拓展设计公式应用范围的精度比较法
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摘要
为改进压力容器强度的设计方法,应用数理统计的假设检验理论,建立了拓展设计公式应用范围的精度比较法。基于52组钢制单层圆筒容器的实测爆破压力,比较了中径公式与Tresca公式的精度,根据精度不降低原理拓展了公式的应用范围。研究表明:(1)根据压力容器标准的应用实践,按设计压力分别确定设计公式的基准范围与拟拓展范围。(2)根据设计压力与实测爆破压力的关系,分别确定基准范围与拟拓展范围样本的爆破压力实测值。(3)显著度为0.05时,基准范围与拟拓展范围样本的实测爆破压力与设计公式计算值之比,分别是符合正态分布的随机变量。(4)中径公式在其拟拓展范围的精度与其基准范围的基本相同,Tresca公式在其拟拓展范围的精度高于其基准范围的。(5)将适用范围拓展到设计压力不超过100 MPa时,中径公式与Tresca公式的精度基本相同。
In order to improve the design method of pressure vessels strength,applying the theory of statistical hypothesis testing,the precision comparison method for design formula expansion applied range was established. Based on 52 groups of measured burst pressure of steel wall single-layer cylinder,the precision of mid-diameter formula with the Tresca formula was compared,and the application of formulas was extended according to the principle of no precision reduction. The research shows that:( 1) According to the design pressure,benchmark scope and plans to expand the scope of mid-diameter formula are determined,respectively.( 2) According to the relationship between design pressure and burst pressure,sample test data of measured burst pressure of the benchmark scope and plans to expand the scope are definite,respectively.( 3) At the saliency of0. 05,the ratio of the sample and mid-diameter formula calculated value is random variables with the normal distribution,respectively,which sample located in the benchmark scope and plans to expand the scope.( 4) The precision of mid-diameter formula in plans to expand the scope and the benchmark scope is same basically; the precision of Tresca formula in plans to expand the scope is higher than the benchmark scope.( 5) When suitable scope extended to the design pressure less than100 MPa,the precision of mid-diameter formula and Tresca formula is same basically.
In order to improve the design method of pressure vessels strength,applying the theory of statistical hypothesis testing,the precision comparison method for design formula expansion applied range was established. Based on 52 groups of measured burst pressure of steel wall single-layer cylinder,the precision of mid-diameter formula with the Tresca formula was compared,and the application of formulas was extended according to the principle of no precision reduction. The research shows that:( 1) According to the design pressure,benchmark scope and plans to expand the scope of mid-diameter formula are determined,respectively.( 2) According to the relationship between design pressure and burst pressure,sample test data of measured burst pressure of the benchmark scope and plans to expand the scope are definite,respectively.( 3) At the saliency of0. 05,the ratio of the sample and mid-diameter formula calculated value is random variables with the normal distribution,respectively,which sample located in the benchmark scope and plans to expand the scope.( 4) The precision of mid-diameter formula in plans to expand the scope and the benchmark scope is same basically; the precision of Tresca formula in plans to expand the scope is higher than the benchmark scope.( 5) When suitable scope extended to the design pressure less than100 MPa,the precision of mid-diameter formula and Tresca formula is same basically.
引文
[1]中华人民共和国国家标准.GB 150.1~150.4-2011.压力容器[S].北京:中国标准出版社,2012:3,5,94.National Standard of the People’s Republic of China.GB 150.1~150.4-2011.Pressure vessels[S].Beijing:Chinese Standard Press,2011:3;2011:5;2011:94(In Chinese).
[2]中华人民共和国行业标准.JB4732-1995.钢制压力容器-分析设计标准[S].北京:中国标准出版社,1995:1;1995:5;1995:36.Industry Standard of the People’s Republic of China.JB 4732-1995.Steel pressure vessels-design by analysis[S].Beijing:Chinese Standard Press,1995:1,5,36(In Chinese).
[3]黄泽,郑津洋,刘鹏飞,等.内压圆筒厚度计算公式分析讨论[J].压力容器,2012,29(8):18-21.HUANG Ze,ZHENG Ji Yang,LIU Peng Fei,et al.Discussion on thickness formula of cylindrical shell under internal pressure[J].Pressure Vessel Technology,2012,29(8):18-21(In Chinese).
