评估织物悬垂性的新方法

doi:10.19398/j.att.202101015

摘要/Abstract

摘要：

为了开发评估织物悬垂性的新方法,建立了描述悬垂织物的数学模型,用以描述织物的悬垂外观形态,并提出了评估织物悬垂性的新指标。选取6块平纹亚麻织物,在现有的织物悬垂性能测试仪器的基础上,引入3D扫描仪,获得了悬垂织物三维图像及数据,并对所获得数据进行统计处理得出评估结果。结果表明:新开发的数学模型可以精确地描述不同亚麻织物的悬垂外观形态,通过对不同平纹亚麻织物测试和数据分析,证实了新方法具有较高的准确性,相比于伞式法,该方法可以更为有效地评估织物的悬垂形态。

关键词: 悬垂性, 平纹亚麻织物, 3D扫描, 弯曲刚度

Abstract:

In order to establish a new method for evaluating the drapability of fabrics, a mathematical model describing the drapability of fabrics was developed, and a new index was presented to evaluate the drapability of fabrics. Six pieces of plain linen fabrics were selected. Based on the existing testing instrument for the drapability of fabrics, a 3D scanner was introduced to obtain the 3D images and data of draping fabrics and the data obtained were statistically processed to get evaluation results. The results show that the newly developed mathematical model can accurately describe the draping appearance of different linen fabrics. The test and data analysis of different plain linen fabrics confirm that the new method has higher accuracy. Compared with the umbrella method, this method can evaluate the draping morphologies of fabrics in a more effective way.

Key words: drapability, plain linen fabric, 3D scanning, bending stiffness

中图分类号:

TS127

RYKLIN Dzmitry(Рыклин Дмитрий Борисович), 汤晓彤. 评估织物悬垂性的新方法[J]. 现代纺织技术, 2022, 30(1): 109-114.

RYKLIN Dzmitry, TANG Xiaotong. Development of a new method for evaluating the drapability of fabrics[J]. Advanced Textile Technology, 2022, 30(1): 109-114.

图/表 8

图1 悬垂织物单个剖面上参数的具体位置

Fig.1 Position parameters of individual profiles in the draped fabrics

表1 平纹亚麻织物规格参数

Tab.1 Fabric specification parameters of plain weave linen

试样编号	厚度/mm	平方米质量/(g.m^-2)	悬垂系数/%	弯曲刚度/((N·cm^-2)
试样编号	厚度/mm	平方米质量/(g.m^-2)	悬垂系数/%	经向	纬向	对角线方向
1	0.45	180.93	43.51	0.578	0.519	0.229
2	0.40	165.88	53.57	0.694	0.443	0.287
3	0.59	260.47	58.61	1.163	0.715	0.467
4	0.40	173.97	60.54	0.641	0.755	0.353
5	0.45	193.56	61.07	0.943	0.683	0.483
6	0.38	163.23	70.15	0.872	1.071	0.562

图2 ArtecSpider便携式3D扫描仪及其操作示意

Fig.2 ArtecSpider portable 3D scanner and its operation schematic

图3 三维模型被划分出4个横截面, H =10、15、20、25 mm

Fig.3 The 3D model has been divided into 4 cross-sections, H=10, 15, 20, 25 mm

图4 当H=20时,剖面被平均分成为72个扇区(俯视)

Fig.4 When H=20, the profile is divided equally into 72 sectors (top view)

