DOI QR코드

DOI QR Code

Buckling failure of cylindrical ring structures subjected to coupled hydrostatic and hydrodynamic pressures

  • Ping, Liu (Department of Civil Engineering and Architecture, Jiangsu University of Science and Technology) ;
  • Feng, Yang Xin (Department of Civil Engineering and Architecture, Jiangsu University of Science and Technology) ;
  • Ngamkhanong, Chayut (Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University)
  • Received : 2021.04.19
  • Accepted : 2021.10.08
  • Published : 2021.12.25

Abstract

This paper presents an analytical approach to calculate the buckling load of the cylindrical ring structures subjected to both hydrostatic and hydrodynamic pressures. Based on the conservative law of energy and Timoshenko beam theory, a theoretical formula, which can be used to evaluate the critical pressure of buckling, is first derived for the simplified cylindrical ring structures. It is assumed that the hydrodynamic pressure can be treated as an equivalent hydrostatic pressure as a cosine function along the perimeter while the thickness ratio is limited to 0.2. Note that this paper limits the deformed shape of the cylindrical ring structures to an elliptical shape. The proposed analytical solutions are then compared with the numerical simulations. The critical pressure is evaluated in this study considering two possible failure modes: ultimate failure and buckling failure. The results show that the proposed analytical solutions can correctly predict the critical pressure for both failure modes. However, it is not recommended to be used when the hydrostatic pressure is low or medium (less than 80% of the critical pressure) as the analytical solutions underestimate the critical pressure especially when the ultimate failure mode occurs. This implies that the proposed solutions can still be used properly when the subsea vehicles are located in the deep parts of the ocean where the hydrostatic pressure is high. The finding will further help improve the geometric design of subsea vehicles against both hydrostatic and hydrodynamic pressures to enhance its strength and stability when it moves underwater. It will also help to control the speed of the subsea vehicles especially they move close to the sea bottom to prevent a catastrophic failure.

Keywords

Acknowledgement

The first author is sincerely grateful to Professor Chang-Fu Hu for his guidance. This work is financially supported by the National Natural Science Foundation of China (No. 51508238) which is in charge of the first author.

