钢制单层球形容器爆破压力的计算
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摘要
运用数理统计的假设检验理论,建立了有关因素对容器爆破压力计算公式精度影响的评价方法.基于52组钢制薄壁单层球形容器爆破压力实测数据,分析了材料屈强比对中径公式与福贝尔(Faupel)公式精度的影响.研究表明:对于材料屈强比为0.336 2~0.618 9且径比为1.109~1.257的单层球形容器,屈强比的变化对中径公式的精度没有显著影响;中径公式的集中度显著高于福贝尔公式.将屈强比范围调整为0.449 8~0.618 9且径比范围调整为1.114~1.257时,福贝尔公式的精度得到显著提高,且集中度显著高于中径公式.
To evaluate the relative factors affecting the accuracy of the vessel burst pressure calculation formula,we established an evaluation method by using the theory of statistical hypothesis testing. Based on the burst pres-sure measured data of 52 sets of spherical vessels with single-layer steel, the influences of materials yield ratioon the precision of Faupel formula and mid-diameter formula were analyzed. The study shows that the change ofmaterial yield ratio has no significant effect on the mid-diameter formula's accuracy, and the mid-diameterformula's concentration is higher than that of Faupel formula, for the spherical vessels with the materials yieldratios between 0.336 2 and 0.618 9, and the diameter ratios between 1.109 and 1.257. The Faupel formula'sprecision is significantly improved, and the Faupel formula's concentration is higher than that of the mid-diame-ter formula when the materials yield ratios were adjusted from 0.449 8 to 0.618 9, and the diameter ratiosfrom1.114 to 1.257.
To evaluate the relative factors affecting the accuracy of the vessel burst pressure calculation formula,we established an evaluation method by using the theory of statistical hypothesis testing. Based on the burst pres-sure measured data of 52 sets of spherical vessels with single-layer steel, the influences of materials yield ratioon the precision of Faupel formula and mid-diameter formula were analyzed. The study shows that the change ofmaterial yield ratio has no significant effect on the mid-diameter formula's accuracy, and the mid-diameterformula's concentration is higher than that of Faupel formula, for the spherical vessels with the materials yieldratios between 0.336 2 and 0.618 9, and the diameter ratios between 1.109 and 1.257. The Faupel formula'sprecision is significantly improved, and the Faupel formula's concentration is higher than that of the mid-diame-ter formula when the materials yield ratios were adjusted from 0.449 8 to 0.618 9, and the diameter ratiosfrom1.114 to 1.257.
引文
[1]中华人民共和国国家标准.钢制球形储罐:GB12337-2014[S].北京:中国标准出版社,2014:25-27.
[2]中华人民共和国国家标准.压力容器:GB 150-2011[S].北京:中国标准出版社,2012:94-95.
[3]中华人民共和国国家质量监督检验检疫总局.超高压容器安全技术监察规程:TSG R0002-2005[S].北京:中国计量出版社,2005:13-14.
[4]邵国华,魏龙灿.超高压容器[M].北京:化学工业出版社,2002.
[5]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 X Z,CHEN G L.Calculation of bursting pressuresfor high pressure vessels[J].Petro-chemical equipmenttechnology,1995,16(1):23-26.
[6]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 A Q,YANG Z,YANG Y.Amendment of empiricalformulas calculating bursting pressure of cylindrical ves-sels[J].Journal of mechanical strength,2013,35(5):652-656.
[7]郑津洋,匡继勇,徐平,等.多层超高压容器爆破压力研究[J].化工机械,1994,21(5):271-277.ZHENG J Y,KUANG J Y,XU P,et al.Research into-bursting pressures of the multi-layered super-high pres-sure vessel[J].Chemical engineering&machinery,1994,21(5):271-277.
[8]陈国理,钟汉通,王作池.超高压聚乙烯反应管爆破试验[J].压力容器,1991,8(2):40-43.CHEN G L,ZHONG H T,WANG Z C.Burst test ofsuper-high pressure polyethylene reaction tube[J].Pressure vessel technology,1991,8(2):40-43.
[9]刘小宁,刘岑,吴元祥,等.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 X N,LIU C,WU Y X,et al.Burst pressure cacula-tion formula compare of super-high pressure cylindervessel[J].Journal of mechanical strength,2015,37(2):373-376.
[10]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,2007:151-153,261-266.
