1. 湖北轻工职业技术学院机电工程学院
2. 武汉软件工程职业学院机械工程学院
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刘岑, 杨帆, 吴森林, 等. 承压圆筒爆破强度预测公式的精度和稳定性[J]. 机械强度, 2021,43(5):1104-1118.
LIU Cen, YANG Fan, WU SengLin, et al. PRECISION AND STABILITY OF THE PREDICTION FORMULA FOR BURST STRENGTH OF PRESSURE-BEARING CYLINDER[J]. 2021,43(5):1104-1118.
刘岑, 杨帆, 吴森林, 等. 承压圆筒爆破强度预测公式的精度和稳定性[J]. 机械强度, 2021,43(5):1104-1118. DOI: 10.16579/j.issn.1001.9669.2021.05.013.
LIU Cen, YANG Fan, WU SengLin, et al. PRECISION AND STABILITY OF THE PREDICTION FORMULA FOR BURST STRENGTH OF PRESSURE-BEARING CYLINDER[J]. 2021,43(5):1104-1118. DOI: 10.16579/j.issn.1001.9669.2021.05.013.
为给选择公式或拓展公式应用范围提供依据,应用概率论知识和数理统计理论,建立了公式稳定性与精度的比较与评价方法。基于承压圆筒实际爆破压力与有关公式计算值之比是基本符合正态分布随机变量的研究,从分布参数波动范围的变化系数比较与评价公式稳定性,从分布参数取值区间的重合度比较与评价公式精度。在双侧置信度98%时和公式的应用范围内,比较与评价了中径公式、特雷斯卡公式、福贝尔公式与流变应力公式的稳定性和精度。研究表明:(1)稳定性与精度不降低是选择公式或拓展公式应用范围的基本条件;(2)对于单层承压圆筒,中径公式的实测爆破压力应用范围,可由标准规定的不超过105 MPa拓展到不超过329.6 MPa,公式的稳定性明显提高且精度不降低;特雷斯卡公式的实测爆破压力应用范围,可由标准规定的位于91.0 MPa~300 MPa之间拓展到不超过329.6 MPa,公式的稳定性明显提高且精度不降低;在实测爆破压力不超过329.6 MPa时,中径公式与特雷斯卡公式的稳定性与精度无显著差异;在流变应力公式的应用范围为实测爆破压力不低于220 MPa,以及福贝尔公式的应用范围为实测爆破压力不低于250 MPa时,两个公式的精度没有明显差异,流变应力公式的稳定性明显比福贝尔公式好;当中径公式或特雷斯卡公式应用范围为实测爆破压力不超过329.6 MPa,以及流变应力公式的应用范围为实测爆破压力不低于220 MPa时,中径公式或特雷斯卡公式的稳定性明显比流变应力公式的好,精度也高于流变应力公式。(3)对于实测爆破压力不超过209.7 MPa的扁平绕带式压力容器,中径公式的精度和稳定性比单层承压圆筒爆破压力的4个预测公式低。
To provide a basis for selecting formulas or extending their applied ranges,applying probability theory and mathematical statistics,a comparison and evaluation method of formula stability and precision was established. Based on the study that the ratio of actual burst pressure to the formula calculated value was basically in accordance with the normal distribution random variables, comparing and evaluation the formula stability from the variation coefficient of distribution parameters fluctuation range,comparing and evaluation the formula precision from the distribution parameters value interval contact ratio.When the bilateral confidence was 98% and in the applied range of the formula,the stability and precision of Mid-diameter formula,Tresca formula,Faupel formula and Rheological stress formula were compared and evaluated. The researching results shown that:( 1) It is the basic conditions for selecting formulas or extending their applied ranges that stability and precision not reduced.( 2) For pressure-bearing single-layer cylinder,the applied range of the Mid-diameter formula for measured burst pressure specified by the standard,it can be extended from no more than 105 MPa to no more than 329. 6 MPa,the stability of the Mid-diameter formula is obviously improved and the precision is not reduced. The applied range of the Tresca formula for measured burst pressure specified by the standard,it can be extended from between 91. 0 MPa and 300 MPa to no more than329. 6 MPa,the stability of the Tresca formula is obviously improved and the precision is not reduced. If the measured burst pressure was not exceed 329. 6 MPa,the stability and precision is no significant difference between the Mid-diameter formula and the Tresca formula. When the applied range of the Rheological stress formula for measured burst pressure was not less than 220 MPa,and the applied range of the Faupel formula for measured burst pressure was not less than 250 MPa,the precision of the two formulas is not significantly different,and the stability of Rheological stress formula is obviously better than Faupel formula.For Mid-diameter or Tresca formula with measured burst pressure not exceeding 329. 6 MPa,and for Rheological stress formula with measured burst pressure not less than 220 MPa,the stability of Mid-diameter or Tresca formula is obviously better than the Rheological stress formula,and the precision is higher than the Rheological stress formula.( 3) For flat steel ribbon wound pressure vessel with measured burst pressure was not exceed 209. 7 MPa,the precision and stability of Mid-diameter formula is lower than that of four predictor formulas of burst pressure for pressure-bearing single-layer cylinder.
承压圆筒爆破强度预测公式精度和稳定性
Pressure-bearing cylinderBurst strengthPredictor formulaPrecision and stability
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