[4]熊德之,张志军.概率论与数理统计及其应用[M].北京:科学出版社,2007:151-153;2007:261-266.XIONG De Zhi,ZHANG Zhi Jun.Application of Probability Theory and Mathematical Statistics[M].Beijing:Science Press,2007:151-153;2007:261-266(In Chinese).
[5]化学工程手册编辑委员会.化工应用数学[M].北京:化学工业出版社,1983:30-33;1983:372-374Editorial Board of Chemical Engineering Handbook.Chemical application mathematics[M].Beijing:Chemical Industry Press,1983:30-33;1983:372-374(In Chinese).
[6]徐灏.机械强度的可靠性设计[M].北京:机械工业出版社,1984:250-259.XU Hao.Mechanical strength reliability design[M].Beijing:Mechanical Industry Press,1984:250-259(In Chinese).
[7]张红卫,陈刚,刘岑,等.标准椭圆封头对薄壁内压圆筒承载能力的影响[J].武汉工程大学学报,2010,32(3):103-106.ZHANG Hong Wei,CHEN Gang,LIU Cen,et al.Standard elliptical dished head to thin wall internal pressure cylinder bearing capacity influence[J].Journal of Wuhan Institute of Technology,2010,32(2):103-106(In Chinese).
[8]刘小宁.钢制薄壁内压圆筒静强度的试验研究[J].化工设备与管道,2002,39(6):28-30.LIU Xiao Ning.Test research on steel thin-wall short cylinder Static strength at internal pressure[J].Process Equipment&Piping,2002,39(6):28-30(In Chinese).
[9]徐文举.液化石油气钢瓶爆破压力计算公式的探讨[J].化工机械,1993,20(3):161-162.XU Wen Ju.Discussion on calculation formula of LPG cylinder burst pressures[J].Chemical Engineering Machinery,1993,20(3):161-162(In Chinese).
[10]ZHENG Chuan Xiang.Estimate of bursting pressure of mild steel pressure vessel and presentation of bursting formula[J].Chinese Journal of Mechanical Engineering,2006,19(3):421-424.
[11]李生昌.压力容器爆破压力的确定[J].化工机械,1987,14(2):120-123.LI Sheng Chang.Determination of pressure vessel burst pressure[J].Chemical Engineering&Machinery,1987,14(2):120-123(In Chinese).
[12]郑传祥,文棋.低碳钢压力容器爆破试验及爆破压力公式研究[J].压力容器,2002,19(9):9-12.ZHENG Chuan Xiang,Wen Qi.Explosive experiment of mild steel pressure vessel and research on formula of explosive stress[J].Pressure Vessel Technology,2002,19(9):9-12(In Chinese).
[13]邵国华,魏龙灿.超高压容器[M].北京:化学工业出版社,2002:20-36.SHAO Guo Hua,WEI Long Can.Super high pressure vessel[M].Beijing:Chemical Industry Press,2002:20-36(In Chinese).
[14]刘小宁,刘岑,张红卫,等.对“基于实测数据的特种球形压力容器爆破压力计算公式”一文的商榷[J].应用数学和力学,2016,37(5):552-550.LIU Xiao Ning,LIU Cen,ZHANG Hong Wei,et al.Discussion on‘reconstructed formulas calculating bursting pressure of the special spherical pressure vessels based on experimental data’[J].Applied Mathematics and Mechanics,2016,37(5):552-550(In Chinese).
[15]刘小宁,刘岑,张红卫,等.薄壁球形容器爆破压力计算公式精度研究[J].压力容器.2016,33(3):32-38.LIU Xiao Ning,LIU Cen,ZHANG Hong Wei,et al.Calculation precision of burst pressure formulas for thin-walled spherical vessels[J].Pressure Vessel Technology,2016,33(3):32-38(In Chinese).
[16]刘小宁,刘岑,吴元祥,等.超高压圆筒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,et al.Burst pressure caculation formula compare of super-high pressure cylinder vessel[J].Journal of Mechanical Strength,2015,37(2):373-376(In Chinese).
[17]刘小宁,刘岑,刘兵,等.单层厚壁内压圆筒设计公式改进效果的可靠性研究[J].机械强度,2016,38(2):276-283.LIU Xiao Ning,LIU Cen,LIU Bing,et al.Improvement effect reliability research on single layer thick-walled internal pressure cylinder design formulas[J].Journal of Mechanical Strength,2016,38(2):276-283(In Chinese).
