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Articles

Vol. 10 (2023)

Vibro-Acoustic Analysis of an Underwater Cylindrical Shell with Internal Structures and a Comparison with Experiment

DOI
https://doi.org/10.31875/2409-9848.2023.10.15
Submitted
December 26, 2023
Published
2023-12-26

Abstract

Abstract: In this work, the low-frequency vibration response and full-band acoustic radiation characteristics of an underwater reinforced cylindrical shell with internal structures are studied by combining the FEM with SEA. The stiffened cylindrical shell contains internal structures such as the F-shape plates and the support valve frames. The exciting sources have two different exciting forces corresponding to two experimental conditions. In the low-frequency band, the FEM was employed, and in the medium and high-frequency bands, the SEA was used. A comparison of the numerical results and the experiment shows that they agree well. The FEM and SEA give better results at [1,1k] Hz and [1k,10k] Hz, respectively. Due to mesh quality limitations, the FEM is not favorable for medium and high-frequency calculations. The SEA focuses on the structural mean power flow but cannot obtain position-specific vibrational responses. The results show that the internal excitation source mainly causes the structural vibration and sound radiation and are closely related to the free vibration characteristics of the structure. In addition, with the increase in frequency, the circumferential sound pressure level of the underwater structure has more substantial directivity.

References

  1. Leissa A W., Vibration of shells, Scientific and Technical Information Office, National Aeronautics and Space Administration, 1973.
  2. Gan L, Li X, Zhang Z., Free vibration analysis of ring-stiffened cylindrical shells using wave propagation approach, Journal of Sound and Vibration, 2009,326(3-5): 633-646. https://doi.org/10.1016/j.jsv.2009.05.001
  3. Irie T, Yamada G, Muramoto Y., Free vibration of joined conical-cylindrical shells, Journal of Sound and Vibration, 1984,95(1): 31-39. https://doi.org/10.1016/0022-460X(84)90256-6
  4. Ma X, Jin G, Shi S, et al., An analytical method for vibration analysis of cylindrical shells coupled with annular plate under general elastic boundary and coupling conditions, Journal of Vibration and Control, 2017,23(2): 305-328. https://doi.org/10.1177/1077546315576301
  5. Polyakov V A, Shlitsa R P, Khitrov V V, et al., An applied model for free radial vibrations of a closed spherical sandwich shell, Mechanics of Composite Materials, 2007,43(04): 331-344. https://doi.org/10.1007/s11029-007-0031-1
  6. Hodges C.H., Power J., Woodhouse J., The low frequency vibration of a ribbed cylinder, Part 1: Theory, Journal of Sound and Vibration, 1985,101(02): 219-235. https://doi.org/10.1016/S0022-460X(85)81217-7
  7. Hodges C.H., Power J., Woodhouse J., The low frequency vibration of a ribbed cylinder, Part 2: Observations and interpretation, Journal of Sound and Vibration, 1985,101(02): 237-256. https://doi.org/10.1016/S0022-460X(85)81218-9
  8. Photiadis D M, Houston B H, Williams E G, et al., Resonant response of complex shell structures, The Journal of the Acoustical Society of America, 2000,108(3): 1027-1035. https://doi.org/10.1121/1.1286515
  9. Li C, Zhang Z, Yang Q, et al., Experiments on the geometrically nonlinear vibration of a thin-walled cylindrical shell with points supported boundary condition, Journal of Sound and Vibration, 2020,473: 115226. https://doi.org/10.1016/j.jsv.2020.115226
  10. Wang Q, Choe K, Shi D, et al., Vibration analysis of the coupled doubly-curved revolution shell structures by using Jacobi-Ritz method, International Journal of Mechanical Sciences, 2018,135: 517-531. https://doi.org/10.1016/j.ijmecsci.2017.12.002
  11. Qin Z, Chu F, Zu J., Free vibrations of cylindrical shells with arbitrary boundary conditions: a comparison study, International Journal of Mechanical Sciences, 2017,133: 91-99. https://doi.org/10.1016/j.ijmecsci.2017.08.012
  12. Guo W, Li T, Zhu X, et al., Vibration and acoustic radiation of a finite cylindrical shell submerged at finite depth from the free surface, Journal of Sound and Vibration, 2017,393: 338-352. https://doi.org/10.1016/j.jsv.2017.01.003
  13. Aslani P, Sommerfeldt S D, Blotter J D., Analysis of the external radiation from circular cylindrical shells, Journal of Sound and Vibration, 2017,408: 154-167. https://doi.org/10.1016/j.jsv.2017.07.021
  14. Caresta M, Kessissoglou N J., Acoustic signature of a submarine hull under harmonic excitation, Applied acoustics, 2010,71(1): 17-31. https://doi.org/10.1016/j.apacoust.2009.07.008
