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Research Papers: Design and Analysis

Calculating Failure Pressure Under Different Failure Modes in the Roof-to-Shell of a Vaulted Tank

[+] Author and Article Information
Yuqi Ding

College of Mechanical Science and Engineering,
Northeast Petroleum University,
Daqing 163318, Heilongjiang, China
e-mail: jslx2004@163.com

Jubao Liu

College of Mechanical Science and Engineering,
Northeast Petroleum University,
Daqing 163318, Heilongjiang, China
e-mail: jslx2000@163.com

Zengtao Chen

Mem. ASME
Department of Mechanical Engineering,
University of Alberta,
10-219 Donadeo ICE Building,
Edmonton, AB T6G 1H9, Canada
e-mail: Zengtao.Chen@ualberta.ca

Feng Qiu

College of Mechanical Science and Engineering,
Northeast Petroleum University,
Daqing 163318, Heilongjiang, China
e-mail: qiufeng1a2b3c@163.com

Qifa Lu

College of Mechanical Science and Engineering,
Northeast Petroleum University,
Daqing 163318, Heilongjiang, China
e-mail: 738393342@qq.com

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received June 10, 2016; final manuscript received January 31, 2017; published online March 10, 2017. Assoc. Editor: Akira Maekawa.

J. Pressure Vessel Technol 139(4), 041201 (Mar 10, 2017) (12 pages) Paper No: PVT-16-1095; doi: 10.1115/1.4035935 History: Received June 10, 2016; Revised January 31, 2017

In this study, two failure modes, yield buckling of the compression ring section and strength failure in the roof-to-shell of the tank, have been proposed for a vertical vaulted tank. The failure criteria of the two failure modes in the roof-to-shell of vault tanks are established via finite element analysis of three tanks of 640 m3, 3200 m3, and 6800 m3 in volume. The finite element models are built with axisymmetric elements and spatial multi-elements. Based on the strength failure criterion, the failure pressure formula in the vaulted tank roof-to-shell is derived. The maximum relative error between the theoretical calculation and numerical simulation is 9.7%. Finally, we verify the strength failure criterion through a tank failure test; the maximum relative error between the test and theoretical calculation is 9.6%. The failure pressure of both failure modes has been compared and analyzed. The failure pressure of the yield buckling in the compression ring section is about 1.65 times that of the strength failure in the roof-to-shell of the tank.

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References

Figures

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Fig. 4

Spatial finite element model

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Fig. 3

Two-node axisymmetric element model

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Fig. 2

Strength failure mode in the roof-to-shell of the tank

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Fig. 1

Local compression ring section yield buckling failure mode in the roof-to-shell of the tank

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Fig. 5

Von Mises stress distribution for tank no. 1 using the axisymmetric model in the roof-to-shell (loading condition 1): (a) yield of the compression ring section (criterion 1) and (b) strength failure (criterion 3)

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Fig. 6

Von Mises stress distribution for tank no. 1 using the spatial model in the roof-to-shell (loading condition 1): (a) yield of the compression ring section (criterion 1) and (b) strength failure (criterion 2)

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Fig. 7

Tank force diagram based on the shell theory with moments

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Fig. 8

Equivalent stress distribution at the dangerous paths (sections) in the roof-to-shell of the tanks

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Fig. 9

Schematic diagram of the experimental setup for the tank: 1—dynamic signal test system, 2—bottom support, 3—experimental tank model, 4—high-pressure hose, 5—pressure gauge, 6—reciprocating pump, and 7—reservoir

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Fig. 10

Experimental tank and testing devices

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Fig. 11

Strength failure in the roof-to-shell of the experimental tank

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Fig. 12

Local compression ring section yield buckling failure in the roof-to-shell of the experimental tank

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