Research Papers: Design and Analysis

Buckling of Cylindrical Steel Tanks With Oblique Body Imperfection Under Uniform External Pressure

[+] Author and Article Information
Mehdi Rastgar

Department of Civil Engineering,
Urmia University,
Urmia 5756151818, Iran
e-mail: m.rastgar@urmia.ac.ir

Hossein Showkati

Department of Civil Engineering,
Urmia University,
Urmia 5756151818, Iran
e-mail: h.showkati@urmia.ac.ir

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 16, 2017; final manuscript received August 27, 2017; published online September 18, 2017. Editor: Young W. Kwon.

J. Pressure Vessel Technol 139(6), 061203 (Sep 18, 2017) (11 pages) Paper No: PVT-17-1053; doi: 10.1115/1.4037808 History: Received March 16, 2017; Revised August 27, 2017

Shell structures are built using a number of welded curved panel parts. Hence, some geometrical imperfections emerge. These imperfections have a direct impact on structural behavior of shells during the external compressive loading. In this research, a field study was accomplished on the implementation of the storage tanks in a refinery site, and then the resulted imperfections were identified and categorized. The survey of imperfections revealed that imperfection resulted from deviation with respect to the vertical direction has the highest number in tank bodies. This imperfection experimentally modeled, and the buckling behavior of these tanks was evaluated under uniform external pressure. The cylindrical tanks were examined using finite element analysis, and results obtained were compared with experimental results. Investigation of finding results demonstrated that such imperfection has a significant role in reducing the number of circumferential waves in body of the tanks under uniform external pressure. Comparing the results obtained by estimation, American Society of Mechanical Engineers (ASME) code, experimental research, and finite element method (FEM) represented a considerable difference in the amount of buckling load. Results show that tanks with oblique body imperfections exhibit high initial strength against buckling due to the uniform external pressure.