  15. Wang X, Chen D, Xiong Y, et al., Experiment and modeling of vibro-acoustic response of a stiffened submerged cylindrical shell with force and acoustic excitation, Results in Physics, 2018,11: 315-324. https://doi.org/10.1016/j.rinp.2018.09.017
  16. Wang X, Chen D, Xiong Y, et al., Simulation and investigations on the vibro-acoustic behavior of cylindrical shells in ice-covered water, Results in Physics, 2019,15: 102764. https://doi.org/10.1016/j.rinp.2019.102764
  17. Wang X, Xu E, Jiang C, et al., Vibro-acoustic behavior of double-walled cylindrical shells with general boundary conditions, Ocean Engineering, 2019,192: 106529. https://doi.org/10.1016/j.oceaneng.2019.106529
  18. Wang X Z, Jiang Q Z, Xiong Y P, et al., Experimental studies on the vibro-acoustic behavior of a stiffened submerged conical-cylindrical shell subjected to force and acoustic excitation, Journal of Low Frequency Noise, Vibration and Active Control, 2020,39(2): 280-296. https://doi.org/10.1177/1461348419844648
  19. Jin G, Ma X, Wang W, et al., An energy-based formulation for vibro-acoustic analysis of submerged submarine hull structures, Ocean Engineering, 2018,164: 402-413. https://doi.org/10.1016/j.oceaneng.2018.06.057
  20. Yildizdag E, Ardic I T, Kefal A, et al., An isogeometric FE-BE method and experimental investigation for the hydroelastic analysis of a horizontal circular cylindrical shell partially filled with fluid, Thin-Walled Structures, 2020,151(17): 106755. https://doi.org/10.1016/j.tws.2020.106755
  21. Gao C, Zhang H, Li H, et al., Numerical and experimental investigation of vibro-acoustic characteristics of a submerged stiffened cylindrical shell excited by a mechanical force, Ocean Engineering, 2022,249: 110913. https://doi.org/10.1016/j.oceaneng.2022.110913
  22. Li C, Jian W, Qu Y, et al., Numerical and experimental investigation on vibro-acoustic response of a shaft-hull system, Engineering Analysis with Boundary Elements, 2016,71: 129-139. https://doi.org/10.1016/j.enganabound.2016.07.016
  23. Li C, Jian W, Qu Y, et al., Vibro-acoustic responses of a coupled propeller-shaft-hull system due to propeller forces, Ocean Engineering, 2019,173: 460-468. https://doi.org/10.1016/j.oceaneng.2018.12.077
  24. Maxit L., Scattering model of a cylindrical shell with internal axisymmetric frames by using the Circumferential Admittance Approach, Applied Acoustics, 2014,80: 10-22. https://doi.org/10.1016/j.apacoust.2014.01.002
  25. Maxit L, Ginoux J M., Prediction of the vibro-acoustic behavior of a submerged shell non periodically stiffened by internal frames, The Journal of the Acoustical Society of America, 2010,128(1): 137-151. https://doi.org/10.1121/1.3436526
  26. Meyer V, Maxit L, Guyader J L, et al., Prediction of the vibroacoustic behavior of a submerged shell with non-axisymmetric internal substructures by a condensed transfer function method, Journal of Sound and Vibration, 2016,360: 260-276. https://doi.org/10.1016/j.jsv.2015.09.030
  27. Chen M, Zhang L, Xie K., Vibration analysis of a cylindrical shell coupled with interior structures using a hybrid analytical-numerical approach, Ocean Engineering, 2018,154: 81-93. https://doi.org/10.1016/j.oceaneng.2018.02.006
  28. Ren Y, Qin Y, Pang F, et al., Investigation on the flow-induced structure noise of a submerged cone-cylinder-hemisphere combined shell, Ocean Engineering, 2023,270: 113657. https://doi.org/10.1016/j.oceaneng.2023.113657
  29. Gupta P, Parey A., Prediction of sound transmission loss of cylindrical acoustic enclosure using statistical energy analysis and its experimental validation, The Journal of the Acoustical Society of America, 2022,151(1): 544-560. https://doi.org/10.1121/10.0009358
  30. Burroughs C B, Fischer R W, Kern F R., An introduction to statistical energy analysis, The Journal of the Acoustical Society of America, 1997,101(4): 1779-1789. https://doi.org/10.1121/1.418074
  31. Xiang X, Luo H, Li S, et al., Characteristics and factors of mode families of axial turbine runner, International Journal of Mechanical Sciences, 2023,251: 108356. https://doi.org/10.1016/j.ijmecsci.2023.108356
  32. Lyon R H, DeJong R G, Heckl M., Theory and application of statistical energy analysis, Boston, USA: Butterworth Heinemann, 1995. https://doi.org/10.1016/C2009-0-26747-X
  33. Yu C, Wang R, Zhang X, et al., Experimental and numerical study on underwater radiated noise of AUV, Ocean Engineering, 2020,201: 107111. https://doi.org/10.1016/j.oceaneng.2020.107111