[11]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,1983:30-33,372-374.
[12]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 A Q,YIN Y H,LIU X F.Reconstructed formulas calculating bursting pressure of the special spherical pressure vessels based on experimental data[J].Applied mathematics and mechanics,2014,35(11):1232-1238.
[13]刘小宁,刘岑,张红卫,等.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 X N,LIU C,ZHANG H W,et al.Research on distribution and parameters of the spherical vessel static strength[J].Pressure vessel technology,2012,29(8):26-30.
[14]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 X N,LIU C,ZHANG H W,et al.Probability distribution of single-layer and multi-layer spherical vessel burst pressure[J].Journal of Wuhan institute of technology,2015,37(7):49-54.
[15]李清,袁小会,刘岑,等.有效试验数据对钢材机械性能分布规律的影响[J].武汉工程大学学报,2015,37(4):69-73.LI Q,YUAN X H,LIU C,et al.Validity test data effect on steel mechanical properties distribution law[J].Journal of Wuhan institute of technology,2015,37(4):69-73.
[16]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 X N,LIU C,ZHANG H W,et al.Calculation precision of burst pressure formulas for thin-walled spherical vessels[J].Pressure vessel technology,2016,33(3):32-38.
[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 X N,LIU C,LIU B,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.
[18]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 X N,LIU C,ZHANG H W,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.
[2]中华人民共和国国家标准.压力容器:GB 150-2011[S].北京:中国标准出版社,2012:94-95.
[3]中华人民共和国国家质量监督检验检疫总局.超高压容器安全技术监察规程:TSG R0002-2005[S].北京:中国计量出版社,2005:13-14.
[4]邵国华,魏龙灿.超高压容器[M].北京:化学工业出版社,2002.
[5]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 X Z,CHEN G L.Calculation of bursting pressuresfor high pressure vessels[J].Petro-chemical equipmenttechnology,1995,16(1):23-26.
[6]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 A Q,YANG Z,YANG Y.Amendment of empiricalformulas calculating bursting pressure of cylindrical ves-sels[J].Journal of mechanical strength,2013,35(5):652-656.
[7]郑津洋,匡继勇,徐平,等.多层超高压容器爆破压力研究[J].化工机械,1994,21(5):271-277.ZHENG J Y,KUANG J Y,XU P,et al.Research into-bursting pressures of the multi-layered super-high pres-sure vessel[J].Chemical engineering&machinery,1994,21(5):271-277.
[8]陈国理,钟汉通,王作池.超高压聚乙烯反应管爆破试验[J].压力容器,1991,8(2):40-43.CHEN G L,ZHONG H T,WANG Z C.Burst test ofsuper-high pressure polyethylene reaction tube[J].Pressure vessel technology,1991,8(2):40-43.
[9]刘小宁,刘岑,吴元祥,等.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 X N,LIU C,WU Y X,et al.Burst pressure cacula-tion formula compare of super-high pressure cylindervessel[J].Journal of mechanical strength,2015,37(2):373-376.
[10]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,2007:151-153,261-266.
[11]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,1983:30-33,372-374.
[12]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 A Q,YIN Y H,LIU X F.Reconstructed formulas calculating bursting pressure of the special spherical pressure vessels based on experimental data[J].Applied mathematics and mechanics,2014,35(11):1232-1238.
[13]刘小宁,刘岑,张红卫,等.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 X N,LIU C,ZHANG H W,et al.Research on distribution and parameters of the spherical vessel static strength[J].Pressure vessel technology,2012,29(8):26-30.
[14]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 X N,LIU C,ZHANG H W,et al.Probability distribution of single-layer and multi-layer spherical vessel burst pressure[J].Journal of Wuhan institute of technology,2015,37(7):49-54.
[15]李清,袁小会,刘岑,等.有效试验数据对钢材机械性能分布规律的影响[J].武汉工程大学学报,2015,37(4):69-73.LI Q,YUAN X H,LIU C,et al.Validity test data effect on steel mechanical properties distribution law[J].Journal of Wuhan institute of technology,2015,37(4):69-73.
[16]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 X N,LIU C,ZHANG H W,et al.Calculation precision of burst pressure formulas for thin-walled spherical vessels[J].Pressure vessel technology,2016,33(3):32-38.
[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 X N,LIU C,LIU B,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.
[18]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 X N,LIU C,ZHANG H W,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.
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