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Buckling of axially compressed composite cylinders with geometric imperfections

  • Taheri-Behrooz, Fathollah (School of Mechanical Engineering, Iran University of Science and Technology) ;
  • Omidi, Milad (School of Mechanical Engineering, Iran University of Science and Technology)
  • Received : 2017.10.12
  • Accepted : 2018.11.12
  • Published : 2018.11.25

Abstract

Cylindrical shell structures buckle at service loads which are much lower than their associated theoretical buckling loads. The main source of this discrepancy is the presence of various imperfections which are created on the cylinder body during different processes as manufacturing, handling, assembling and machining. Many cylindrical shell structures are still designed against buckling based on the experimental data introduced by NASA SP-8007 as conservative lower bound curves. This study employed the numerical based Linear Buckling mode shape Imperfection (LBMI) method and modified it using a stochastic method to assess the effect of geometrical imperfections in more details on the buckling of cylindrical shells with and without the cutout. The comparison of results with those obtained from the numerical Simcple Perturbation Load Imperfection (SPLI) method for cylinders with and without cutout revealed a good correlation. The effect of two parameters of size and number of cutouts on the buckling load was investigated using the linear buckling and Modified LBMI methods. Results confirmed that in cylinders with a small cutout inserting geometrical imperfection using either SPLI or modified LBMI methods significantly reduced the value of the predicted buckling load. However, in cylinders with larger cutouts, the effect of the cutout is dominant, thus considering geometrical imperfection had a minor effect on the buckling loads predicted by both SPLI and modified LBMI methods. Furthermore, the modified LBMI method was employed to evaluate the combination effect of cutout numbers and size on the buckling load. It is shown that in small cutouts, an increasing in the cutout size up to a certain value resulted in a remarkable reduction of the buckling load, and beyond that limit, the buckling loads were constant against D/R ratios. In addition, the cutout number shows a more significant effect on decreasing the buckling load at small D/R ratios than large D/R ratios.

