Cancelation of acoustic scattering from a smart hybrid ERF/PZT-based double‐wall composite spherical shell structure

References

• M. C. Junger, Sound scattering by thin elastic shells, J. Acoust. Soc. Am., vol. 24, no. 4, pp. 366–373, 1952. DOI: 10.1121/1.1906905.
   Google Scholar
• B. Aronov, D. A. Brown, C. L. Bachand, and X. Yan, Analysis of unidirectional broadband piezoelectric spherical shell transducers for underwater acoustics, J. Acoust. Soc. Am., vol. 131, no. 3, pp. 2079–2090, 2012. DOI: 10.1121/1.3675961.
   PubMed Web of Science ®Google Scholar
• D. Teng, H. Yang, and G. Zhu, Design and test about high sensitivity thin shell piezoelectric hollow sphere hydrophone. In: Ocean. 2017-Anchorage, IEEE, Anchorage, AK, USA, 2017, pp. 1–6.
   Google Scholar
• S. Sadeghpour, S. Meyers, J.-P. Kruth, J. Vleugels, M. Kraft, and R. Puers, Resonating shell: A spherical-omnidirectional ultrasound transducer for underwater sensor networks, Sensors., vol. 19, no. 4, pp. 757, 2019. DOI: 10.3390/s19040757.
   PubMed Web of Science ®Google Scholar
• G. S. Sammelmann, and R. H. Hackman, The acoustic scattering by a submerged, spherical shell. II: The high-frequency region and the thickness quasiresonance, J. Acoust. Soc. Am., vol. 89, no. 5, pp. 2096–2103, 1991. DOI: 10.1121/1.400902.
   Web of Science ®Google Scholar
• H. Überall, A. C. Ahyi, P. K. Raju, I. K. Bjørnø, and L. Bjørnø, Circumferential-wave phase velocities for empty, fluid-immersed spherical metal shells, J. Acoust. Soc. Am., vol. 112, no. 6, pp. 2713–2720, 2002. DOI: 10.1121/1.1512290.
   PubMed Web of Science ®Google Scholar
• E. J. Avital, N. D. Bholah, G. C. Giovanelli, and T. Miloh, Sound scattering by an elastic spherical shell and its cancellation using a multi-pole approach, Arch. Acoust., vol. 42, no. 4, pp. 697–705, 2017. DOI: 10.1515/aoa-2017-0072.
   Google Scholar
• Y. Li, G. Li, B. Zhao, and J. Liu, Influence of double hull structure on the effects of underwater explosion, Chuanbo Lixue, J. Sh. Mech., vol. 10, pp. 127–134, 2006.
   Google Scholar
• W. Huabing, P. Zilong, W. Kangle, and C. Rong, Research on the acoustic and vibration characteristics of underwater double-shell model based on hybrid FE-SEA method, Chinese J. Appl. Mech., vol. 23, pp. 5–14, 2014.
   Google Scholar
• Y. Li, M. Wang, and W. Li, Sound scattering of double concentric elastic spherical shell with multilayered medium cloak. In: 2017 IEEE Underw, Technol., IEEE., Busan, Korea (South), pp. 1–6, 2017.
   Google Scholar
• H. Huang, Transient response of two fluid-coupled spherical elastic shells to an incident pressure pulse, J. Acoust. Soc. Am., vol. 65, no. 4, pp. 881–887, 1979. DOI: 10.1121/1.382590.
   Web of Science ®Google Scholar
• W. Tang, and J. Fan, Echoes from double elastic spherical shell in water, Acta Acustica-Peking., vol. 24, pp. 174–182, 1999.
   Google Scholar
• M.-S. Zou, S.-X. Liu, L.-W. Jiang, and H. Huang, A mixed analytical-numerical method for the acoustic radiation of a spherical double shell in the ocean-acoustic environment, Ocean Eng., vol. 199, pp. 107040, 2020. DOI: 10.1016/j.oceaneng.2020.107040.
   Web of Science ®Google Scholar
• J. Liu, H. Guo, and T. Wang, A review of acoustic metamaterials and phononic crystals, Crystals., vol. 10, no. 4, pp. 305, 2020. DOI: 10.3390/cryst10040305.
