超高压容器爆破压力计算公式的精度比较

Precision Comparison of Calculation Formulas for Ultra-high Pressure Vessel Burst Pressure

应用数理统计知识,构建了超高压容器爆破压力计算公式精度的比较方法,基于实测爆破压力范围220.7~1326.3MPa的试验数据,对流变应力公式与福贝尔公式的精度进行了分析比较。研究表明:在显著度为 0.05时,实测爆破压力与两个公式理论值之比基本符合正态分布的随机变量;在双侧置信度为 98%时,两个随机变量的分布参数无显著差异,可视为同一个符合正态分布的随机变量;该随机变量的均值位于 1.0044~1.0472之间,标准差位于 0.06124~0.1078之间,变异系数位于 0.05848~0.1073之间;若设计压力不低于 100MPa,流变应力公式与福贝尔公式的精度无显著差异。

By applying mathematical statistics knowledge,the precision comparison method of ultra-high pressure vessel burst pressure calculating formula was developed;based on test data with the measured burst pressure range of 220.7~1 326.3 MPa,the precision of rheological stress formula and precision of Faupel formula were analyzed and compared.Research results indicate that: When the significance was 0.05,the ratios of the measured burst pressure to the theoretical values of the two formulas were basically in agreement with the normally distributed random variable,respectively.When the bilateral confidence limit was 98%,there was not significant difference in the distribution parameters of the two random variables,they can be considered as the same variable as a random variable conforming to normal distribution;the mean value of the random variables was between 1.004 4 and 1.047 2,the standard deviation was between 0.061 24 and 0.107 8,and the variation coefficient was between 0.058 48 and 0.107 3;if the design pressure was not less than 100 MPa,there was no significant difference in precision between the rheological stress formula and the Faupel formula.