高强度螺栓轴力与扭矩关系线性回归分析及不确定度评定

Linear Regression Analysis and Uncertainty Evaluation of the Relationship Between Axial Force and Torque of High Strength Bolts in Pressure Vessels

高强度螺栓广泛应用于各类高压罐体中,为了量化装配过程中的检验标准,建立高强度螺栓扭矩与轴力的对应关系模型。基于高强度螺栓轴力-扭矩实验,采用一元线性回归分析方法,建立高强度螺栓拧紧扭矩与轴力的理论关系模型;并采用剩余标准差对线性回归模型的斜率和截距进行不确定度评定。结果表明,模型计算的回归结果与实验结果的误差在±7%以内,螺栓轴力的剩余标准偏差与平均值的相对百分比小于3%,线性回归方程可以准确预测高强度螺栓扭矩与轴力的之间关系,不确定度分析可准确获取各参数的置信区间。研究对提升高强度螺栓的装配质量和连接性能,有一定的理论意义和应用价值。

High strength bolts are widely used in various chemical equipment and pipelines.In order to quantify the inspection standards in the assembly process,the corresponding Relational model between torque and axial force of high-strength bolts is established.Based on the axial force torque experiment of high strength bolts,a theoretical relationship model between the tightening torque and axial force of high-strength bolts is established using a one-dimensional linear regression analysis method;And the residual standard deviation is used to evaluate the uncertainty of the slope and intercept of the linear regression model.The results show that the error between the regression results calculated by the model and the experimental results is within±7%,and the relative percentage of the remaining standard deviation of the bolt axial force to the average value is less than 3%.The linear regression equation can accurately predict the relationship between high-strength bolt torque and axial force,and uncertainty analysis can accurately obtain the confidence intervals of each parameter.The research has certain theoretical significance and application value in improving high strength bolts'assembly quality and connection performance.