindrical Shell at Oblique incidence’, Ultrasonics, Vol. 47, pp. 32-48, 2007.
[5] Honarvar, F., Sinclair, A.N., “Nondestructive Evaluation of Cylindrical Components by Resonance Acoustic Spectroscopy”, Ultrasonics, Vol. 36, pp. 845-854, 1998.
[6] Rajabi, M., Hasheminejad, S.M., “Acoustic Resonance Scattering from a Laminated Orthotropic Cylindrical Shell with Imperfect bonding”, Ultrasonics, Vol. 49, pp. 682-695, 2009.
[7] Kleshchev, A.A., “Resonance Scattering of Sound by Spheroidal Elastic Bodies and Sshells”, Acoustical Physics, Vol. 60, pp. 279-287, 2014.
[8] Tesei, A., Fox, W.L.J., Maguer, A., Lovik, A., “Target Parameter Estimation Using Resonance Sscattering Analysis Applied to Air-Filled, Cylindrical Shells in Water”, Journal of Acoustical Society of America, Vol. 108, pp. 2891-2910, 2000.
[9] Guicking, D., Goerk, K., Peine, H., “Recent Advances in Sonar Target Classification”, Proceedings of SPIE – International Society of Optic Engineering, Vol. 1700, pp. 2-15, 1992.
[10] Flax, L., Dragonette, L.R., Uberall, H., “Theory of Elastic Resonance Excitation by Sound Scattering Journal of Acoustical Society of America, Vol. 63, pp. 723-731, 1978.
[11] Murphy, J.D., Breitenbach, E.D., Uberall, H., “Resonance Scattering of Acoustic Waves from Cylindrical Sshells”, Journal of Acoustical Society of America, Vol. 64, pp. 677-683, 1978.
[12] Flax, L., Gaunaurd, G.C., Uberall, H., “Theory of Resonance Scattering”, in: Physical Acoustics, Academic, New York, 15, pp. 191-294, Chapter 3, 1981.
[13] Gaunaurd, G.C., “Elastic and Acoustic Resonance Wave Scattering”, Applied Mechanics Review, Vol. 42, pp. 143-192, 1989.
[14] Uberall, H., “Acoustic Resonance Scattering”, Gordon and Breach Science, Philadelphia, 1992.
[15] Veksler, N.D., “Resonance Acoustic Spectroscopy”, Springer Series on Wave Phenomena, Springer-Verlag, Berlin, 1993.
[16] Faran, J.J., “Sound Scattering by Solid Cylinders and Spheres”, Journal of Acoustical Society of America, Vol. 23, pp. 405-418, 1951.
[17] Honarvar, F., Sinclair, A.N., “Acoustic Wave Scattering from Transversely Isotropic Cylinders”, Journal of Acoustical Society of America, Vol. 100, pp. 57-63, 1996.
[18] Kaduchak, G., Loeffler, C.M., “Backscattering of Obliquely Incident Plane Waves by a Composite Cylindrical Shell Constructed of Isotropic and Transversely Iisotropic Layers”, Journal of Acoustical Society of America, Vol. 99, pp. 2545-2574, 1996.
[19] Ahmad, F., Rahman, A., “Acoustic Scattering by Transversely Isotropic Cylinders”, International Journal of Engineering Science, Vol. 38, pp. 325-335, 2000.
[20] Hasheminejad, S.M., Rajabi, M., “Acoustic Scattering Characteristics of Thick-Walled Orthotropic Cylindrical Shell at Oblique Incidence”, Ultrasonics, Vol. 47, pp. 32-48, 2007.
[21] Rajabi, M., Hasheminejad, S.M., “Acoustic Resonance Scattering from a Multilayered Cylindrical Shell with Imperfect Bonding”, Ultrasonics, Vol. 7, pp. 143-158, 2009.
[22] Leiderman, R., Castello, D.A., “Detecting and Classifying Interfacial Defects by Inverse Ultrasound Scattering Analysis”, Wave Motion, Vol. 65, pp. 119-129, 2016.
