Abstract
Nonlinear postbuckling analyses are conducted to investigate the buckling KnockDown Factors (KDF) for pressurized metallic cylinders. The nonlinear analysis code, ABAQUS, is used to the postbuckling analyses. Various numerical modeling techniques are used to represent the initial imperfections of a cylinder. Measured Geometric Imperfection (MGI) and Single (or Multiple) Perturbation Load Approaches (SPLA or MPLA) are considered to model the geometric initial imperfection modeling techniques, and Single Boundary Perturbation Approach (SBPA) is used to represent the boundary imperfection modeling technique. When the internal pressures of 0 and 40 kPa, the SPLA can provide less conservative KDFs. However, the robust KDFs for the cylinder subjected to an internal pressure of 100 kPa are derived using the SBPA. These results show that the initial imperfection modeling must be appropriately selected considering the internal pressure levels of the thin-walled cylinder.
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References
Peterson JP, Seide P, Weingarten VI (1968) Buckling of thin-walled circular cylinders. NASA SP-8007
Haynie W, Hilburger MW, Bogge M, Maspoli M, Kriegesmann B (2012) Validation of lower-bound estimates for compression-loaded cylindrical shells. In: 53rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference 20th AIAA/ASME/AHS adaptive structures conference
Hilburger MW (2012) Develo** the next generation shell buckling design factors and technologies. In 53rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference 20th AIAA/ASME/AHS adaptive structures conference
Degenhardt R, Castro SG, Arbelo MA, Zimmerman R, Khakimova R, Kling A (2014) Future structural stability design for composite space and airframe structures. Thin-Walled Struct 81:29–38. https://doi.org/10.1016/j.tws.2014.02.020
Sim CH, Park JS, Kim HI, Lee YL, Lee K (2018) Postbuckling analyses and derivations of knockdown factors for hybrid-grid stiffened cylinders. Aerosp Sci Technol 82:20–31. https://doi.org/10.1016/j.ast.2018.08.025
Verduyn WD, Elishakoff I (1982) A testing machine for statistical analysis of small imperfect shells: part I. Delft University of Technology, Department of Aerospace Engineering, Report LR-357
Wagner HNR, Hühne C (2018) Robust knockdown factors for the design of cylindrical shells under axial compression: potentials, practical application and reliability analysis. Int J Mech Sci 135:410–430. https://doi.org/10.1016/j.ijmecsci.2017.11.020
Wagner HNR, Hühne C, Rohwer K, Niemann S, Wiedemann M (2017) Stimulating the realistic worst case buckling scenario of axially compressed unstiffened cylindrical composite shells. Compos Struct 160:1095–1104. https://doi.org/10.1016/j.compstruct.2016.10.108
Zhao H, Lan X, Liu L, Liu Y, Leng J (2023) Numerical prediction and experimental analysis of the buckling loads of SMPC cylindrical shells under axial compression. Thin-Walled Struct 183:110340. https://doi.org/10.1016/j.tws.2022.110340
Sim CH, Kim HI, Lee YL, Park JS, Lee K (2018) Derivations of knockdown factors for cylindrical structures considering different initial imperfection models and thickness ratios. Int J Aeronaut Space Sci 19:626–635. https://doi.org/10.1007/s42405-018-0069-4
Hao P, Wang B, Li G, Meng Z, Tian K, Zeng D, Tang X (2014) Worst multiple perturbation load approach of stiffened shells with and without cutouts for improved knockdown factors. Thin-Walled Struct 82:321–330. https://doi.org/10.1016/j.tws.2014.05.004
Tian K, Wang B, Hao P, Waas AM (2017) A high-fidelity approximate model for determining lower-bound buckling loads for stiffened shells. Int J Solids Struct 148:14–23. https://doi.org/10.1016/j.ijsolstr.2017.10.034
