摘要
为给比较、选择与确定合适的钢制球形容器爆破压力计算公式提供依据,建立了评价计算公式精度的准确性与集中性指标.基于59组实测数据,分析了钢制球形容器爆破压力4种计算公式的精度.得到如下结论：公式的准确度（爆破压力计算值与实测值之比）平均值与变异系数分别是其精度准确性与集中性的评价指标;对于多层球形容器,当材料屈强比为0.720 9-0.847 5且容器径比为1.053-1.107时,中径公式准确度平均值为0.977 0,变异系数为0.035 4;当材料屈强比为0.336 2-0.618 9且容器径比为1.109-1.257时,中径公式准确度平均值为1.169 1,变异系数为0.108 3;与其他3种公式相比,中径公式计算钢制薄壁多层球形容器爆破压力精度高,计算钢制薄壁单层球形容器爆破压力集中性高.
In order to provide a basis for the comparison, selection and determination of the appropriate burst pressure calculation formulas for steel spherical vessels, the indexes of accuracy and concentration for the precision evaluation of the calculation formulas were established. By means of 59 groups of measured data, the precisions of 4 different burst pressure calculation formulas were analyzed. The discussion gives conclusions as follow： the formula＇ s average accuracy ratio （ the ratio of the calculated burst pressure value to the measured value） and the coefficient of variation can be reasonably treated as the indexes of accuracy and concentration for the formula＇s precision evaluation, respectively; for multi-layer spherical vessels, the average accuracy ratio of the mid-diameter formula is 0.977 0 and the coefficient of variation is 0.035 4, with the yield ratios of the vessel wall materials ranging from 0.720 9 to 0.847 5 and the diameter ratios ranging from 1.053 to 1.107 ; for single-layer spherical vessels, the average accuracy ratio of the mid-diameter formula is 1.169 1 and the coefficient of variation is 0.108 3, with the yield ratios of the vessel wall materials ranging from 0.336 2 to 0.618 9 and the diameter ratios ranging from 1.109 to 1.257; compared with the results out of the other 3 formulas, the burst pressures calculated with the mid-diameter formula for steel thin-walled multi-layer spherical vessels are more precise, the burst pressures calculated with the mid-diameter formula for steel thin-walled single-layer spherical vessels are more concentrated.
出处
《应用数学和力学》
CSCD
北大核心
2016年第5期542-550,共9页
Applied Mathematics and Mechanics
基金
湖北省教育厅科研项目(B2014209)
关键词
球形容器
爆破压力
计算公式
精度
准确性
集中性
评价
spherical vessel
burst pressure
calculation formula
precision
accuracy
con- centration
evaluation
