Abstract
A knock-down factor is commonly used to take into account the obvious decline of the buckling load in a cylindrical shell caused by the inevitable imperfections. In 1968, NASA guideline SP-8007 gave knock-down factors which rely on a lower-bound curve taken from experimental data. Recent research has indicated that the NASA knock-down factors are inclined to produce very conservative estimations for the buckling load of imperfect shells, due to the limitations of the computational power and the experimental skills available five decades ago. A novel knock-down factor is proposed composed of two parts for the metallic stiffened cylinders. A deterministic study is applied to achieve the first part of the knock-down factor considering the measured geometric imperfection, the other types of imperfections are considered in the second part using a stochastic analysis. A smeared model is used to achieve the implementation of the measured geometric imperfection for the stiffened cylinder. This new robust and less conservative design for the stiffened cylinders is validated by using test results.
This is a preview of subscription content, access via your institution.
References
- 1
Chu G P, Li Z M. Postbuckling behavior of 3D braided rectangular plates subjected to uniaxial compression and transverse loads in thermal environments. Sci China Tech Sci, 2014, 57: 1439–1453
- 2
Hilburger M W, Starnes J H. Buckling behavior of compressionloaded composite cylindrical shells with reinforced cutouts. Int J Non-Linear Mech, 2006, 40: 1005–1021
- 3
Donnell L H. A new theory for the buckling of thin cylinders under axial compression and bending. ASME Trans, 1934, 56: 795–806
- 4
Donnell L H, Wan C. Effect of imperfections on buckling of thin cylinders and columns under axial compression. J Appl Mech, 1950, 17: 73–79
- 5
Khot N S. On the influence of initial geometric imperfections on the buckling and postbuckling behaviour of fiber-reinforced cylindricalshells under uniform axial compression. Air Force Flight Dynamics Laboratory, technical report AFFDL-TR-68-136. Ohio, 1968
- 6
Koiter W T. A Translation of the Stability of Elastic Equilibrium. Delft: Technische Hooge School, 1945
- 7
Weingarten V I, Seide P, Peterson J P. NASA SP-8007-buckling of thin-walled circular cylinders. NASA Space Vehicle Design Criteria-Structures. 1965 (revised 1968)
- 8
Seide P, Weingarten V I, Morgan E J. The development of design criteria for elastic stability of thin shell structures. Space Technology Laboratory (TRW Systems), 1960
- 9
Weingarten V I, Morgan E J, Seide P. Elastic stability of thin-walled cylindrical and conical shells under axial compression. AIAA J, 1965, 3: 500–508
- 10
Liang K, Ruess M, Abdalla M. The Koiter-Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures. Comput Methods Appl Mech Engrg, 2014, 279: 440–468
- 11
Liang K, Abdalla M, Gürdal Z. A Koiter-Newton approach for nonlinear structural analysis. Int J Numer Methods Engrg, 2013, 96: 763–786
- 12
Zhou J J, Pan J L, Leung C K Y, et al. Experimental study on mechanical behaviors of pseudo-ductile cementitious composites under biaxial compression. Sci China Techl Sci, 2013, 56: 963–969
- 13
Papadopoulos V, Papadrakakiss M. The effect of material and thickness variability on the buckling load of shells with random initial imperfections. Comput Methods Appl Mech Eng, 2005, 194: 1405–1426
- 14
Stull C J, Nichols J M, Earls C J. Stochastic inverse identification of geometric imperfections in shell structures. Comput Methods Appl Mech Eng, 2011, 200: 2256–2267
- 15
Zhang A Y, Lu H B, Zhang D X. Synergistic effect of cyclic mechanical loading and moisture absorption on the bending fatigue performance of carbon/epoxy composites. J Mater Sci, 2014, 49: 314–320
- 16
Zhang A Y, Lu H B, Zhang D X. Effects of voids on residual tensile strength after impact of hygrothermal conditioned CFRP laminates. Compos Struct, 2013, 95: 322–327
- 17
Castroa S G, Zimmermannb R, Arbeloa M A, et al. Exploring the constancy of the global buckling load after a critical geometric imperfection level in thin-walled cylindrical shells for less conservative knock-down factors. Thin Wall Struct, 2013, 72: 76–87
- 18
Huhne C, Rolfes R, Tessmer J. A new approach for robust design of composite cylindrical shells under axial compression. In: Proceedings of the International ESA Conference, Nordwijk, 2005
- 19
Huhne C, Rolfes R, Tessmer J. Robust design of composite cylindrical shells under axial compression-simulation and validation. Thin Wall Struct, 2008, 46: 947–962
- 20
Castroa S G, Zimmermannb R, Arbeloa M A, et al. Geometric imperfections and lower-bound methods used to calculate knock-down factors for axially compressed composite cylindrical shells. Thin Wall Struct, 2014, 74: 118–132
- 21
Wang S B, He C H. Weight control in design of space nuclear reactor system. Sci China Tech Sci, 2013, 56: 2594–2598
- 22
Liu X J, Wang C, Zhou Y H. Topology optimization of thermoelastic structures using the guide-weight method. Sci China Tech Scis, 2014, 57: 968–979
- 23
Brush D O, Almroth B O. Buckling of Bars, Plates, and Shells. New York: McGraw-Hill, Inc. Press, 1975. 12–20
Author information
Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liang, K., Zhang, Y., Sun, Q. et al. A new robust design for imperfection sensitive stiffened cylinders used in aerospace engineering. Sci. China Technol. Sci. 58, 796–802 (2015). https://doi.org/10.1007/s11431-015-5793-4
Received:
Accepted:
Published:
Issue Date:
Keywords
- knock-down factor
- NASA guideline SP-8007
- stiffened cylinder
- stochastic analysis
- smeared model