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Research Papers: Design and Analysis

A New Analytical Approach for Wire-Wound Frames Used to Carry the Loads of Pressure Vessel Closures

[+] Author and Article Information
M. Sedighi

e-mail: sedighi@iust.ac.ir

A. H. Jabbari

e-mail: a_jabbari@mecheng.iust.ac.ir
School of Mechanical Engineering,
Iran University of Science and Technology,
Tehran 16846-13114, Iran

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 11, 2012; final manuscript received May 20, 2013; published online October 7, 2013. Assoc. Editor: Haofeng Chen.

J. Pressure Vessel Technol 135(6), 061206 (Oct 07, 2013) (7 pages) Paper No: PVT-12-1093; doi: 10.1115/1.4025085 History: Received July 11, 2012; Revised May 20, 2013

Wire-winding technique is usually applied to increase strength to weight ratio, to improve the fatigue life and prevent rapid failure of structures with high sensitivity. Most of the relations, which are presented for wire-winding analysis, are specially introduced for wire-wound pressure vessels. The purpose of this paper is to present a new approach for stress analyzing in wire layers of wire-wound frames, which are subjected to tensile forces and used to carry the load from the closures of pressure vessels too. The required wire-winding force will be obtained based on constant effective stress in all layers at maximum applied force. In this work, after reviewing the theoretical background of wire-winding, a new approach called “constant effective stress theory” is presented. In comparison with previous published works, in this paper, the problem has been specially defined for a rectangular frame, the wire mantles have been considered as discrete elements, and Von Mises yield criterion is applied on the model at maximum applied force. The logical steps of this approach are done in four steps. First, the critical points of the wires are obtained. The maximum stress is defined according to Von Mises criterion. Then, tensile stress is obtained in all layers at working condition. In third step, tensile stress is calculated at nonworking condition, and finally, the required wire-winding force is obtained for all layers. The results are compared with Harkegard's theory and have been validated by finite element method. They show that the value of the required tensile stress during wire-winding will be reduced considerably. In addition, by assuming a final small gap at maximum applied force between frame members, yoke, and column, this stress would be reduced more. Furthermore, there is a very good agreement between the results of new approach and finite element method.

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References

Young, E. H., and Brownell, L. E., 1959, Process Equipment and Design, Wiley, New York.
Maksimov, L. Yu., 1964, “Design of Cylinder to Withstand High Internal Pressure,” Russ. Eng. J., 44, pp. 5–6.
Harkegard, G., 1980, “A Procedure for the Analysis of Wire-Wound Structure and Its Application to the Optimum Design of Vessel for High Pressure,” 4th International Conference on Pressure Vessel Technology, Sweden, London, pp. 374–379.
Talako, J., 1998, Structure and Analysis of Wound Pressure Vessel, Chapman & Hall, New York.
Fryer, D. M., and Havery, J. F., 1998, High Pressure Vessels, Chapman & Hall, New York.
Song, Y. H., Yan, Y. N., and Zhang, R. J., 2004, “Finite Element Analysis of the Prestress Wire-Winding Press,” Mater. Process. Technol., 151, pp. 255–257. [CrossRef]
Alegre, J. M., Bravo, P., Preciado, M., and Solaguren-Beascoa, M., 2010, “Simulation Procedure of High Pressure Vessels Using the Wire Winding Technique,” Eng. Failure Anal., 17, pp. 61–69. [CrossRef]
Alegre, J. M., Bravo, P. M., and Cuesta, I. I., 2010, “Fatigue Design of Wire-Wound Pressure Vessels Using ASME-API 579 Procedure,” Eng. Failure Anal., 17, pp. 748–759. [CrossRef]
ASME, 2007, API 579-1/ASME FFS-1, in Fitness-for-Service, ASME, New York.
Beer, F. P., Johnston, E. R., and DeWolf, J. T., 2001, Mechanics of Materials, 3rd ed., McGraw-Hill, New York.

Figures

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Fig. 1

Schematic view of wire-wound vessel cross section with a constant winding stress

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Fig. 2

Schematic of wire-wound frame

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Fig. 3

Typical geometry of wire-wound frames and its applied force

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Fig. 4

The flowchart of new approach procedure

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Fig. 5

Principal stresses direction in a wound wire

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Fig. 6

Schematic of frame structure

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Fig. 7

Results of Harkegard's theory and constant effective stress theory

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Fig. 8

The quarter of frame used for modeling

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Fig. 9

Stress distribution in frame and wire layers at working condition in MPa

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