Abstract
Hemispherical shells are important structural components that have a wide range of applications due to their high stiffness-to-weight ratio. In blast valves, hemispherical shells are used as part of the closure mechanism. This study aims to investigate the response of flat-collared hemispherical shells under the shock load produced in shock tube experiments. The study is carried out considering flat-collared hemispherical shells with radius of curvature 2r, 3r, and 4r (where r = 50 mm is the circular radius of the hemispherical portion) of four different thicknesses (0.5 mm, 1.0 mm, 1.2 mm, and 1.5 mm), flat circular plates of identical thickness, and a 2.0-mm-thick plate against a driver pressure ranging from 1.5 to 20 bar. The shock loading was produced by a shock tube (diameter of 100 mm) in experimental setup available at DRDO laboratory. The response in terms of radial/meridional and hoop strains at a radial location of 35 mm along with the radial strain at the center (in some cases) for hemispherical shells and circular plates was obtained and compared. Simply supported hemispherical shells were loaded from the front (concave) side. A uniquely designed sample holding mechanism (spring-loaded) held the hemispherical shells in a simply supported manner and released the high-pressure gases just after the loading of the sample. The response of one hemispherical shell with a thickness of 1.5 mm and a radius of 150 mm was simulated on ANSYS Autodyn, and the experimental and numerical results were found in good agreement. Based on the detailed study, it is concluded that the location of meridional normal strain shifts toward the periphery for flat-collared hemispherical shells with decrease in radius of curvature. Further, the meridional strain at r = 35 mm is always greater than the meridional strain at r = 0 with hoop strain (at r = 35 mm) lying between these two values. The variation of meridional strain at r = 35 mm shows the maximum percentage increase with an increase in the radius of curvature. The study shows that the hemispherical shell of 1.5 mm thickness and 150-mm radius of curvature is most suitable (among the shells considered) for blast valve applications with smallest strain values. This study on the investigation of shock response of flat-collared hemispherical shells is carried out for the first time and is the new contribution in comparison with the available literature.
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References
Schleyer GK, Lowak MJ, Polcyn MA, Langdon GS (2007) Experimental investigation of blast wall panels under shock pressure loading. Int J Impact Eng 34:1095–1118
Barik SK, Narayanan RG, Sahoo N (2020) Forming response of AA5052–H32 sheet deformed using a shock tube. Trans Nonferrous Met Soc China 30(3):603–618
Kumar R, Nedungadi A (2020) Using gas-driven shock tubes to produce blast wave signatures. Front Neurol 11:90
Aune V, Fagerholt E, Langseth M, Børvik T (2016) A shock tube facility to generate blast loading on structures. Int J Prot Struct 7(3):340–366
Nanda SR, Agarwal S, Kulkarni V, Sahoo N (2017) Shock tube as an impulsive application device. Int J Aerosp Eng 2017:1–12
Xin L, Peiwen Z, Zhihua W, Guiying W, Longmao Z (2014) Dynamic behavior of aluminium honeycomb sandwich panels under air blast: experiment and numerical analysis. Compos Struct 108:1001–1008
Yi H, Akula PK, Linxia G (2014) Experimental and numerical investigation of carbon fiber sandwich panels subjected to blast loading. Compos B 56:456–463
Clark RO (1972) Development and shock tube test analysis of piston plate airblast valve. Naval Civil Engineering Laboratory, California
Liao Y, Shi S, Liu Z, Caoke L (2018) Study on shock resistance of steel plate reinforced with polyurea woven fiberglass mesh composite under shock wave. Int J Prot Struct 9(2):248–266
Kumar P, Leblanc J, Stargel DS, Shukla A (2012) Effect of plate curvature on blast response of aluminium panels. Int J Impact Eng 46:74–85