   Web of Science ®Google Scholar
• X. Nie, Y. Chen, and X. Liu, Scattering analysis and optimization of spherical acoustic cloak with unideal pentamode material, Acta Mech. Solida Sin., vol. 33, no. 3, pp. 347–360, 2020. DOI: 10.1007/s10338-019-00139-x.
   Web of Science ®Google Scholar
• R. C. McPhedran, and G. W. Milton, A review of anomalous resonance, its associated cloaking, and superlensing, Comptes Rendus. Phys., vol. 21, no. 4–5, pp. 409–423, 2020. DOI: 10.5802/crphys.6.
   Web of Science ®Google Scholar
• M. D. Guild, A. Alu, and M. R. Haberman, Cancellation of acoustic scattering from an elastic sphere, J. Acoust. Soc. Am., vol. 129, no. 3, pp. 1355–1365, 2011. DOI: 10.1121/1.3552876.
   PubMed Web of Science ®Google Scholar
• D. Eggler, M. Karimi, and N. Kessissoglou, Active acoustic cloaking in a convected flow field, J. Acoust. Soc. Am., vol. 146, no. 1, pp. 586–594, 2019. DOI: 10.1121/1.5119225.
   PubMed Web of Science ®Google Scholar
• D. Eggler, H. Chung, F. Montiel, J. Pan, and N. Kessissoglou, Active noise cloaking of 2D cylindrical shells, Wave Motion., vol. 87, pp. 106–122, 2019. DOI: 10.1016/j.wavemoti.2018.08.006.
   Web of Science ®Google Scholar
• M. Ramadan, W. Akl, T. Elnady, and A. Elsabbagh, Finite-element modeling of an acoustic cloak for three-dimensional flexible shells with structural excitation, Appl. Phys. A., vol. 103, no. 3, pp. 641–644, 2011. DOI: 10.1007/s00339-011-6247-x.
   Web of Science ®Google Scholar
• M. D. Guild, M. R. Haberman, and A. Alù, Plasmonic-type acoustic cloak made of a bilaminate shell, Phys. Rev. B., vol. 86, no. 10, pp. 104302, 2012. DOI: 10.1103/PhysRevB.86.104302.
   Web of Science ®Google Scholar
• M. D. Guild, A. Alù, and M. R. Haberman, Cloaking of an acoustic sensor using scattering cancellation, Appl. Phys. Lett., vol. 105, no. 2, pp. 023510, 2014. DOI: 10.1063/1.4890614.
   Web of Science ®Google Scholar
• C. L. Scandrett, and A. M. Vieira, Fluid-structure effects of cloaking a submerged spherical shell, J. Acoust. Soc. Am., vol. 134, no. 3, pp. 1908–1919, 2013. DOI: 10.1121/1.4816492.
   PubMed Web of Science ®Google Scholar
• E. J. Avital, and T. Miloh, Sound scattering and its cancellation by an elastic spherical shell in free space and near a free surface, Wave Motion., vol. 55, pp. 35–47, 2015. DOI: 10.1016/j.wavemoti.2014.12.009.
   Web of Science ®Google Scholar
• M. Rajabi, and A. Mojahed, Active acoustic cloaking spherical shells, Acta Acust. United with Acust., vol. 104, no. 1, pp. 5–12, 2018. DOI: 10.3813/AAA.919140.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and N. Safari, Dynamic viscoelastic effects on sound wave diffraction by spherical and cylindrical shells submerged in and filled with viscous compressible fluids, Shock Vib., vol. 10, no. 5–6, pp. 339–363, 2003. DOI: 10.1155/2003/434612.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and S. Mehdizadeh, Acoustic performance of a multi-layer close-fitting hemispherical enclosure, Noise Control Eng. J., vol. 54, no. 2, pp. 86, 2006. DOI: 10.3397/1.2888385.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and S. Kazemirad, Dynamic viscoelastic effects on sound wave scattering by an eccentric compound circular cylinder, J. Sound Vib., vol. 318, no. 3, pp. 506–526, 2008. DOI: 10.1016/j.jsv.2008.04.022.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and S. Kazemirad, Scattering and absorption of sound by a compound cylindrical porous absorber with an eccentric core, Acta Acust. United with Acust., vol. 94, no. 1, pp. 79–90, 2008. DOI: 10.3813/AAA.918011.