References

  1. Berkenpas, E.J., Henning, B.S., Shepard, C.M., Turchik, A.J., Robinson, C.J., Portner, E.J., Li, D.H., Daniel, P.C. and Gilly, W.F. (2018), "A Buoyancy-Controlled Lagrangian Camera Platform for In Situ Imaging of Marine Organisms in Midwater Scattering Layers", IEEE J. Oceanic Eng., 43(3), 595-607. https://doi.org/10.1109/JOE.2017.2736138
  2. Cho, Y.S., Oh, D.H. and Paik, J.K. (2019), "An empirical formula for predicting the collapse strength of composite cylindrical-shell structures under external pressure loads", Ocean Eng., 172, 191-198. https://doi.org/10.1016/j.oceaneng.2018.11.028
  3. Constable, S., Kowalczyk, P. and Bloomer, S. (2018), "Measuring marine self-potential using an autonomous underwater vehicle", Geophys. J. Int., 215(1), 49-60. https://doi.org/10.1093/gji/ggy263
  4. Durban, D. and Libai, A. (1972), "Buckling of a Circular Cylindrical Shell in Axial Compression and SS4 Boundary Conditions", AIAA Journal, 10(7), 935-936. https://doi.org/10.2514/3.50251
  5. Enrichetti, F., Bavestrello, G., Coppari, M., Betti, F. and Bo, M. (2018), "Placogorgia coronata first documented record in Italian waters: Use of trawl bycatch to unveil vulnerable deep-sea ecosystems", Aquatic Conser.: Marine Freshwater Ecosyst., 28(5), 1123-1138. https://doi.org/10.1002/aqc.2930
  6. Faridmehr, I., Jokar, M.J., Yazdanipour, M. and Kolahchi, A. (2019), "Hydraulic and structural considerations of dam's spillway-a case study of Karkheh Dam, Andimeshk, Iran", Struct. Monitor. Maint., Int. J., 6(1), 1-17. https:// doi.org/10.12989/smm.2019.6.1.001
  7. Franzoni, F., Degenhardt, R., Albus, J. and Arbelo, M.A. (2019a), "Vibration correlation technique for predicting the buckling load of imperfection-sensitive isotropic cylindrical shells: An analytical and numerical verification", Thin-Wall. Struct., 140, 236-247. https://doi.org/10.1016/j.tws.2019.03.041
  8. Franzoni, F., Odermann, F., Wilckens, D., Skukis, E., Kalnins, K., Arbelo, M.A. and Degenhardt, R. (2019b), "Assessing the axial buckling load of a pressurized orthotropic cylindrical shell through vibration correlation technique", Thin-Wall. Struct., 137, 353-366. https://doi.org/10.1016/j.tws.2019.01.009
  9. Fujita, K. and Nosaka, T. (2002), "Dynamic Buckling Behavior of an Elastic Beam Subjected to Horizontal and Vertical Excitations Simultaneously", ASME 2002 Pressure Vessels and Piping Conference, 46563, 127-133. https://doi.org/10.1115/PVP2002-1407
  10. Ganesan, N. and Pradeep, V. (2005), "Buckling and vibration of circular cylindrical shells containing hot liquid", J. Sound Vib., 287(4), 845-863. https://doi.org/10.1016/j.jsv.2004.12.001
  11. Gomez, M., Moulton, D.E. and Vella, D. (2016), "The shallow shell approach to Pogorelov's problem and the breakdown of 'mirror buckling'", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2187), 20150732. https://doi.org/10.1098/rspa.2015.0732
  12. Hernandez, E., Naranjo, C. and Vellojin, J. (2020), "Modelling of thin viscoelastic shell structures under Reissner-Mindlin kinematic assumption", Appl. Mathe. Modell., 79, 180-199. https://doi.org/10.1016/j.apm.2019.10.031
  13. Hongwei, M., Guoqiang, C., Shanyuan, Z. and Guitong, Y. (1999), "Experimental studies on dynamic plastic buckling of circular cylindrical shells under axial impact", Acta Mechanica Sinica, 15(3), 275-282. https://doi.org/10.1007/BF02486155
  14. Hu, C.F. and Huang, Y.M. (2019), "In-plane nonlinear elastic stability of pin-ended parabolic multi-span continuous arches", Eng. Struct., 190, 435-446. https://doi.org/10.1016/j.engstruct.2019.04.013
  15. Hu, C.F., Pi, Y.L., Gao, W. and Li, L. (2018), "In-plane non-linear elastic stability of parabolic arches with different rise-to-span ratios", Thin-Wall. Struct., 129, 74-84. https://doi.org/10.1016/j.tws.2018.03.019
  16. Li, H., Cong, G., Li, L., Pang, F. and Lang, J. (2019a), "A semi analytical solution for free vibration analysis of combined spherical and cylindrical shells with non-uniform thickness based on Ritz method", Thin-Wall. Struct., 145, 106443. https://doi.org/10.1016/j.tws.2019.106443
  17. Li, H., Cong, G., Li, L., Pang, F. and Lang, J. (2019b), "A semi analytical method for free vibration analysis of composite laminated cylindrical and spherical shells with complex boundary conditions", Thin-Wall. Struct., 136, 200-220. https://doi.org/10.1016/j.tws.2018.12.009