[23] Leiderman, R., Braga, A.M.B., “Scattering of Guided Waves by defective adhesive bonds in multilayer anisotropic plates”, Wave Motion, Vol. 74, pp. 93-104, 2017.
[24] Agounad, S., Aassif, E.H., Khandouch, Y., Maze, G., Décultot, D., “Characterization and Prediction of the Backscattered form Function of an Immersed Cylindrical Shell using Hybrid Fuzzy Clustering and Bio-Inspired Algorithms”, Ultrasonics, Vol. 83, pp. 222-235, 2018.
[25] Agounad, S., Aassif, E.H., Khandouch, Y., Décultot, D., Maze, G., Elhanaoui, A., “Acoustic Scattering from Immersed Composite Cylindrical Shells: Existence of zero group velocity circumferential waves”, Composite Structures, Vol. 182, pp. 12-24, 2017.
[26] Agounad, S., Aassif, E.H., Khandouch, Y., Maze, G., Décultot, D., “Investigation into the Bistatic Evolution of the Acoustic Scattering from a Cylindrical Shell using Time-Frequency Analysis”, Journal of Sound and Vibration, Vol. 412, pp. 148-165, 2018.
[27] Agounad, S., Aassif, E.H., Khandouch, Y., Décultot, D., Maze, G., “Scattering of an Acoustic Wave by Composite Cylindrical Shells: Influence of Inner and Outer Layer Thicknesses on the Circumferential Waves”, Composite Structures, Vol. 187, pp. 439-453, 2018.
[28] Daneshjou, K., Talebitooti, R., Tarkashvand, A., “Investigating on Sound Transmission Throough Thick-Walled Cylindrical Shells using 3D-Theory of Elasticity in the Presence of External and Mean Air-Gap Flow”, Journal of Vibration and Control, Vol. 24, pp. 975-1000, 2018.
[29] Talebitooti, R., Zarastvand, M.R., Gohari, H.D., “The Influence of Boundaries on Sound Insulation of the Multilayered Aerospace Poroelastic Composite Structure”, Vol. 80, pp. 452-471, 2018.
[30] Talebitooti, R., Khamenh, M.C., Ahmadi , R., “Three Dimensional Analysis Through Thick Laminated Composite Cylindrical Composite Cylindrical Shells”, Journal of Science and Technology of Composites, Vol. 4, pp. 53-66, 2017.
[31] Pierce, A.D., “Acoustics: An Introduction to its Physical Principles and Applications”, Am. Inst. Phys. New York, 1991.
[32] Achenbach, J.D., “Wave Propagation in Elastic Solids”, North-Holland, New York, 1976.
[33] Rajabi, M., “Acoustic scattering from Submerged Laminated Composite Cylindrical Shells”, Composite Structures, Vol. 128, pp. 3950405, 2015.
[34] Choi, M.S., Jo, Y.S., Lee, J.P., “The inherent Background in Acoustic Wave Scattering by a Submerged Target”, Journal of Acoustical Society of America, Vol. 99, pp. 2594-2603, 1996.
[35] Rajabi,. M., “Wave Propagation Characteristics of Helically Orthotropic Cylindrical Shells and Resonance Scattered Acoustic Field. Part 1. Formulation”, Acoustical Physics, Vol. 62, pp. 292-299, 2016.
[36] Rajabi,. M., “Wave Propagation Characteristics of Helically Orthotropic Cylindrical Shells and Resonance Scattered Acoustic Field. Part 1. Numerical Results”, Acoustical Physics, Vol. 62, pp. 523-531, 2016.
[37] Kollar, L.P., “Mechanics of Composite Structures”, Cambridge University Press, 2003.
[38] Soldatos, K.P., Ye, J., “Wave Propagation in Anisotropic Laminated Hollow Cylinders of Infinite Extent”, Journal of Acoustical Society of America, Vol. 96, pp. 3744-3752, 1994.
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