基于响应面中心复合设计的固体推进剂摩擦感度理论

Theory of Friction Sensitivity of Solid Propellants Based on Center Composite Design of Response Surface

为了确定固体推进剂生产过程中的各因素对摩擦感度的影响,采用响应面法(RSM)与中心复合试验设计(CCD)相结合,以摆锤角度、滑柱压力、试样温度为影响因素,以固体推进剂摩擦感度值为响应值设计试验,采用摩擦感度测试仪进行试验,并分析试验结果拟合了响应面模型。结果表明,在三个响应面评价精度指标中,相对均方根误差为0.14、决定系数R^2为0.9309、校正拟合度Radj^2为0.8686,说明方程拟合精度高且误差小;由模型方差分析得方差比值F为14.96,表明模型对响应面的影响程度较高;概率值p为0.0001,表明模型有0.01%的概率对响应面无影响;响应曲面图表明了各因素之间的相互作用;优化模型得到最小摩擦感度值所对应的三因素范围为角度小于45°,压力小于2MPa,温度小于45℃。

To determine the influence of various factors in the production process of solid propellant on the friction sensitivity, the response surface methodology(RSM)combined with central composite design(CCD)was used to design the experiments based on the pendulum angle,the strut pressure and the sample temperature were taken as influencing factors,and the friction sensitivity value of solid propellant was considered as the response value. The friction sensitivity tester was used to test and analyze, the testing results were fitted to the response surface model. Results show that in three response surface evaluation accuracy indexes,the relative root mean square error RMSE is 0.14,the determination coefficient R^2 is 0.9309,and the correction fitting degree Radj^2 is 0.8686,showing that the fitting precision of the equation is high and the error is small. The variance ratio F obtained by variance analysis of the model is 14.96,indicating that the model has a higher influence on the response surface. The probability value p is 0.0001,indicating that the probability of 0.01% of the model has no effect on the response surface. The response surface map shows the interaction between the various factors. The three-factor operating range corresponding to the minimum friction sensitivity value obtained by the model optimization is less than 45° in angle,less than 2 MPa in pressure, and less than 45 ℃ in temperature.