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Research Papers: Design and Analysis

Dynamic Stress Analysis of Multilayered Structure With Radial Gaps of Cylindrical Pressure Vessel Under Plane Strain Conditions

[+] Author and Article Information
Huadong Liu

School of Chemical Engineering and Energy,
Zhengzhou University,
Zhengzhou 450001, China

Weiqiang Wang

School of Mechanical Engineering,
Shandong University,
Jinan 250061, China;
Engineering and Technology Research
Center for Special Equipment
Safety of Shandong Province,
Jinan 250061, China;
Research Center of Safety Guarantee
and Assessment to Special Equipment,
Shandong University,
Jinan 250061, China
e-mail: wqwang@zzu.edu.cn

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 14, 2017; final manuscript received March 15, 2019; published online May 13, 2019. Assoc. Editor: Yun-Jae Kim.

J. Pressure Vessel Technol 141(4), 041202 (May 13, 2019) (8 pages) Paper No: PVT-17-1231; doi: 10.1115/1.4043296 History: Received November 14, 2017; Revised March 15, 2019

Radial gaps were found in multilayered cylindrical vessels which experience inner explosion accidents in chemical plants in the past few years worldwide. It is necessary to investigate the dynamic response of multilayered structures with radial gaps to ensure the vessel safety. This paper presented a numerical modeling of the dynamic response of a multilayered structure with radial gaps of cylindrical pressure vessel under plane strain conditions by using the ANSYS/ls-dyna package. The effects of the dynamic loading profile and the radial gap height are considered in the investigation. The stress spatial distribution, the stress and the plastic deformation variation curves with time are emphatically analyzed. The results show that the stress variation of the entire loading process can be divided into four stages: the oscillation stage, the yield stage, the fast increase stage, and the redistribution stage. The layer stress distributes discontinuously at the gaps between layers and distributes unevenly in any single layer. The inner layer stress is not always larger than the outer layers' during the whole loading process. The effect of loading profile on the dynamic response is not as obvious as the gap height. As the gap height increases, the stress oscillation stage is suppressed and becomes shorter. While the loading recovers to the operation pressure, the stress and the plastic deformation of inner layers increases and vice versa for the outer layers.

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Figures

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Fig. 1

Schematic of multilayered structures

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Fig. 2

Radial gaps in a multilayered urea reactor

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Fig. 3

Simplified dynamic loading profiles: (a) single wave, (b) low–high wave, and (c) high–low wave

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Fig. 4

The multilayered model with gap height of 0.035 mm: (a) the geometry model, (b) the FE model, and (c) gap

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Fig. 5

Stress spatial distribution profiles along the radial direction under dynamic loading with single wave (0.035 mm): (a) t = 2.2 ms, (b) t = 3.3 ms, (c) t = 4.4 ms, (d) t = 222.2 ms, (e) t = 500 ms, (f) t = 548.9 ms, (g) t = 728.2 ms, (h) t = 1000.0 ms, and (i) t = 1100.0 ms

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Fig. 6

Stress variation curve with time under loading with single pressure wave

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Fig. 7

Plastic deformation time curves under loading with single pressure wave

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Fig. 8

The stress spatial distribution under loading with low–high waveform: (a) t = 200.2 ms and (b) t = 1200 ms

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Fig. 9

The stress spatial distribution under loading with high–low waveform: (a) t = 999.7 ms, (b) t = 1099.8 ms, and (c) t = 1200 ms

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Fig. 10

Stress time curves under loading with two pressure waveforms: (a) low–high waveform and (b) high–low waveform

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Fig. 11

Plastic deformation time curves under loading with two pressure waveforms: (a) low–high waveform and (b) high–low waveform

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Fig. 12

Stress spatial distribution under operation pressure with different gap heights: (a) 0.1 mm, (b) 0.2 mm, (c) 0.3 mm, and (d) 0.4 mm

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Fig. 13

Stress time curves with gap height of 0.2 mm

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Fig. 14

Plastic deformation time curves with gap height of 0.2 mm

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