References

  1. Arbelo, M.A., Herrmann, A., Castro, S.G., Khakimova, R., Zimmermann, R. and Degenhardt, R. (2015), "Investigation of buckling behavior of composite shell structures with cutouts", Appl. Compos. Mater., 22(6), 623-636. https://doi.org/10.1007/s10443-014-9428-x
  2. Card, M.F. (1969), "The sensitivity of buckling of axially compressed fiber-reinforced cylindrical shells to small geometric imperfections", NASA TMX-61914.
  3. Castro, S.G., Zimmermann, R., Arbelo, M.A., Khakimova, R., Hilburger, M.W. and Degenhardt, R. (2014), "Geometric imperfections and lower-bound methods used to calculate knock-down factors for axially compressed composite cylindrical shells", Thin-Wall. Struct., 74, 118-132. https://doi.org/10.1016/j.tws.2013.08.011
  4. Composite Materials Handbook, MIL-HDBK-17-2F (2002), Polymer Matrix Composites Materials Properties, Volume 2.
  5. Degenhardt, R., Kling, A., Bethge, A., Orf, J., Karger, L., Zimmermann, R. and Calvi, A. (2010), "Investigations on imperfection sensitivity and deduction of improved knock-down factors for unstiffened CFRP cylindrical shells", Compos. Struct., 92(8), 1939-1946. https://doi.org/10.1016/j.compstruct.2009.12.014
  6. Donnell, L.H. (1934), "A new theory for the buckling of thin cylinders under axial compression and bending", Trans. Asme, 56(11), 795-806.
  7. Flugge, W. (1932), "Die stabilitat der Kreiszylinderschale", Ingenieur-Archiv, 3(5), 463-506. https://doi.org/10.1007/BF02079822
  8. Franke, W.D. (1987), "FMEA Fehlermglichkeits- und -einflu$\ss$analyse in der industriellen Praxis", Moderne Industrie, Landsberg, Germany.
  9. Godoy, L.A. and Flores, F.G. (2002), "Imperfection sensitivity to elastic buckling of wind loaded open cylindrical tanks", Struct. Eng. Mech., Int. J., 13(5), 533-542. https://doi.org/10.12989/sem.2002.13.5.533
  10. Guo, Z., Han, X., Guo, M. and Han, Z. (2015), "Buckling analysis of filament wound composite cylindrical shell for considering the filament undulation and crossover", Struct. Eng. Mech., Int. J., 55(2), 399-411. https://doi.org/10.12989/sem.2015.55.2.399
  11. Hilburger, M.W., Waas, A.M. and Starnes, Jr., J.H. (1998), "A numerical and experimental study of the response of selected compression-loaded composite shells with cutouts", Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, USA, AIAA 98-1768.
  12. Hilburger, M.W., Waas, A.M. and Starnes, J.H. (1999), "Response of composite shells with cutouts to internal pressure and compression loads", AIAA Journal, 37(2), 232-237. https://doi.org/10.2514/2.695
  13. Hilburger, M.W., Nemeth, M.P. and Starnes, J.H. (2006), "Shell buckling design criteria based on manufacturing imperfection signatures", AIAA Journal, 44(3), 654-663. https://doi.org/10.2514/1.5429
  14. Huhne, C., Rolfes, R., Breitbach, E. and Tessmer, J. (2008), "Robust design of composite cylindrical shells under axial compression-simulation and validation", Thin-Wall. Struct., 46(7), 947-962. https://doi.org/10.1016/j.tws.2008.01.043
  15. Hutchinson, J.W. and Koiter, W.T. (1970), "Postbuckling theory", Appl. Mech. Rev., 23(12), 1353-1366.
  16. Khayat, M., Poorveis, D. and Moradi, S. (2016), "Buckling analysis of laminated composite cylindrical shell subjected to lateral displacement-dependent pressure using semi-analytical finite strip method", Steel Compos. Struct., Int. J., 22(2), 301-321.
  17. Khot, N.S. (1968), "On the influence of initial geometric imperfections on the buckling and postbuckling behavior of fiber-reinforced cylindrical shells under uniform axial compression (No. AFFDL-TR-68-136)", Air force flight dynamics lab wright-oatterson AFB OH.
  18. Khot, N.S. and Venkayya, V.B. (1970), "Effect of fiber orientation on initial postbuckling behavior and imperfection sensitivity of composite cylindrical shells (No. AFFDL-TR-70-125)", Air force flight dynamics lab wright-oatterson AFB OH.
  19. Koiter, W.T. (1945), A Translation of the Stability of Elastic Equilibrium, Tech. Hooge School.
  20. Orifici, A. and Bisagni, C. (2013), "Perturbation-based imperfection analysis for composite cylindrical shells buckling in compression", Compos. Struct., 106, 520-528.
  21. Ravenhall, R. (1964), "Stiffness and buckling in filament-wound motors", J. Spacecr. Rockets, 1(3), 260-263. https://doi.org/10.2514/3.27648
  22. Seide, P., Weingarten, V.I. and Morgan, E.J. (1960), "The development of design criteria for elastic stability of thin shell structures (No. EM-10-26)", TRW Space Technology Labs Los Angeles, CA, USA.
  23. Shakouri, M., Spagnoli, A. and Kouchakzadeh, M.A. (2016), "Effects of imperfection shapes on buckling of conical shells under compression", Struct. Eng. Mech., Int. J., 60(3), 365-386. https://doi.org/10.12989/sem.2016.60.3.365
  24. Simulia, D.S. (2012), Abaqus 6.12 Analysis User's Manual, Providence, RI, USA.
  25. Tafreshi, A. (2002), "Buckling and post-buckling analysis of composite cylindrical shells with cutouts subjected to internal pressure and axial compression loads", Int. J. Press. Vessels Pip., 79(5), 351-359. https://doi.org/10.1016/S0308-0161(02)00026-1
  26. Taheri-Behrooz, F., Esmaeel, R.A. and Taheri, F. (2012), "Response of perforated glass/epoxy composite tubes subjected to axial compressive loading", Thin-Wall. Struct., 50, 174-181. https://doi.org/10.1016/j.tws.2011.10.004
  27. Tennyson, R.C. (1975), "Buckling of laminated composite cylinders: a review", Composites, 6(1), 17-24. https://doi.org/10.1016/0010-4361(75)90374-2
  28. Wagner, H.N.R., Huhne, C., Niemann, S. and Khakimova, R. (2017), "Robust design criterion for axially loaded cylindrical shells-Simulation and Validation", Thin-Wall. Struct., 115, 154-162. https://doi.org/10.1016/j.tws.2016.12.017
  29. Weingarten, V.I. and Seide, P. (1965), "Elastic stability of thinwalled cylindrical and conical shells under combined external pressure and axial compression", AIAA J., 3(5), 913-920. https://doi.org/10.2514/3.3015
  30. Winterstetter, T.A. and Schmidt, H. (2002), "Stability of circular cylindrical steel shells under combined loading", Thin-Wall. Struct., 40(10), 893-910. https://doi.org/10.1016/S0263-8231(02)00006-X