承压容器爆破压力计算公式的评价方法研究  

STUDY ON THE EVALUATION METHOD OF THE PRESSURE VESSEL BURST PRESSURE CALCULATION FORMULA

作　　者：刘小宁[1] 刘岑[1] 刘兵[1] 袁小会[1] 杨帆 张红卫[1] 

机构地区：[1]武汉软件工程职业学院机械工程学院,武汉430205 [2]武船重型工程股份有限公司,武汉430415

出　　处：《机械强度》2017年第6期1409-1417,共9页Journal of Mechanical Strength

基　　金：湖北省教育厅科研项目(B20146545)资助~~

摘　　要：构建了一个具有统计性质的随机变量;借助于数理统计的假设检验理论,采用无偏估计分析了该随机变量分布参数的变化规律,建立了承压容器爆破压力计算公式精度的评价方法。基于27组钢制薄壁单层圆筒形容器爆破压力实测数据,研究了有关因素对中径公式与福贝尔(Faupel)公式精度的影响。研究表明:(1)对于径比为1.010~1.50且材料屈强比为0.488 9~0.966 0的钢制薄壁单层圆筒形容器,屈强比的大小对中径公式对应随机变量的标准差与均值没有显著影响;虽然屈强比的大小对福贝尔公式对应随机变量的均值没有显著影响,但屈强比不超过0.499 7样本的试验数据,显著增大了福贝尔公式对应随机变量的标准差;(2)在上述范围,中径公式对应随机变量的变异系数小于福贝尔公式,集中度高;用中径公式计算薄壁单层圆筒形容器爆破压力,比福贝尔公式合适;(3)将屈强比调整为0.538 8~0.966 0且径比相应调整为1.013 3~1.50时,福贝尔公式对应随机变量的变异系数显著变小,集中度得到显著提高。A random variable with statistical property was built; by means of the statistical theory hypothesis testing,and using the sample data,the change rule of random variable distribution parameter was analyzed,the evaluation method of the pressure vessel burst pressure calculation formula precision was established. Based on 27 groups of steel thin-wall single-layer cylinder burst pressure measured data,related factors influence on the precision of mid-diameter formula and Faupel formula were studied. The research shows that：（ 1） For thin-wall single-layer cylinder,with the vessel materials yield ratio ranging from0. 488 9 to 0. 0. 966 0,and the diameter ratio ranging from 1. 010 to 1. 5,the yield ratio value is not obviously affect the standard deviation and mean value of mid-diameter formula corresponding to random variable; although yield ratio value is no significant effect on mean value of Faupel formula corresponding to random variable,but if experimental data of yield ratio was lower than0. 499 7,Faupel formula corresponding to random variable standard deviation is significant increase;（ 2） In above scope,middiameter formula corresponding to random variable coefficient of variation is less than Faupel formula ＇s,and mid-diameter formula with higher concentration,for calculating steel thin-walled single layer cylinder burst pressures,mid-diameter formula is better than Faupel formula;（ 3） Adjust the materials yield ratio ranging from 0. 538 8 to 0. 966 0,and the diameter ratio ranging from 1. 013 3 to 1. 5 accordingly,the variation coefficient of Faupel formula corresponding to random variable is significantly decreased,and the concentration of Faupel formula is significantly improved.

关 键 词：承压容器 爆破压力 计算公式 屈强比 精度 评价方法 

分 类 号：TH49[机械工程—机械制造及自动化] O212.6[理学—概率论与数理统计]