烘箱内湿度与纺织材料回潮率测试分析的GM(1,2)模型

针对利用测试烘箱内空气湿度来了解待测纺织材料干燥状态的测试方法,及其所建立的纤维材料前后2次质量差与测试频率差的非线性回归方程模型进行了分析,指出这一模型存在较大误差。提出运用灰色系统建模方法建立烘箱内空气湿度与正在烘燥的纺织材料回潮率之间的灰微分方程GM(1,2)模型。经分析证实,该模型对试验结果的拟合误差低于回归方程模型,可满足工程计算的要求,为用检测烘箱内空气湿度的方法确定待测纺织材料的烘燥状态这一测试理论提供一种计算工具。

GM(1,2) model for analyzing and testing humidity of oven and moisture regain of textile material

In view of the method to investigate the dry state of textile material awaiting measurement by testing the air humidity of oven and the fact that the non-linear regression equation model established on textile material quality difference between pre-and post-weighing and the frequency difference between the two leads to greater error, this paper proposed to establish a gray system GM(1,2) based on the air humidity of oven and the moisture regain of textile material being dried. The fitting error of which has been proven to be much smaller than that of the regression equation model, and it can satisfy the requirement of engineering calculating. Thus, it provides a necessary solution in measuring the air humidity of oven showing dry state of textile material awaiting measurement.