Title:
Effect of Horizontal Earthquake on Buckling of Concrete Domes
Author(s):
Nathalie E. Moreno Madueno, Mehdi Moslemi, and Reza Kianoush
Publication:
Structural Journal
Volume:
117
Issue:
4
Appears on pages(s):
243-253
Keywords:
buckling; earthquake; finite element; reinforced concrete; spherical shell; stability
DOI:
10.14359/51723524
Date:
7/1/2020
Abstract:
The buckling failure of reinforced concrete spherical shell structures under the effect of the horizontal component of earthquakes is investigated using the finite element method over a wide range of shell configurations. For this effect, two different loading case scenarios are considered; first, the shell is analyzed under the effect of vertical seismic component alone. Then, the model is reanalyzed under the same loading conditions plus the horizontal earthquake component, taking into account two different horizontal-to-vertical earthquake spectral ratios. It is concluded that including the horizontal component of earthquake can result in a slight reduction in the buckling capacity of this type of structures, the impact of which is highly influenced by the horizontal-to-vertical earthquake spectral ratio and shell geometry. It is also observed that the formulation adopted by ACI 372R slightly overestimates the buckling capacity of spherical shells, especially when horizontal seismic effects are included.
Related References:
1. Timoshenko, S. P., Theory of Elastic Stability, first edition, McGraw-Hill Book Company, Inc., New York, 1936.
2. Zoelly, R., “Ueber ein Knickungsproblem an der Kugelschale,” doctoral dissertation, ETH Zurich, Zurich, Switzerland, 1915.
3. Love, A. E. H., “The Small Free Vibrations and Deformation of a Thin Elastic Shell,” Philosophical Transactions of the Royal Society of London, V. 179, 1888, pp. 491-546.
4. Poisson, S. D., “Note sur l’Extension des Fils et des Plaques Élastiques,” Annales de Chimie et de Physique, V. 36, 1827, pp. 384-387.
5. Kirchhoff, G., “Über das Gleichgewicht und die Bewegung einer elastischen Scheibe,” Journal für die Reine und Angewandte Mathematik, V. 56, 1859, pp. 285-313.
6. Hooke, R., “Lectures de Potentia Restitutiva, or of Spring. Explaining the Power of Springing Bodies,” London, UK, 1678.
7. Donnell, L. H., “A New Theory for the Buckling of Thin Cylinders under Axial Compression and Bending,” Transactions of the American Society of Mechanical Engineers, V. 56, 1934, pp. 795-806.
8. Sechler, E. E., and Bollay, W., “Some Investigations of the General Instability of Stiffened Metal Cylinders,” California Institute of Technology, Pasadena, CA, 1939.
9. Carlson, R. L.; Sendelbeck, R. L.; and Hoff, N. J., “Experimental Studies of Buckling of Complete Spherical Shells,” Experimental Mechanics, V. 7, No. 7, 1967, pp. 281-288. doi: 10.1007/BF02327133
10. Von Karman, T., and Tsien, H., “The Buckling of Spherical Shells by External Pressure,” Journal of the Aeronautical Sciences, V. 7, No. 2, 1939, pp. 43-50. doi: 10.2514/8.1019
11. Krenzke, M. A., and Kiernan, T. J., “The Effect of Initial Imperfections on the Collapse Strength of Deep Spherical Shells,” Technical Report No. 1757, Department of the Navy, Washington, DC, 1965.
12. Bushnell, D., “Computerized Buckling Analysis of Shells,” Air Force Wright Aeronautical Laboratories, Wright-Patterson AFB, OH, 1981.
13. Zarghamee, M. S., and Heger, F. J., “Buckling of Thin Concrete Domes,” ACI Journal Proceedings, V. 80, No. 6, Nov.-Dec. 1983, pp. 487-500.
14. Ventsel, E., and Krauthammer, T., Thin Plates and Shells, CRC Press, Boca Raton, FL, 2001.
15. Mekjavić, I., “Buckling Analysis of Concrete Spherical Shells,” Tehnicki Vjesnik (Strojarski Fakultet), V. 18, 2011, pp. 633-639.
16. Farnsworth, D. B. Jr., “Behavior of Shell Structures,” master’s thesis, Massachusetts Institute of Technology, Cambridge, MA, 1999.
17. Vandepitte, D.; Rathe, D.; and Weyneis, G., 1980, “An Experimental Investigation into the Buckling and Creep Buckling of Shallow Spherical Caps Subjected to Uniform Radial Pressure,” IASS World Congress on Shell and Spatial Structures, V. 1, pp. 1-15.
18. Huang, N., “Unsymmetrical Buckling of Thin Shallow Spherical Shells,” Technical Report No. 15, Division of Engineering and Applied Physics, Harvard University, Cambridge, MA, 1963.
19. Hamed, E.; Bradford, M. A.; and Gilbert, R. I., “Nonlinear Long-Term Behaviour of Spherical Shallow Thin-Walled Concrete Shells of Revolution,” International Journal of Solids and Structures, V. 47, No. 2, 2010, pp. 204-215. doi: 10.1016/j.ijsolstr.2009.09.027
20. Hamed, E.; Bradford, M.; Gilbert, I.; and Chang, Z., “Analytical Model and Experimental Study of Failure Behavior of Thin-Walled Shallow Concrete Domes,” Journal of Structural Engineering, ASCE, V. 137, No. 1, 2011, pp. 88-99. doi: 10.1061/(ASCE)ST.1943-541X.0000274
21. ACI Committee 372, “Guide to Design and Construction of Circular Wire- and Strand-Wrapped Prestressed Concrete Structures, (ACI 372R-13),” American Concrete Institute, Farmington Hills, MI, 2013, 31 pp.
22. Gupta, P. K., and Gupta, N. K., “A Study of Axial Compression of Metallic Hemispherical Domes,” Journal of Materials Processing Technology, V. 209, No. 4, 2009, pp. 2175-2179. doi: 10.1016/j.jmatprotec.2008.05.004
23. Zolqadr, E., “Buckling of Spherical Concrete Shells,” MEng thesis, Department of Civil Engineering, Ryerson University, Toronto, ON, Canada, 2017.
24. Dassault Systèmes Simulia Corp, ABAQUS v2017, User’s Manual, Johnston, RI, 2016.
25. Bushnell, D., “Symmetric and Nonsymmetric Buckling of Finitely Deformed Eccentrically Stiffened Shells of Revolution,” AIAA Journal, V. 5, No. 8, 1967, pp. 1455-1462. doi: 10.2514/3.4219
26. ASCE/SEI 7-10, “Minimum Design Loads for Buildings and Other Structures,” American Society of Civil Engineers, Reston, VA, 2010.
27. USGS, “Earthquake Hazards—Hazards,” United States Geological Survey, Reston, VA, https://www.usgs.gov/natural-hazards/earthquake-hazards/hazards. (last accessed May 21, 2020)