Copyright © 2017 by ASME
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Farshad, M. , 1983, Stability of Structures, 2nd ed., McGraw-Hill, New York. [PubMed] [PubMed]
Teng, J. G. , 1996, “ Buckling of Thin Shells: Recent Advances and Trends,” ASME Appl. Mech. Rev., 49(4), pp. 263–274. [CrossRef]
Showkati, H. , and Ansourian, H. , 1996, “ Influence of Primary Boundary Condition on the Buckling of Shallow Cylindrical Shells,” J. Constr. Steel Res., 36(1), pp. 53–75. [CrossRef]
Wang, J. H. , and Koizumi, A. , 2010, “ Buckling of Cylindrical Shells With Longitudinal Joints Under External Pressure,” J. Thin-Walled Struct., 48(12), pp. 897–904. [CrossRef]
Chen, L. , Rotter, J. M. , and Doerich, C. , 2011, “ Buckling of Cylindrical Shells With Stepwise Variable Wall Thickness Under Uniform External Pressure,” J. Eng. Struct., 33(12), pp. 3570–3578. [CrossRef]
Aghajari, S. , Showkati, H. , and Abedi, K. , 2011, “ Experimental Investigation on the Buckling of Thin Cylindrical Shells With Two-Stepwise Variable Thickness Under External Pressure,” Int. J. Struct. Eng. Mech., 39(6), pp. 849–860. [CrossRef]
Jalili, S. , Zamani, J. , Shariyat, M. , Jalili, N. , Ajdari, M. A. B. , and Jafari, M. , 2014, “ Experimental and Numerical Investigation of Composite Conical Shells' Stability Subjected to Dynamic Loading,” J. Struct. Eng. Mech., 49(5), pp. 555–568. [CrossRef]
Ghazijahani, T. G. , Jiao, H. , and Holloway, D. , 2015, “ Longitudinally Stiffened Corrugated Cylindrical Shells Under Uniform External Pressure,” J. Constr. Steel Res., 110, pp. 191–199. [CrossRef]
Vinson, J. R. , 1998, The Behavior of Thin Walled Structures: Beams, Plates and Shells (Mechanics of Surface Structures, Vol. 8), Springer, Dordrecht, The Netherlands.
Calladine, C. R. , 1995, “ Understanding Imperfection-Sensitivity in the Buckling of Thin-Walled Shells,” J. Thin-Walled Struct., 23(4), pp. 215–235. [CrossRef]
Teng, J. G. , Lin, X. , Rotter, J. M. , and Ding, X. L. , 2005, “ Analysis of Geometric Imperfections in Full-Scale Welded Steel Silos,” J. Eng. Struct., 27(6), pp. 938–950. [CrossRef]
Hubner, A. , Teng, J. G. , and Saal, H. , 2006, “ Buckling Behavior of Large Steel Cylinders With Patterned Welds,” Int. J. Pressure Vessels Piping, 83(1), pp. 13–26. [CrossRef]
Lo Frano, R. , and Forasassi, G. , 2009, “ Experimental Evidence of Imperfection Influence on the Buckling of Thin Cylindrical Shell Under Uniform External Pressure,” J. Nucl. Eng. Des., 239(2), pp. 193–200. [CrossRef]
Maali, M. , Showkati, H. , and Fatemi, S. M. , 2012, “ Investigation of the Buckling Behavior of Conical Shells Under Weld-Induced Imperfections,” J. Thin-Walled Struct., 57(8), pp. 13–24. [CrossRef]
Yang, L. , Chen, Z. , Chen, F. , Guo, W. , and Cao, G. , 2013, “ Buckling of Cylindrical Shells With General Axisymmetric Thickness Imperfections Under External Pressure,” Eur. J. Mech. A, 38, pp. 90–99. [CrossRef]
Fatemi, S. M. , Showkati, H. , and Maali, M. , 2013, “ Experiments on Imperfect Cylindrical Shells Under Uniform External Pressure,” J. Thin-Walled Struct., 65, pp. 14–25. [CrossRef]
Khaled El-Sawy, M. , 2013, “ Inelastic Stability of Liners of Cylindrical Conduits With Local Imperfection Under External Pressure,” J. Tunneling Underground Space Technol., 33, pp. 98–110. [CrossRef]
Ghazijahani, T. G. , Jiao, H. , and Holloway, D. , 2014, “ Experiments on Dented Cylindrical Shells Under Peripheral Pressure,” J. Thin-Walled Struct., 84, pp. 14–25. [CrossRef]
Thompson, J. M. T. , 2015, “ Advances in Shell Buckling: Theory and Experiment,” Int. J. Bifurcation Chaos, 25(1), p. 1530001. [CrossRef]
Cao, G. , Chen, Z. , Yang, L. , Fan, H. , and Zhou, F. , 2014, “ Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression,” ASME J. Pressure Vessel Technol., 137(1), p. 011201. [CrossRef]
Lee, A. , Jimenez, F. L. , Marthelot, J. , Hutchinson, J. W. , and Reis, P. M. , 2016, “ The Geometric Role of Precisely Engineered Imperfections on the Critical Buckling Load of Spherical Elastic Shells,” ASME J. Appl. Mech., 83(11), p. 111005. [CrossRef]
Evkin, A. , Kolesnikov, M. , and Prikazchikov, D. A. , 2016, “ Buckling of a Spherical Shell Under External Pressure and Inward Concentrated Load: Asymptotic Solution,” J. Math. Mech. Solids, 22(6), pp. 1425–1437. [CrossRef]
Hutchinson, J. W. , and Thompson, J. M. T. , 2017, “ Nonlinear Buckling Behavior of Spherical Shells: Barriers and Symmetry-Breaking Dimples,” Philos. Trans. R. Soc. A, 375(2093), p. 20160154.
Jawad, M. H. , 1994, Theory and Design of Plate and Shell Structures, 1st ed., Chapman & Hall, London. [CrossRef]
Brush, D. O. , and Almorth, B. O. , 1975, Buckling of Bears Plates and Shells, McGraw-Hill, New York.
ASME, 1992, “ American Society of Mechanical Engineers, Boiler and Pressure Vessel Code Section VIII, Rules for Construction for Pressure Vessels, Division 1,” American Society of Mechanical Engineers, New York.


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Fig. 1

Load–axial displacement graph of columns, flat plates, and cylindrical shells in perfect and imperfect states [9]

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Fig. 5

Frequency distribution graph of the imperfection types in all tanks

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Fig. 4

Types of observed imperfections in the field study of tanks

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Fig. 3

Circumferential sheets installation process in the body of tank and generation of different imperfections

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Fig. 6

Imperfection type (f) (oblique body imperfection)

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Fig. 7

Experimental specimens

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Fig. 11

Installation of measurement devices on the experimental specimen

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Fig. 12

Schematic view of all installed sensors with location of imperfection and failure

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Fig. 13

(a) Full buckling of Spec1 and instability threshold and (b) failure of the Spec1

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Fig. 8

Measurement of intentional imperfection value

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Fig. 10

A view of the laboratory equipment's and experimental specimen

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Fig. 9

(a) The three samples, (b) tensile test, and (c) stress–strain diagram of material

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Fig. 15

(a) Full buckling of Spec3 and instability threshold and (b) failure of the Spec3

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Fig. 21

Comparison of experiment, FEM, theory, and ASME results for buckling behavior of all specimens

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Fig. 16

Circumferential strain diagram of three specimen tanks at the failure location

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Fig. 14

(a) Full buckling of Spec2 and instability threshold and (b) failure of the Spec2

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Fig. 20

Load–deformation graph of the FEM models for all specimens at the unstable point

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Fig. 17

Radial displacement of the tanks' body at the unstable location

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Fig. 18

Finite element models of three specimens in ANSYS software

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Fig. 19

Full buckling of the finite element method (FEM) models and created deformations in the nonlinear state



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