   Web of Science ®Google Scholar
• G. Song, V. Sethi, and H.-N. Li, Vibration control of civil structures using piezoceramic smart materials: A review, Eng. Struct., vol. 28, no. 11, pp. 1513–1524, 2006. DOI: 10.1016/j.engstruct.2006.02.002.
   Web of Science ®Google Scholar
• S. Kumbhar, S. Maji, and B. Kumar, Automotive vibration and noise control using smart materials: a state of art and challenges, World J. Eng., vol. 11, no. 4, pp. 413–420, 2014. DOI: 10.1260/1708-5284.11.4.413.
   Google Scholar
• S.-B. Choi, and Y.-M. Han, Piezoelectric Actuators: control Applications of Smart Materials, CRC Press, Taylor & Francis Group, 2019.
   Google Scholar
• P. J. Titterton, Jr, Synthesis of optimal, single-frequency, passive control laws, with application to reducing the acoustic radiation from a submerged spherical shell, J. Acoust. Soc. Am., vol. 105, no. 4, pp. 2261–2268, 1999. DOI: 10.1121/1.426832.
   Web of Science ®Google Scholar
• C. E. Ruckman, and C. R. Fuller, Numerical simulation of active structural-acoustic control for a fluid-loaded, spherical shell, J. Acoust. Soc. Am., vol. 96, no. 5, pp. 2817–2825, 1994. DOI: 10.1121/1.411287.
   Web of Science ®Google Scholar
• C. Scandrett, Scattering and active acoustic control from a submerged spherical shell, J. Acoust. Soc. Am., vol. 111, no. 2, pp. 893–907, 2002. DOI: 10.1121/1.1428749.
   PubMed Web of Science ®Google Scholar
• S. M. Hasheminejad, S. M. Hosseinimaab, and M. Maleki, Acoustic scattering and active control from a near-surface underwater piezoelastic spherical shell transducer, IEEE J. Oceanic Eng., vol. 35, no. 2, pp. 438–447, 2010. DOI: 10.1109/JOE.2010.2041025.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and M. Gudarzi, Active sound radiation control of a submerged piezocomposite hollow sphere, J. Intell. Mater. Syst. Struct., vol. 26, no. 15, pp. 2073–2091, 2015. DOI: 10.1177/1045389X14549863.
   Web of Science ®Google Scholar
• K. Hiramoto, and K. M. Grigoriadis, Active/semi-active hybrid control for motion and vibration control of mechanical and structural systems, J. Vib. Control., vol. 22, no. 11, pp. 2704–2718, 2016. DOI: 10.1177/1077546314550700.
   Web of Science ®Google Scholar
• I. U. Khan, Vibration suppression in flexible structures using hybrid active and semi-active control, PhD diss, University of Sheffield., 2017.
   Google Scholar
• S. Chen, Y. Fan, Q. Fu, H. Wu, Y. Jin, J. Zheng, and F. Zhang, A review of tunable acoustic metamaterials, Appl. Sci., vol. 8, pp. 1480, 2018.
   Google Scholar
• Y. Zhang, K. Chen, X. Hao, and Y. Cheng, A review of underwater acoustic metamaterials, Chin. Sci. Bull., vol. 65, no. 15, pp. 1396–1410, 2020. DOI: 10.1360/TB-2019-0690.
   Google Scholar
• W. Zhu, C. Ding, and X. Zhao, A numerical method for designing acoustic cloak with homogeneous metamaterials, Appl. Phys. Lett., vol. 97, pp. 131902, 2010.
   Web of Science ®Google Scholar
• S. I. Kundalwal, R. S. Kumar, and M. C. Ray, Smart damping of laminated fuzzy fiber reinforced composite shells using 1–3 piezoelectric composites, Smart Mater. Struct., vol. 22, no. 10, pp. 105001, 2013. DOI: 10.1088/0964-1726/22/10/105001.
   Web of Science ®Google Scholar
• S. I. Kundalwal, and S. A. Meguid, Effect of carbon nanotube waviness on active damping of laminated hybrid composite shells, Acta Mech., vol. 226, no. 6, pp. 2035–2052, 2015. DOI: 10.1007/s00707-014-1297-8.