Matthew JD, Shukla A (2011) Performance of sandwich composites subjected to sequential impact and air blast loading. Compos B 42:155–166
Schimizze B, Son SF, Goel R, Vechart AP, Young L (2013) An experimental and numerical study of blast induced shock wave mitigation in sandwich structures. Appl Acoust 74:1–9
Kazemahvazi S, Radford D, Deshpande VS, Fleck NA (2007) Dynamic failure of clamped circular plates subjected to an underwater shock. J Mech Mater Struct 2(10):2007–2023
Aune V, Casadei F, Valsamos G, Langseth M, Børvik T (2018) A shock tube used to study the dynamic response of blast-loaded plates. In: Multidisciplinary digital publishing institute proceedings, vol 2(8), p 503
Li Y, Algassem O, Aoude H (2018) Response of high-strength reinforced concrete beams under shock-tube induced blast loading. Constr Build Mater 189:420–437
Isaac OS, Jagadeesh G (2020) Impulse loading of plates using a diverging shock tube. Exp Mech 60(4):565–569. https://doi.org/10.1007/s11340-019-00573-5
Ismail A, Ezzeldin M, El-Dakhakhni W, Tait M (2020) Blast load simulation using conical shock tube systems. Int J Prot Struct 11(2):135–158
Singh GP, Sharma JD, Arora R, Sandhu IS (2020) CFD analysis of shock tube for blast impact testing. Mater Today Proc 28:1872–1878. https://doi.org/10.1016/j.matpr.2020.05.294
Zhu F, Lu G (2007) A review of blast and impact of metallic and sandwich structures. EJSE Special Issue: Loading on Structures, pp 92–101
Henchie TF, Yuen SCK, Nurick GN, Ranwaha N, Balden VH (2014) The response of circular plates to repeated uniform blast loads: an experimental and numerical study. Int J Impact Eng 74:36–45
Aiyesimi YM, Mohammed AA, Sadiku SA (2011) Finite element analysis of the dynamic response of a thick uniform elastic circular plate subjected to an exponential blast loading. Am J Comput Appl Math 1(2):57–62
Balden VH, Nurik GN (2010) Localised blast loaded circular plates: an experimental and numerical investigation. In: Proceedings of the IMPLAST
Sharma PK, Patel BP, Lal H (2017) On the response of hemispherical shell under blast loading. Proced Eng 173:533–538
ANSYS. Autodyn User Manual. https://support.ansys.com/ Accessed on 13 Jun 2019
Hioki. Memory Hicorder Recorders / Digital Oscilloscope 8860-50, 8861-50. https://www.hioki.com/ Accessed on 12 Feb 2019
Dong YH, Zhu B, Wang Y, He LW, Li YH, Yang J (2019) Analytical prediction of the impact response of graphene reinforced spinning cylindrical shells under axial and thermal loads. Appl Math Model 71:331–348
Dong Y, Haiyan Hu, Wang L (2022) A comprehensive study on the coupled multi-mode vibrations of cylindrical shells. Mech Syst Signal Process 169:108730
Hashemi S, Zamani F, Eftekhari A, Rostamiyan Y, Khaledi H, RajabiRezaAbadi M (2023) On the vibration of functionally graded annular plate with elastic edge supports and resting on Winkler foundation. Austr J Mech Eng 21(3):926–941
Hashemi S, Jafari AA (2020) An analytical solution for nonlinear vibrations analysis of functionally graded plate using modified Lindstedt-Poincare method. Int J Appl Mech 12(01):2050003
Hashemi S, Jafari AA (2020) Nonlinear free and forced vibrations of in-plane bi-directional functionally graded rectangular plate with temperature-dependent properties. Int J Struct Stab Dyn 20(08):2050097
Hashemi S, Jafari AA (2021) An analytical solution for nonlinear vibration analysis of functionally graded rectangular plate in contact with fluid. Adv Appl Math Mech 13(4):914–941
Hashemi S, Shahri PK, Beigzadeh S, Zamani F, Eratbeni MG, Mahdavi M, Heidari A, Khaledi H, Abadi MR (2022) Nonlinear free vibration analysis of In-plane Bi-directional functionally graded plate with porosities resting on elastic foundations. Int J Appl Mech 14(01):2150131
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Sharma, P.K., Patel, B.P. & Thakur, P.K. Experimental study of flat-collared hemispherical shells under shock loading. J Braz. Soc. Mech. Sci. Eng. 46, 344 (2024). https://doi.org/10.1007/s40430-024-04862-6
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DOI: https://doi.org/10.1007/s40430-024-04862-6