Discussion on ‘Reconstructed Formulas Calculating Bursting Pressures of the Special Spherical Pressure Vessels Based on Experimental Data’

LIU Xiao-ning; LIU Cen; ZHANG Hong-wei; LIU Bing; YUAN Xiao-hui; YANG Fan

doi:10.3879/j.issn.1000-0887.2016.05.010

Volume 37 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(5): 542-550

LIU Xiao-ning, LIU Cen, ZHANG Hong-wei, LIU Bing, YUAN Xiao-hui, YANG Fan. Discussion on ‘Reconstructed Formulas Calculating Bursting Pressures of the Special Spherical Pressure Vessels Based on Experimental Data’[J]. Applied Mathematics and Mechanics, 2016, 37(5): 542-550. doi: 10.3879/j.issn.1000-0887.2016.05.010

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Discussion on ‘Reconstructed Formulas Calculating Bursting Pressures of the Special Spherical Pressure Vessels Based on Experimental Data’

doi: 10.3879/j.issn.1000-0887.2016.05.010

¹School of Mechanical Engineering, Wuhan Vocational College of Software and Engineering, Wuhan 430205, P.R.China;²Wuchuan Heavy Engineering Co., Ltd., Wuhan 430415, P.R.China

Received Date: 2015-12-07
Rev Recd Date: 2016-02-07
Publish Date: 2016-05-15

Abstract

Abstract

In order to provide a basis for the comparison, selection and determination of the appropriate burst pressure calculation formulas for steel spherical vessels, the indexes of accuracy and concentration for the precision evaluation of the calculation formulas were established. By means of 59 groups of measured data, the precisions of 4 different burst pressure calculation formulas were analyzed. The discussion gives conclusions as follow: the formula’s average accuracy ratio (the ratio of the calculated burst pressure value to the measured value) and the coefficient of variation can be reasonably treated as the indexes of accuracy and concentration for the formula’s precision evaluation, respectively; for multi-layer spherical vessels, the average accuracy ratio of the mid-diameter formula is 0.977 0 and the coefficient of variation is 0.035 4, with the yield ratios of the vessel wall materials ranging from 0.720 9 to 0.847 5 and the diameter ratios ranging from 1.053 to 1.107; for single-layer spherical vessels, the average accuracy ratio of the mid-diameter formula is 1.169 1 and the coefficient of variation is 0.108 3, with the yield ratios of the vessel wall materials ranging from 0.336 2 to 0.618 9 and the diameter ratios ranging from 1.109 to 1.257; compared with the results out of the other 3 formulas, the burst pressures calculated with the mid-diameter formula for steel thin-walled multi-layer spherical vessels are more precise, the burst pressures calculated with the mid-diameter formula for steel thin-walled single-layer spherical vessels are more concentrated.
- spherical vessel,
- burst pressure,
- calculation formula,
- precision,
- accuracy,
- concentration,
- evaluation

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References(15)

