A Comparative Study between Numerical and Analytical Approaches to Load Carrying Capacity of Conical Shells under Axial Loading

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2017 by IJETT Journal
Volume-52 Number-1
Year of Publication : 2017
Authors : Haluk Y?lmaz, Erdem Özyurt, Petr Tomek
DOI :  10.14445/22315381/IJETT-V52P201

Citation 

Haluk Y?lmaz, Erdem Özyurt, Petr Tomek "A Comparative Study between Numerical and Analytical Approaches to Load Carrying Capacity of Conical Shells under Axial Loading", International Journal of Engineering Trends and Technology (IJETT), V52(1),1-6 October 2017. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

Abstract
In this study, loss of stability of the truncated conical shell structures under axial loading was investigated. Analytical calculations were made by means of analytical expressions derived from the linear theory. These expressions are presented in previous studies in the literature and so in ECCS regulations. A numerical study was performed with two finite element package programs; Cosmos/M and Abaqus. In all numerical simulations, nonlinear geometry effect was considered (GNA – Geometrically nonlinear analysis). Conical shells with a semi-vertex angle in the range of 10-80° and shell thickness in the range of 0.6-1mm were modeled. All results from both analytical and numerical studies were compared. Furthermore, an empirical expression which evaluates the load carrying capacity of the presented conical shells was exhibited in terms of the dimensionless parameter.

Reference
[1] ECCS TC8 TWG 8.4 “Buckling of Steel Shells”, European Design Recommendations, 5th Edition, Published by ECCS, ISBN: 92-9147-000-92, 2008.
[2] EN 1993-1-6 Eurocode 3: “Design of Steel Structures - Part 1-6: Strength and Stability of Shell Structures”, Published by The European Union, ISBN: 978 0 580 50669 7, 2007.
[3] P. Seide, “Axisymmetric buckling of circular cones under axial compression” Journal of Applied Mechanics, vol. 23, 1956.
[4] V. I. Weingarten, E. J. Morgan, P. Seide, "Elastic stability of thin-walled cylindrical and conical shells under axial compression", AIAA Journal, 3(3), 500-505, 1965.
[5] J. Tani, N. Yamaki, “Buckling of truncated conical shells under axial compression”, AIAA Journal, 8(3), 568-571, 1970.
[6] N. Pariatmono, M. K. Chryssanthopoulos “Asymmetric elastic buckling of axially compressed conical shells with various end conditions”, AIAA Journal, 33(11), 1995.
[7] Marios K. Chryssanthopoulos, C. Poggi, A. Spagnoli, “Buckling design of conical shells based on validated numerical models”, Thin-Walled Structures, 31, 257–270, 1998.
[8] C. Thinvongpituk, H. El-Sobky, “The effect of end conditions on the buckling load characteristic of conical shells subjected to axial loading”, ABAQUS Users’ Conference, 2003.
[9] M. Jabareen, I. Sheinman, “Effect of the nonlinear prebuckling state on the bifurcation point of conical shells”, International Journal of Solids and Structures, 43, 2146– 2159, 2006.
[10] J. B?achut, O. Ifayefunmi, M. Corfa, “Collapse and buckling of conical shells”, Twenty-first International Offshore and Polar Engineering Conference, 2011.
[11] O. Ifayefunmi, J. B?achut, “Combined stability of unstiffened cones e Theory, experiments and design codes”, International Journal of Pressure Vessels and Piping, 93-94, 57-68, 2012.
[12] O. Ifayefunmi “Interactive buckling tests on steel cones subjected to axial compression and external pressure – a comparison of experimental data and design codes” Ships and Offshore Structures, 9:6, 669-679, 2014.
[13] COSMOS/M User’s Guide. Structural Research and Analysis Corporation. 2001.
[14] Simulia, D. S. Abaqus 6.13 Analysis User’s Guide. Dassault Systems, Providence, RI 2013.

Keywords
Conical shell, Elastic buckling, Axial compression, Finite element method.