[18]刘小宁,刘岑,刘兵,等.承压容器爆破压力计算公式的评价方法研究[J].机械强度,2017,39(6):1419-1417.LIU Xiao Ning,LIU Cen,LIU Bing,et al.Study on the evaluation method of the pressure vessel burst pressure calculation formula[J].Journal of Mechanical Strength,2017,39(6):1419-1417(In Chinese).
[19]刘岑,吴元祥,刘兵,等.奥氏体不锈钢S30408抗拉强度分布规律的研究[J].河北工业科技,2016,32(1):34-37.LIU Cen,WU Yuan Xiang,LIU Bing,et al.Research in tensile strength distribution of austenitic stainless steel S30408[J].Hebei Journal of Industrial Science and Technology,2016,32(1):34-37(In Chinese).
[20]刘小宁.钢制薄壁内压容器爆破压力的概率分布研究[J].化工设计,2004,14(1):23-28.LIU Xiao Ning.Research on probability distribution of burst pressure for the thin-steel-wall internal pressure vessel[J].Chemical Engineering Design,2004,14(1):23-28(In Chinese).
[21]袁小会,刘岑,吴元祥,等.单层厚壁圆筒爆破压力的分布规律与参数[J].武汉工程大学学报,2014,36(4):69-73.YUAN Xaio Hui,LIU Cen,WU Yuan Xiang,et al.Distribution law and parameters of monolayer thick-walled cylinder burst pressure[J].Journal of Wuhan Institute of Technology,2014,36(4):69-73(In Chinese).
[22]刘小宁,刘岑,张红卫,等.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,YUANXiao-hui,CHEN Gang.Probability distribution of single-layer and multi-layer spherical vessel burst pressure[J].Journal of Wuhan Institute of Technology,2015,37(7):49-54(In Chinese).
[2]中华人民共和国行业标准.JB4732-1995.钢制压力容器-分析设计标准[S].北京:中国标准出版社,1995:1;1995:5;1995:36.Industry Standard of the People’s Republic of China.JB 4732-1995.Steel pressure vessels-design by analysis[S].Beijing:Chinese Standard Press,1995:1,5,36(In Chinese).
[3]黄泽,郑津洋,刘鹏飞,等.内压圆筒厚度计算公式分析讨论[J].压力容器,2012,29(8):18-21.HUANG Ze,ZHENG Ji Yang,LIU Peng Fei,et al.Discussion on thickness formula of cylindrical shell under internal pressure[J].Pressure Vessel Technology,2012,29(8):18-21(In Chinese).
[4]熊德之,张志军.概率论与数理统计及其应用[M].北京:科学出版社,2007:151-153;2007:261-266.XIONG De Zhi,ZHANG Zhi Jun.Application of Probability Theory and Mathematical Statistics[M].Beijing:Science Press,2007:151-153;2007:261-266(In Chinese).
[5]化学工程手册编辑委员会.化工应用数学[M].北京:化学工业出版社,1983:30-33;1983:372-374Editorial Board of Chemical Engineering Handbook.Chemical application mathematics[M].Beijing:Chemical Industry Press,1983:30-33;1983:372-374(In Chinese).
[6]徐灏.机械强度的可靠性设计[M].北京:机械工业出版社,1984:250-259.XU Hao.Mechanical strength reliability design[M].Beijing:Mechanical Industry Press,1984:250-259(In Chinese).
[7]张红卫,陈刚,刘岑,等.标准椭圆封头对薄壁内压圆筒承载能力的影响[J].武汉工程大学学报,2010,32(3):103-106.ZHANG Hong Wei,CHEN Gang,LIU Cen,et al.Standard elliptical dished head to thin wall internal pressure cylinder bearing capacity influence[J].Journal of Wuhan Institute of Technology,2010,32(2):103-106(In Chinese).
[8]刘小宁.钢制薄壁内压圆筒静强度的试验研究[J].化工设备与管道,2002,39(6):28-30.LIU Xiao Ning.Test research on steel thin-wall short cylinder Static strength at internal pressure[J].Process Equipment&Piping,2002,39(6):28-30(In Chinese).
[9]徐文举.液化石油气钢瓶爆破压力计算公式的探讨[J].化工机械,1993,20(3):161-162.XU Wen Ju.Discussion on calculation formula of LPG cylinder burst pressures[J].Chemical Engineering Machinery,1993,20(3):161-162(In Chinese).
