摘要
为给选择合适的承压设备强度设计公式提供依据,以及为建立承压设备强度设计的可靠性方法,将扁平绕带容器爆破压力实际值与公式计算值之比视为随机变量,应用数理统计和概率论知识,讨论了随机变量统计样本的有效性与同质性,分析了随机变量的分布规律,构建了随机变量的分布参数的比较方法。从精度和稳定性两个方面,建立了公式工程适应性的评价指标与方法。以扁平绕带模拟容器爆破压力的15组实测数据与扁平绕带工业规模容器爆破压力的5组实测数据为例,分析比较了与4个爆破压力计算公式对应随机变量的分布规律和分布参数,评价了相应公式的工程适应性。研究结果表明:(1)4个公式相应随机变量的统计样本在双侧置信度为99%时具有有效性与同质性;有3个随机变量在显著度为0.05时基本符合正态分布,双侧置信度为98%时,得到其分布参数的取值区间。(2)在3个基本符合正态分布随机变量中,其中2个随机变量的分布参数无显著差异,但与另外1个的分布参数存在显著差异。
In order to provide the basis for selecting suitable design formula of pressure equipment strength,and to establish the reliability method of pressure equipment strength design,the ratio of the flat winding vessel burst pressure actual value to the formula calculated value was considered as a random variable.applied mathematical statistics and probability theory,the validity and homogeneity of random variables statistical samples were discussed,the random variables distribution law was analyzed,the comparison method of random variables distribution parameters was constructed.The evaluation index and method of formulas engineering adaptability were established from two aspects of precision and stability.Taking 15 sets of flat winding simulation vessel burst pressure measured data and 5 sets of flat winding industrial scale vessel burst pressure measured data as examples,the distribution laws and parameters of the random variables corresponding to four burst pressure calculation formulas were analyzed and compared,the engineering adaptability of the corresponding formula was evaluated.The researching results show that:(1)When the confidence of both sides was 99%,4 formulas corresponding random variables statistical samples are effective and homogeneous;if the significance was 0.05,the 3 random variables are basically accorded with normal distribution,when the confidence of both sides was 98%,the value interval of distribution parameters are obtained.(2)Of the three random variables that basically fit the normal distribution,there is no significant difference in the distribution parameters of two random variables,but there is significant difference with the distribution parameters of the other one.
作者
刘岑
吴森林
杨帆
洪凯
张恕
刘小宁
LIU Cen;WU SengLin;YANG Fan;HONG Kai;ZHANG Shu;LIU XiaoNing(School of Mechanical and Electrical Engineering,Hubei Light Industry Technology Institute,Wuhan 430070,China;School of Mechanical Engineering,Wuhan Vocational College of Software and Engineering,Wuhan 430205,China)
出处
《机械强度》
CAS
CSCD
北大核心
2021年第4期856-867,共12页
Journal of Mechanical Strength
基金
湖北省教育厅科研项目(B2019421)
武汉市黄鹤英才(教育)计划项目资助。
关键词
设计公式
工程适应性
扁平绕带容器
Design formula
Engineering adaptability
Flat winding vessel