  18. Lu, S., Wang, W., Chen, W., Ma, J., Shi, Y. and Xu, C. (2019), "Behaviors of Thin-Walled Cylindrical Shell Storage Tank under Blast Impacts", Shock Vib., 2019, 6515462. https://doi.org/10.1155/2019/6515462
  19. Ma, X., Yan, J., Luan, Z., Zhang, X., Zheng, C.E. and Sun, D. (2016), "High-resolution topography measurement of PACMANUS and DESMOS hydrothermal fields using a ROV in Manus basin", Sci. Bull., 61(15), 1154-1156. https://doi.org/10.1007/s11434-016-1114-y
  20. Maier, K.L., Brothers, D.S., Paull, C.K., McGann, M., Caress, D.W. and Conrad, J.E. (2017), "Records of continental slope sediment flow morphodynamic responses to gradient and active faulting from integrated AUV and ROV data, offshore Palos Verdes, southern California Borderland", Marine Geology, 393, 47-66. https://doi.org/10.1016/j.margeo.2016.10.001
  21. McClain, C.R. and Barry, J.P. (2010), "Habitat heterogeneity, disturbance, and productivity work in concert to regulate biodiversity in deep submarine canyons", Ecology, 91(4), 964-976. https://doi.org/10.1890/09-0087.1
  22. Narayana, Y.V., Gunda, J.B., Reddy, P.R. and Markandeya, R. (2013), "Non-linear buckling and post-buckling analysis of cylindrical shells subjected to axial compressive loads: a study on imperfection sensitivity", Nonlinear Eng., 2(3-4), 83-95. https://doi.org/10.1515/nleng-2013-0009
  23. Okubo, M., Minami, H. and Morikawa, K. (2003), "Influence of shell strength on shape transformation of micron-sized, monodisperse, hollow polymer particles", Colloid Polym. Sci., 281(3), 214-219. https://doi.org/10.1007/s00396-002-0716-x
  24. Pang, F., Li, H., Cui, J., Du, Y. and Gao, C. (2019), "Application of flugge thin shell theory to the solution of free vibration behaviors for spherical-cylindrical-spherical shell: A unified formulation", Eur. J. Mech. - A/Solids, 74, 381-393. https://doi.org/10.1016/j.euromechsol.2018.12.003
  25. Pi, Y.L. and Bradford, M.A. (2013), "In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints", Eng. Struct., 56, 1496-1510. https://doi.org/10.1016/j.engstruct.2013.07.020
  26. Qu, Y., Zhang, W., Peng, Z. and Meng, G. (2019), "Nonlinear structural and acoustic responses of three-dimensional elastic cylindrical shells with internal mass-spring systems", Appl. Acoust., 149, 143-155. https://doi.org/10.1016/j.apacoust.2019.01.009
  27. Rizzetto, F., Jansen, E., Strozzi, M. and Pellicano, F. (2019), "Nonlinear dynamic stability of cylindrical shells under pulsating axial loading via Finite Element analysis using numerical time integration", Thin-Wall. Struct., 143, 106213. https://doi.org/10.1016/j.tws.2019.106213
  28. Stuart, F.R., Goto, J.T. and Sechler, E.E. (1968), The buckling of thin-walled circular cylinders under axial compression and bending, National Aeronautics and Space Administration, Washington D.C., USA.
  29. Sun, J.B., Xu, X.S. and Lim, C.W. (2012), "Dynamic buckling of cylindrical shells under axial impact in Hamiltonian system", Int. J. Nonlinear Sci. Numer. Simul., 13(1), 93-97. https://doi.org/10.1515/ijnsns-2011-0105
  30. Tvergaard, V. (1983), "Plastic buckling of axially compressed circular cylindrical shells", Thin-Wall. Struct., 1(2), 139-163. https://doi.org/10.1016/0263-8231(83)90018-6
  31. Timmins, I.J. and O'Young, S. (2009), "Marine communications channel modeling using the finite-difference time domain method", IEEE Transact. Vehicular Technol., 58(6), 2626-2637. https://doi.org/10.1109/TVT.2008.2010326
  32. Wang, Y., Shao, S., Wang, S., Wu, Z., Zhang, H. and Hu, X. (2014), "Measurement error analysis of multibeam echosounder system mounted on the deep-sea autonomous underwater vehicle", Ocean Eng., 91, 111-121. https://doi.org/10.1016/j.oceaneng.2014.09.002
  33. Werner, B. (2019), "Navy, Shipbuilders Working On Final Details Of Block V Virginia-Class Submarine Deal", USNI News. Available on: https://news.usni.org/2019/08/29/navy-shipbuilders-working-on-final-details-of-block-v-virginia-class-submarine-deal
  34. Zou, R.D. and Foster, C.G. (1995), "Simple solution for buckling of orthotropic circular cylindrical shells", Thin-Wall. Struct., 22(3), 143-158. https://doi.org/10.1016/0263-8231(94)00026-V
  35. Zou, D., Li, W., Liu, T. and Teng, J. (2018), "Two-dimensional water seepage monitoring in concrete structures using smart aggregates", Struct. Monitor. Maint., Int. J., 5(2), 313-323. https://doi.org/10.12989/smm.2018.5.2.313