单层与多层球形容器爆破压力的概率分布  

Probability distribution of burst pressure in single-layer and multi-layer spherical vessel

作　　者：刘小宁[1,2] 刘岑[2] 张红卫[1] 刘兵[1] 袁小会[1] 陈刚[1] 

机构地区：[1]武汉软件工程职业学院机械工程学院,湖北武汉430205 [2]武汉工程大学机电工程学院,湖北武汉430205

出　　处：《武汉工程大学学报》2015年第7期49-54,共6页Journal of Wuhan Institute of Technology

基　　金：湖北省教育厅科研资助项目(B2014209)

摘　　要：为了建立压力容器可靠性设计方法,基于59组实测数据,应用数理统计理论与方法,定量分析了材料屈强比范围为0.336 2～0.847 5与径比范围为1.053～1.257的单层与多层球形容器爆破压力的概率分布.结表明,在显著度为0.05时,其爆破压力的实测值与中径公式计算值之比,是基本符合正态分布的随机变量;在双侧置信度为98%时,该随机变量的均值为1.001 3～1.049 7,标准差为0.068 95～0.095 95;在可靠度为99.98%时,爆破压力的实测值与中径公式计算值与之比为0.644 5～1.358 1.To establish the reliable design method of pressure vessel, the probability distribution of single-layer and multi-layer spherical vessel burst pressure was analyzed; Based on 59 set test data, applying statistical theory and methods, we explored quantitatively the probability distribution of burst pressure of single-layer and multi-layer spherical vessel with the material yield and tensile strength ratio of 0.336 2-0.847 5 and the radius ratio of 1.053-1.257. The results shows that the ratio of the measured burst pressure values and middiameter formula theory value is consistent with the normal distribution of random variables at the saliency of0.05; the mean values of the random variable are 1.001 3-1.049 7, and the standard deviations are 0.068 95-0.095 95 at two-sided confidence of 98%; the ratios of the measured burst pressure value and the mid-diameter formula calculated value are 0.644 5-1.358 1 when the reliability is 99.98%.

关 键 词：单层与多层 球形容器 爆破压力 中径公式 概率分布 

分 类 号：TH49[机械工程—机械制造及自动化]