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基于钢制薄壁内压长圆筒爆破强度统计分析数据和可靠性数学理论,建立了分析钢制薄壁内压长圆筒屈服强度的分布规律与参数的新方法。研究表明:在显著度为5%时,钢制薄壁内压长圆筒屈服强度实测值与均值之比是基本符合正态分布的随机变量;在置信度为98%时,该随机变量的均值不小于0.988 3但不大于1.013 1,标准差不小于0.111 79但不大于0.121 56;在可靠度为99.75%时,钢制薄壁内压长圆筒屈服强度实测值与均值之比不小于0.624但不大于1.378;17组试验数据验证表明,用文中新方法得到的分布参数具有波动范围小和精度高的特点。
Based on the statistical analysis data and the reliability mathematical theory of long thin-wall internal pressure long cylinder bursting strength, a new method to analyze the distribution law and parameters of the yield strength of the long thin-wall steel cylinder with internal pressure was established. The results show that at the significant degree of 5%, the ratio between the measured value and the mean value of the yield strength of the steel thin-walled internal pressure long cylinder is a random variable that basically meets the normal distribution. When the confidence is 98%, the mean value of the random variable Not less than 0.988 3 but not more than 1.013 1, the standard deviation is not less than 0.111 79 but not more than 0.121 56; when the reliability is 99.75%, the ratio between the measured value and the mean value of the yield strength of the steel thin wall internal pressure long cylinder is not less than 0.624 Not more than 1.378; 17 sets of test data show that the distribution parameters obtained by the new method in the paper have the characteristics of small fluctuation range and high precision.