[10]ZHENG Chuan Xiang.Estimate of bursting pressure of mild steel pressure vessel and presentation of bursting formula[J].Chinese Journal of Mechanical Engineering,2006,19(3):421-424.
[11]李生昌.压力容器爆破压力的确定[J].化工机械,1987,14(2):120-123.LI Sheng Chang.Determination of pressure vessel burst pressure[J].Chemical Engineering&Machinery,1987,14(2):120-123(In Chinese).
[12]郑传祥,文棋.低碳钢压力容器爆破试验及爆破压力公式研究[J].压力容器,2002,19(9):9-12.ZHENG Chuan Xiang,Wen Qi.Explosive experiment of mild steel pressure vessel and research on formula of explosive stress[J].Pressure Vessel Technology,2002,19(9):9-12(In Chinese).
[13]邵国华,魏龙灿.超高压容器[M].北京:化学工业出版社,2002:20-36.SHAO Guo Hua,WEI Long Can.Super high pressure vessel[M].Beijing:Chemical Industry Press,2002:20-36(In Chinese).
[14]刘小宁,刘岑,张红卫,等.对“基于实测数据的特种球形压力容器爆破压力计算公式”一文的商榷[J].应用数学和力学,2016,37(5):552-550.LIU Xiao Ning,LIU Cen,ZHANG Hong Wei,et al.Discussion on‘reconstructed formulas calculating bursting pressure of the special spherical pressure vessels based on experimental data’[J].Applied Mathematics and Mechanics,2016,37(5):552-550(In Chinese).
[15]刘小宁,刘岑,张红卫,等.薄壁球形容器爆破压力计算公式精度研究[J].压力容器.2016,33(3):32-38.LIU Xiao Ning,LIU Cen,ZHANG Hong Wei,et al.Calculation precision of burst pressure formulas for thin-walled spherical vessels[J].Pressure Vessel Technology,2016,33(3):32-38(In Chinese).
[16]刘小宁,刘岑,吴元祥,等.超高压圆筒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,et al.Burst pressure caculation formula compare of super-high pressure cylinder vessel[J].Journal of Mechanical Strength,2015,37(2):373-376(In Chinese).
[17]刘小宁,刘岑,刘兵,等.单层厚壁内压圆筒设计公式改进效果的可靠性研究[J].机械强度,2016,38(2):276-283.LIU Xiao Ning,LIU Cen,LIU Bing,et al.Improvement effect reliability research on single layer thick-walled internal pressure cylinder design formulas[J].Journal of Mechanical Strength,2016,38(2):276-283(In Chinese).
[18]刘小宁,刘岑,刘兵,等.承压容器爆破压力计算公式的评价方法研究[J].机械强度,2017,39(6):1419-1417.LIU Xiao Ning,LIU Cen,LIU Bing,et al.Study on the evaluation method of the pressure vessel burst pressure calculation formula[J].Journal of Mechanical Strength,2017,39(6):1419-1417(In Chinese).
[19]刘岑,吴元祥,刘兵,等.奥氏体不锈钢S30408抗拉强度分布规律的研究[J].河北工业科技,2016,32(1):34-37.LIU Cen,WU Yuan Xiang,LIU Bing,et al.Research in tensile strength distribution of austenitic stainless steel S30408[J].Hebei Journal of Industrial Science and Technology,2016,32(1):34-37(In Chinese).
[20]刘小宁.钢制薄壁内压容器爆破压力的概率分布研究[J].化工设计,2004,14(1):23-28.LIU Xiao Ning.Research on probability distribution of burst pressure for the thin-steel-wall internal pressure vessel[J].Chemical Engineering Design,2004,14(1):23-28(In Chinese).
[21]袁小会,刘岑,吴元祥,等.单层厚壁圆筒爆破压力的分布规律与参数[J].武汉工程大学学报,2014,36(4):69-73.YUAN Xaio Hui,LIU Cen,WU Yuan Xiang,et al.Distribution law and parameters of monolayer thick-walled cylinder burst pressure[J].Journal of Wuhan Institute of Technology,2014,36(4):69-73(In Chinese).
[22]刘小宁,刘岑,张红卫,等.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,YUANXiao-hui,CHEN Gang.Probability distribution of single-layer and multi-layer spherical vessel burst pressure[J].Journal of Wuhan Institute of Technology,2015,37(7):49-54(In Chinese).
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