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Effect of the Rise/Span Ratio of a Spherical Cap Shell on the Buckling Load

Authors: Peter N. Khakina, Mohammed I. Ali, Enchun Zhu, Huazhang Zhou, Baydaa H. Moula


Rise/span ratio has been mentioned as one of the reasons which contribute to the lower buckling load as compared to the Classical theory buckling load but this ratio has not been quantified in the equation. The purpose of this study was to determine a more realistic buckling load by quantifying the effect of the rise/span ratio because experiments have shown that the Classical theory overestimates the load. The buckling load equation was derived based on the theorem of work done and strain energy. Thereafter, finite element modeling and simulation using ABAQUS was done to determine the variables that determine the constant in the derived equation. The rise/span was found to be the determining factor of the constant in the buckling load equation. The derived buckling load correlates closely to the load obtained from experiments.

Keywords: Buckling, Finite element, Rise/span ratio, Sphericalcap

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[1] E. C. Zhu, Z. W. Guan, P. D. Rodd and D. J. Pope, "Buckling of Oriented Strand Board Webbed Wood I-Joists", J. Struct Eng., vol 131(10), 2005, pp. 629-1636.
[2] G. Forasassi and R. Frano, "Curved thin shell buckling behavior", J. Achievements in Materials and Manufacturing Eng., Vol. 23(2), 2007, pp. 55-58.
[3] S. P. Timoshenko and J.M. Gere, "Theory of elastic stability". London: McGraw-Hill Book Company; 1963.
[4] J. H. Prevost, D. P. Billington, R. Rowland and C. C. LIM, "Buckling of Spherical dome in a centrifuge", Exp. Mech., 1984, pp. 203-207.
[5] S. Narayanan, Space structures: Principles and practice. Brentwood: Multi-Science publishing Co. Ltd, 2006.
[6] L. D. Landau and E. M. Lifshitz, "Theory of Elasticity". Oxford: Butterworth-Heinemann, 1986.
[7] L. Xifu, Z. Tao and Z. Chunxiang, "Theoretical Mechanics". Harbin: Harbin Institute of Technology press, 2007.
[8] E. R. Champion, "Finite Element Analysis in manufacturing Engineering: APC- Based approach". New York: McGraw-Hill, Inc., 1992.
[9] F. Fan, Z. Cao, and S. Shen, "Elasto-plastic stability of single-layer reticulated shells", Thin walled Struct. vol 48, 2010, pp. 827-836.
[10] Hibbit, Karlsson & Sorensen Inc. ABAQUS theory manual Version 6.1. 2000.
[11] Hibbit, Karlsson & Sorensen Inc. ABAQUS user-s manual Version 6.1. 2000.
[12] H. Z. Zhou, F. Fan, E. C. Zhu, "Buckling of reticulated laminated veneer lumber shells in consideration of the creep", Eng. Struct. Vol 32, 2010, pp. 2912-18.
[13] M. Barski, "Optimal design of shells against buckling subjected to combined Loadings", Struct. Multidisc Optim. Vol 31, 2006, pp. 211-222.
[14] G. J. Teng, "Buckling of thin shells: Recent advances and trends", Appl. Mech. vol 49, 1996, pp. 263-274.
[15] C. Y. Chia, "Buckling of Thin Spherical Shells", Ingenieur-Archiv, vol 40, 1971, pp. 227-237.
[16] E. Zhu, P. Mandal and C. R. Calladine, "Buckling of thin cylindrical shells: An attempt to resolve a paradox", Int. J. Mech. Sci., vol 44, 2002, pp. 1583-601.
[17] L. Kollar and E. Dulacska, "Buckling of shells for engineers". London: John Willey & sons, 1884.