Kim DY, Sim CH, Park JS, Yoo JT, Yoon YH, Lee K (2021) Buckling knockdown factors of composite cylinders under both compression and internal pressure. Aerospace 8(11):346. https://doi.org/10.3390/aerospace8110346
Wang B, Du K, Hao P, Zhou C, Tian K, Xu S, Ma Y, Zhang X (2016) Numerically and experimentally predicted knockdown factors for stiffened shells under axial compression. Thin-Walled Struct 109:13–24. https://doi.org/10.1016/j.tws.2016.09.008
Hühne C, Rolfes R, Breitbach E, Teßmer J (2008) Robust design of composite cylindrical shells under axial compression—simulation and validation. Thin-Walled Struct 46(7–9):947–962. https://doi.org/10.1016/j.tws.2008.01.043
Wagner HNR, Hühne C, Niemann S (2017) Robust knockdown factors for the design of axially loaded cylindrical and conical composite shells—development and validation. Compos Struct 173:281–303. https://doi.org/10.1016/j.compstruct.2017.02.031
Hilburger MW (2020) Buckling of thin-walled circular cylinders. NASA/SP-8007-2020/REV 2
Hilburger MW, Lovejoy AE, Thornburgh R, Rankin C (2012) Design and analysis of subscale and full-scale buckling-critical cylinders for launch vehicle technology development. In: 53rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference 20th AIAA/ASME/AHS adaptive structures conference 14th AIAA
Hilburger MW, Haynie W, Lovejoy AE, Roberts M, Norris J, Waters W, Herring H (2012) Sub-scale and full-scale testing of buckling-critical launch vehicle shell structures. In: 53rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference 20th AIAA/ASME/AHS adaptive structures conference 14th AIAA
Jeon MH, Cho HJ, Sim CH, Kim YJ, Lee MY, Kim IG, Park JS (2023) Experimental and numerical approach for predicting global buckling load of pressurized unstiffened cylindrical shells using vibration correlation technique. Compos Struct 350:116460. https://doi.org/10.1016/j.compstruct.2022.116460
Sim CH, Kim DY, Park JS, Yoo JT, Yoon YH, Lee K (2023) Derivation of buckling knockdown factors for pressurized orthogrid-stiffened cylinders of launch vehicle structures. Int J Aeronaut Space Sci 2023:1–16. https://doi.org/10.1007/s42405-023-00621-4
Singer J, Abramovich H (1995) The development of shell imperfection measurement techniques. Thin-Walled Struct 23:379–398. https://doi.org/10.1016/0263-8231(95)94361-V
Teng JG, Rotter JM (2004) Buckling of thin metal shells. CRC Press, London
Dassault Systémes Simulia Corp (2013) Abaqus users, Ver. 6.13–2. Dassault Systémes Simulia Corp., Providence
Ma H, Jiao P, Li H, Cheng Z, Chen Z (2023) Buckling analyses of thin-walled cylindrical shells subjected to multi-region localized axial compression: experimental and numerical study. Thin-Walled Struct 183:110330. https://doi.org/10.1016/j.tws.2022.110330
Friedrich L, Schröder KU (2016) Discrepancy between boundary conditions and load introduction of full-scale built-in and sub-scale experimental shell structures of space launcher vehicles. Thin-Walled Struct 98:403–415. https://doi.org/10.1016/j.tws.2015.10.007
Yamada S, Croll JGA (1999) Contributions to understanding the behavior of axially compressed cylinders. J Appl Mech 66(2):299–309. https://doi.org/10.1115/1.279104
Acknowledgements
This work was supported by research on the Korea Space Launch Vehicle (KSLV-II) funded by the Ministry of Science and ICT (MSIT, Korea). The work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2022M1A3B8076744). The work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2022M1A3B8076744).
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Sim, CH., Kim, DY., Jeon, MH. et al. Investigation of Buckling Knockdown Factors for Pressurized Metallic Cylinders Using Various Numerical Modeling Techniques of Initial Imperfections. Int. J. Aeronaut. Space Sci. 25, 698–715 (2024). https://doi.org/10.1007/s42405-023-00667-4
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DOI: https://doi.org/10.1007/s42405-023-00667-4