Optimal Design of Safety Valve Spring

In this paper, it aiming at the functional features of containerization canning safety valves adopts the method of design of experiments (DOE) to conduct fast modeling on the working conditions of the safety valve spring, and cites the means of multi-objective optimization to optimize the spring designs, minimizing the maximum inner shear stresses of its winding coils and its weights. In the process of the study, a parametric finite-element spring model with three variable parameters has been used to generate arbitrary spring shapes within the pre-set scope of spring shapes.By the V-Optimal method, it generates a DOE input matrix with 30 input points. It obtains a two-third-order polynomial regression model through analyses and calculations, which can fully reflect the regression characteristics of the shear stresses and the weights of springs. This study shows that by means of DOE and multi-objective optimization, it enables to quickly design and optimize on safety valve springs.

References

[1] V. M. Goritskii, G. S. Deren, D. P. Khromov, An Analysis of the Cause of Failure of Safety Valve Springs,. Chemical and Petroleum Engineering, 1994, Vol. 30, Nos. 3-4, UDC 621. 646. 4-272. 001. 5.

DOI: https://doi.org/10.1007/bf01149786

[2] Zengxiang Wang, Xianying Wei, and Xiangzhi Liu, Spring Design Manual,. Shanghai Science and Technology Literature Press, July 1986 first edition.

[3] A. M. Wahl, Stress in Heavy Closely Coiled Helical Springs, Trans,. ASME, APM-51-17, 185, (1929).

[4] A. M. Wahl, Mechanical Springs 2nd Edition,. McGraw-Hill, 241, (1963).

[5] O. Göhner, Die Berechnung Zylindrischer Schraubenfendern,. Z. VDI, Bd76, 169, (1932).

[6] P. Henrici, On Helical Spring of Finite Thickness,. Quat. J. Appl. Mech., Vol. XIII, No. 1, 106, (1955).

[7] M. Bergsträsser, Die Berechnung Zylindrischer Schraubenfedern,. Z. VDI, Bd77, 198, (1933).

[8] GB/T 1239. 6—92, Calculation of Cylindrical Helical Spring Design, (1992).

[9] K. Watanabe, H. Yamamoto, Y. Ito, H. Isobe, Simplified Stress Calculation Method For Helical Spring.

[10] Liang Li and Shufang Liu, Finite Element Discretization Method and Adaptive Analysis,. Northeast University Press, 1998, ISBN 781054376.

[11] Shuxiang Guo, Adaptive Finite Element Method and Its Engineering Applications,. Advances in Mechanics, Volume 27 No. 4, (1997).

[12] GB/T 1358-93, Cylindrical Helical Spring Dimensions Series, (1993).

[13] A. C. Atkinson, V. V. Fedorov, Optimal Design : Experiments for Discriminating between Several Models,. Biometrika 62(2): 289-303, (1975).

DOI: https://doi.org/10.1093/biomet/62.2.289

[14] I. Das, J. Dennis, Normal-boundary Intersection: An Alternate Method for Generating Pareto Optimal Points in Multicriteria Optimization Problems,. ICAS Report No. 96-62, (1996).