   Web of Science ®Google Scholar
• R. S. Kumar, S. I. Kundalwal, and M. C. Ray, Control of large amplitude vibrations of doubly curved sandwich shells composed of fuzzy fiber reinforced composite facings, Aerosp. Sci. Technol., vol. 70, pp. 10–28, 2017. DOI: 10.1016/j.ast.2017.07.027.
   Web of Science ®Google Scholar
• A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications, Springer, American Institute of Physics, New York, 2019.
   Google Scholar
• G. C. Gaunaurd, and W. Wertman, Transient acoustic scattering by fluid-loaded elastic shells, Int. J. Solids Struct., vol. 27, no. 6, pp. 699–711, 1991. DOI: 10.1016/0020-7683(91)90029-F.
   Web of Science ®Google Scholar
• M. Abramowitz, I. A. Stegun, and R. H. Romer, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 1988.
   Google Scholar
• M. Yalcintas, and J. P. Coulter, Electrorheological material based adaptive beams subjected to various boundary conditions, J. Intell. Mater. Syst. Struct., vol. 6, no. 5, pp. 700–717, 1995. DOI: 10.1177/1045389X9500600511.
   Web of Science ®Google Scholar
• E. Ghavanloo, H. Rafii-Tabar, and S. A. Fazelzadeh, New insights on nonlocal spherical shell model and its application to free vibration of spherical fullerene molecules, Int. J. Mech. Sci., vol. 161, pp. 105046, 2019.
   Web of Science ®Google Scholar
• F. J. Fahy, Foundations of Engineering Acoustics, Elsevier, Academic Press, London, 2000.
   Google Scholar
• W.-S. Hwang, H. C. Park, and W. Hwang, Vibration control of a laminated plate with piezoelectric sensor/actuator: finite element formulation and modal analysis, J. Intell. Mater. Syst. Struct., vol. 4, pp. 317–329, 1993.
   Google Scholar
• H. Sayyaadi, F. Rahnama, and M. A. A. Farsangi, Energy harvesting via shallow cylindrical and spherical piezoelectric panels using higher order shear deformation theory, Compos. Struct., vol. 147, pp. 155–167, 2016. DOI: 10.1016/j.compstruct.2016.03.035.
   Web of Science ®Google Scholar
• C.-S. Chiu, Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems, Automatica., vol. 48, no. 2, pp. 316–326, 2012. DOI: 10.1016/j.automatica.2011.08.055.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and M. Maleki, Interaction of a plane progressive sound wave with a functionally graded spherical shell, Ultrasonics., vol. 45, no. 1-4, pp. 165–177, 2006. DOI: 10.1016/j.ultras.2006.08.009.
   PubMed Web of Science ®Google Scholar
• W. Q. Chen, H. J. Ding, and R. Q. Xu, Three-dimensional free vibration analysis of a fluid-filled piezoceramic hollow sphere, Comput. Struct., vol. 79, no. 6, pp. 653–663, 2001. DOI: 10.1016/S0045-7949(00)00166-8.
   Web of Science ®Google Scholar
• K. J. Diercks, and R. Hickling, Echoes from hollow aluminum spheres in water, J. Acoust. Soc. Am., vol. 41, no. 2, pp. 380–393, 1967. DOI: 10.1121/1.1910349.
   Web of Science ®Google Scholar
• G. C. Gaunaurd, and A. Kalnins, Resonances in the sonar cross sections of coated spherical shells, Int. J. Solids Struct., vol. 18, no. 12, pp. 1083–1102, 1982. DOI: 10.1016/0020-7683(82)90095-6.
   Web of Science ®Google Scholar
• F. A. Amirkulova, Acoustic and Elastic Multiple Scattering and Radiation from Cylindrical Structures, Rutgers The State University of New Jersey, New Brunswick, 2014.
   Google Scholar
• G. S. Sammelmann, D. H. Trivett, and R. H. Hackman, The acoustic scattering by a submerged, spherical shell. I: The bifurcation of the dispersion curve for the spherical antisymmetric Lamb wave, J. Acoust. Soc. Am., vol. 85, no. 1, pp. 114–124, 1989. [Database] DOI: 10.1121/1.397718.
   Web of Science ®Google Scholar
• G. C. Gaunaurd, and M. F. Werby, Lamb and creeping waves around submerged spherical shells resonantly excited by sound scattering, J. Acoust. Soc. Am., vol. 82, no. 6, pp. 2021–2033, 1987. DOI: 10.1121/1.395646.