References

[1]	中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会. 压力容器: GB 150.1-150.4—2011[S]. 北京: 中国标准出版社, 2012: 94-95.(General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China, Standardization Administration of the People’s Republic of China. Pressure vessels: GB 150.1-150.4—2011[S]. Beijing: Chinese Standard Press, 2012: 94-95.(in Chinese))
[2]	中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会. 钢制球形贮罐: GB 12337—2014[S]. 北京: 中国标准出版社, 2014.(General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China, Standardization Administration of the People’s Republic of China. Steel spherical tanks: GB 12337—2014[S]. Beijing: Chinese Standard Press, 2014.(in Chinese))
[3]	邵国华, 魏兆灿. 超高压容器[M]. 北京: 化学工业出版社, 2002: 20-36.(SHAO Guo-hua, WEI Zhao-can. Super High Pressure Vessel [M]. Beijing: Chemical Industry Press, 2002: 20-36.(in Chinese))
[4]	朱学政, 陈国理. 高压容器爆破压力的计算[J]. 石油化工设备技术, 1995,16(1): 23-26.(ZHU Xue-zheng, CHEN Guo-li. Calculation of explosive pressure for high pressure vessels[J].Petro-Chemical Equipment Technology,1995,16(1): 23-26.(in Chinese))
[5]	柳爱群, 杨中, 杨烨. 圆筒形压力容器爆破压力经验公式的改进[J]. 机械强度, 2013,35(5): 652-656.(LIU Ai-quan, YANG Zhong, YANG Ye. Amendment of empirical formulas calculating bursting pressure of cylindrical vessels[J]. Journal of Mechanical Strength,2013,35(5): 652-656.(in Chinese))
[6]	郑津洋, 匡继勇, 徐平, 王乐勤, 李东晖. 多层超高压容器爆破压力研究[J]. 化工机械, 1994,21(5): 271-277.(ZHENG Jin-yang, KUANG Ji-yong, XU Ping, WANG Le-qin, LI Dong-hui. Study of bursting pressure of multilayered super-high pressure vessels[J]. Chemical Engineering & Machinery,1994,21(5): 271-277.(in Chinese))
[7]	柳爱群, 尹益辉, 刘兴福. 基于实测数据的特种球形压力容器爆破压力计算公式[J]. 应用数学和力学, 2014,35(11): 1232-1238.(LIU Ai-quan, YIN Yi-hui, LIU Xing-fu. Reconstructed formulas calculating bursting pressures of the special spherical pressure vessels based on experimental data [J].Applied Mathematics and Mechanics,2014,35(11): 1232-1238.(in Chinese))
[8]	蒲原秀明. 多层封头的强度[J]. 麦春生, 译. 化工与通用机械, 1976(12): 50-60.(Hideaki K. The strength of the multilayer head[J]. MAI Chun-sheng, transl. Chemical and General Machinery,1976(12): 50-60.(in Chinese))
[9]	刘小宁, 刘岑, 张红卫, 吴元祥, 刘兵, 陈刚. 球形容器静强度的分布规律与参数[J]. 压力容器, 2012,29(8): 26-30.(LIU Xiao-ning, LIU Cen, ZHANG Hong-wei, WU Yuan-xiang, LIU Bing, CHEN Gang. Distribution law and parameters of spherical vessels static strength[J]. Pressure Vessel Technology,2012,29(8): 26-30.(in Chinese))
[10]	XU Shu-gen, WANG Wei-qiang, SONG Ming-da, LI Meng-li, TANG Jun. Modified formulation of layer stresses due to internal pressure of a layered vessel with interlayer gaps[J].Journal of Pressure Vessel Technology,2010,132(5): 051201-1-051201-8.
[11]	XU Shu-gen, WANG Wei-qiang. Analysis on elastoplastic stress distribution in a layered cylindrical vessel with interlayer gaps[J]. Journal of Pressure Vessel Technology,2012,134(3): 031206-1-031206-5.
[12]	刘智敏. 误差与数据处理[M]. 北京: 原子能出版社, 1981.(LIU Zhi-min. Errors and Data Processing [M]. Beijing: Atomic Energy Press, 1981.(in Chinese))
[13]	刘小宁, 刘岑, 张红卫, 刘兵, 袁小会, 陈刚. 单层与多层球形容器爆破压力的概率分布[J]. 武汉工程大学学报, 2015,37(7): 49-54.(LIU Xiao-ning, LIU Cen, ZHANG Hong-wei, LIU Bing, YUAN Xiao-hui, CHEN Gang. Probability distribution of burst pressure in single-layer and multi-layer spherical vessel[J]. Journal of Wuhan Institute of Technology,2015,37(7): 49-54.(in Chinese))
[14]	刘小宁, 刘岑, 吴元祥, 刘兵, 袁小会. 超高压圆筒形容器爆破压力计算公式的比较[J]. 机械强度, 2015,37(2): 373-376.(LIU Xiao-ning, LIU Cen, WU Yuan-xiang, LIU Bing, YUAN Xiao-hui. Burst pressure caculation formula compare of super-high pressure cylinder vessel[J]. Journal of Mechanical Strength,2015,37(2): 373-376.(in Chinese))
[15]	金乘武, 王立忠, 张永强. 薄壁管道爆破压力的强度差异效应与强度准则影响[J]. 应用数学和力学, 2012,33(11): 1266-1274.(JIN Cheng-wu, WANG Li-zhong, ZHANG Yong-qiang. Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines[J]. Applied Mathematics and Mechanics,2012,33(11): 1266-1274.(in Chinese))