EPE动态冲击曲线拟合函数对比

Comparison of EPE Dynamic Impact Curve Fitting Function

目的针对多项式函数拟合发泡聚乙烯泡沫(EPE)动态冲击曲线不准确的问题,构建精确且简洁的数学模型以解决此问题。方法选用对勾函数、双指数函数及常见的二次、三次多项式函数对实验数据进行拟合,拟合点共8个。改变实验材料的密度、厚度及实验的跌落高度,对比分析4种数学模型的拟合效果。结果双指数函数和对勾函数的拟合度均可达到0.98以上,二次和三次多项式函数拟合度低于0.9,且拟合效果不稳定,在拟合曲线的最低点误差较大。结论与双指数函数相比,对勾函数的参数较少,拟合效果相近时,在实际应用中更易推广。

Aiming at the inaccurate problem of the polynomial function fitting the dynamic impact curve of expanded polyethylene foam(EPE),a precise and concise mathematical model was constructed to solve this problem.The experiment applies hook function,double-exponential function and common quadratic and cubic function were selected to fit the experimental data through 8 fitting points.The fitting effects of the four mathematical models were compared and analyzed by changing the density and thickness of the experimental materials and the drop height of the experiment.The results show the fitting degree of both the double-exponential function and the hook function can reach above 0.98,and the fitting degree of quadratic and cubic function is lower than 0.9.In addition,the fitting effect of the polynomial function is unstable and the error is large at the lowest point of the fitting curve.Compared with the double-exponential function,the hook function has fewer parameters,and the fitting effect is similar,so it is easier to popularize in practical application.