   Web of Science ®Google Scholar
• S. G. Kargl, and P. L. Marston, Ray synthesis of the form function for backscattering from an elastic spherical shell: Leaky Lamb waves and longitudinal resonances, J. Acoust. Soc. Am., vol. 89, no. 6, pp. 2545–2558, 1991. [Database] DOI: 10.1121/1.400694.
   Web of Science ®Google Scholar
• M. F. Werby, The acoustical background for a submerged elastic shell, J. Acoust. Soc. Am., vol. 90, no. 6, pp. 3279–3287, 1991. DOI: 10.1121/1.401438.
   Web of Science ®Google Scholar
• H. Überall, Acoustics of shells, Acoust. Phys., vol. 47, no. 2, pp. 115–139, 2001. DOI: 10.1134/1.1355796.
   Web of Science ®Google Scholar
• D. H. Hughes, and P. L. Marston, Local temporal variance of Wigner’s distribution function as a spectroscopic observable: Lamb wave resonances of a spherical shell, J. Acoust. Soc. Am., vol. 94, no. 1, pp. 499–505, 1993. DOI: 10.1121/1.407062.
   Web of Science ®Google Scholar
• G. C. Gaunaurd, and M. F. Werby, Lamb and creeping waves around submerged spherical shells resonantly excited by sound scattering. II: Further applications, J. Acoust. Soc. Am., vol. 89, no. 4, pp. 1656–1667, 1991. DOI: 10.1121/1.400999.
   Web of Science ®Google Scholar
• S. Wise, and G. Leventhall, Active noise control as a solution to low frequency noise problems, J. Low Freq. Noise, Vib. Act. Control., vol. 29, no. 2, pp. 129–137, 2010. DOI: 10.1260/0263-0923.29.2.129.
   Web of Science ®Google Scholar
• Y. Cao, H. Sun, F. An, and X. Li, Active control of low-frequency sound radiation by cylindrical shell with piezoelectric stack force actuators, J. Sound Vib., vol. 331, no. 11, pp. 2471–2484, 2012. DOI: 10.1016/j.jsv.2012.02.001.
   Web of Science ®Google Scholar
• T. Murao, M. Nishimura, K. Sakurama, and S. Nishida, Basic study on active acoustic shielding (Improving noise-reducing performance in low-frequency range), Mech. Eng. J., vol. 1, no. 6, pp. EPS0065–EPS0065, 2014. DOI: 10.1299/mej.2014eps0065.
   Google Scholar
• W. Wang, and P. J. Thomas, Low-frequency active noise control of an underwater large-scale structure with distributed giant magnetostrictive actuators, Sensors Actuators A Phys., vol. 263, pp. 113–121, 2017. DOI: 10.1016/j.sna.2017.05.044.
   Web of Science ®Google Scholar
• S. M. Hasheminejad, and A. Jamalpoor, Control of sound transmission into a hybrid double-wall sandwich cylindrical shell, J. Vib. Control., pp. 1–18, 2021. DOI: 1077546320982136.
   Web of Science ®Google Scholar
• S. S. Rao, Vibration of Continuous Systems, John Wiley & Sons Inc, New Jersey, 2019.
   Google Scholar
• A. R. Setoodeh, M. Shojaee, and P. Malekzadeh, Application of transformed differential quadrature to free vibration analysis of FG-CNTRC quadrilateral spherical panel with piezoelectric layers, Comput. Methods Appl. Mech. Eng., vol. 335, pp. 510–537, 2018. DOI: 10.1016/j.cma.2018.02.022.
   Web of Science ®Google Scholar
• Y. Xiang, Y. Huang, J. Lu, L. Yuan, and S. Zou, New matrix method for analyzing vibration and damping effect of sandwich circular cylindrical shell with viscoelastic core, Appl. Math. Mech-Engl. Ed., vol. 29, no. 12, pp. 1587–1600, 2008. DOI: 10.1007/s10483-008-1207-x.
   Google Scholar
• Y.-C. Hu, and S.-C. Huang, The frequency response and damping effect of three-layer thin shell with viscoelastic core, Comput. Struct., vol. 76, no. 5, pp. 577–591, 2000. DOI: 10.1016/S0045-7949(99)00182-0.
   Web of Science ®Google Scholar