承压容器爆破压力计算公式的评价方法研究

发布时间：2018-05-03 15:39

本文选题：承压容器 + 爆破压力　；参考：《机械强度》2017年06期

【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。
[Abstract]:A random variable with statistical properties is constructed. With the help of the hypothesis testing theory of mathematical statistics, the variation of the distribution parameters of the random variable is analyzed by unbiased estimation, and the evaluation method for the accuracy of the calculation formula of the pressure vessel pressure is established. Based on the measured data of the blasting pressure of 27 groups of thin walled cylindrical vessels with thin steel walls, The influence of relevant factors on the formula of medium diameter and the accuracy of Faubert (Faupel) formula is studied. The study shows that: (1) for a steel thin-walled cylindrical container with a diameter ratio of 1.010~1.50 and the ratio of strength to strength of 0.488 9~0.966 0, the size of the ratio of bending strength has no significant influence on the standard deviation and the mean value of the mean diameter formula for the random variables; although the ratio of the flexion intensity ratio is not significant The size of the Faubert formula has no significant influence on the mean value of the random variable, but the test data of the flexion ratio not more than 0.4997 samples significantly increases the standard deviation of the Faubert formula for the random variables; (2) in the above range, the coefficient of variation of the formula corresponding to the random variable is smaller than the Faubert formula, and the concentration is high; the formula of the middle diameter is used. The calculation of blasting pressure of thin-walled cylindrical vessel is better than that of Faubert formula. (3) when the ratio of flexion ratio is adjusted to 0.538 8~0.966 0 and the diameter ratio is adjusted to 1.013 3~1.50, the variation coefficient of the Faubert formula corresponding to the random variable is significantly smaller, and the concentration is greatly improved.

【作者单位】：武汉软件工程职业学院机械工程学院;武船重型工程股份有限公司;
【基金】：湖北省教育厅科研项目(B20146545)资助~~
【分类号】：TH49

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