图5 悬垂织物的三维图像

Fig.5 3D images of the draped fabrics

表2 实验数据统计处理结果

Tab.2 Results of statistical processing of experimental data

支撑盘底部到剖面距离H/mm			模型中的参数值												剖面褶皱形状拟合系数 $R 12$	整体外观形态拟合系数 $R 22$
支撑盘底部到剖面距离H/mm			R₀		ΔR₁		Δφ₁		k₁		ΔR₂		Δφ₂		剖面褶皱形状拟合系数 $R 12$	整体外观形态拟合系数 $R 22$
试样1	10	94.05		12.47		-1.01		1.29		1.52		1.21		0.92		0.93
	15	95.18		18.04		-0.99		1.43		1.81		1.31		0.93
	20	96.12		23.41		-0.97		1.56		1.72		1.50		0.93
	25	96.92		28.41		-0.96		1.64		1.89		1.61		0.93
试样2	10	97.21		16.17		-2.45		1.51		5.43		0.30		0.77		0.82
	15	98.42		19.90		-2.45		1.62		6.05		0.34		0.81
	20	99.54		23.54		-2.44		1.70		6.38		0.35		0.83
	25	100.60		26.88		-2.44		1.75		6.67		0.37		0.84
试样3	10	98.47		11.81		-2.75		1.13		2.42		-0.41		0.53		0.57
	15	100.31		16.39		-2.76		1.17		3.57		-0.42		0.56
	20	101.90		20.74		-2.77		1.22		4.69		-0.44		0.57
	25	103.32		25.01		-2.78		1.25		6.08		-0.47		0.58
试样4	10	97.53		12.75		0.79		1.21		1.58		-1.45		0.65		0.68
	15	101.50		17.67		0.77		1.34		1.67		2.05		0.68
	20	103.12		22.20		0.79		1.41		1.82		1.25		0.70
	25	104.90		26.74		0.79		1.51		2.37		1.28		0.72
试样5	10	99.65		9.54		-2.42		1.09		4.16		-1.08		0.45		0.45
	15	101.86		13.32		-2.41		1.07		5.90		-1.05		0.46
	20	103.64		17.12		-2.39		1.07		7.42		-1.02		0.46
	25	105.53		20.72		-2.37		1.10		8.77		-1.00		0.46
试样6	10	99.03		4.58		2.12		1.01		5.95		1.53		0.30		0.33
	15	103.43		7.91		2.15		1.06		7.27		1.56		0.32
	20	107.01		11.41		2.19		1.10		8.25		1.58		0.33
	25	110.47		14.74		2.19		1.13		8.57		1.60		0.36

表2 实验数据统计处理结果

Tab.2 Results of statistical processing of experimental data

支撑盘底部到剖面距离H/mm			模型中的参数值												剖面褶皱形状拟合系数 $R 12$	整体外观形态拟合系数 $R 22$
支撑盘底部到剖面距离H/mm			R₀		ΔR₁		Δφ₁		k₁		ΔR₂		Δφ₂		剖面褶皱形状拟合系数 $R 12$	整体外观形态拟合系数 $R 22$
试样1	10	94.05		12.47		-1.01		1.29		1.52		1.21		0.92		0.93
	15	95.18		18.04		-0.99		1.43		1.81		1.31		0.93
	20	96.12		23.41		-0.97		1.56		1.72		1.50		0.93
	25	96.92		28.41		-0.96		1.64		1.89		1.61		0.93
试样2	10	97.21		16.17		-2.45		1.51		5.43		0.30		0.77		0.82
	15	98.42		19.90		-2.45		1.62		6.05		0.34		0.81
	20	99.54		23.54		-2.44		1.70		6.38		0.35		0.83
	25	100.60		26.88		-2.44		1.75		6.67		0.37		0.84
试样3	10	98.47		11.81		-2.75		1.13		2.42		-0.41		0.53		0.57
	15	100.31		16.39		-2.76		1.17		3.57		-0.42		0.56
	20	101.90		20.74		-2.77		1.22		4.69		-0.44		0.57
	25	103.32		25.01		-2.78		1.25		6.08		-0.47		0.58
试样4	10	97.53		12.75		0.79		1.21		1.58		-1.45		0.65		0.68
	15	101.50		17.67		0.77		1.34		1.67		2.05		0.68
	20	103.12		22.20		0.79		1.41		1.82		1.25		0.70
	25	104.90		26.74		0.79		1.51		2.37		1.28		0.72
试样5	10	99.65		9.54		-2.42		1.09		4.16		-1.08		0.45		0.45
	15	101.86		13.32		-2.41		1.07		5.90		-1.05		0.46
	20	103.64		17.12		-2.39		1.07		7.42		-1.02		0.46
	25	105.53		20.72		-2.37		1.10		8.77		-1.00		0.46
试样6	10	99.03		4.58		2.12		1.01		5.95		1.53		0.30		0.33
	15	103.43		7.91		2.15		1.06		7.27		1.56		0.32
	20	107.01		11.41		2.19		1.10		8.25		1.58		0.33
	25	110.47		14.74		2.19		1.13		8.57		1.60		0.36

图6 悬垂系数与形态拟合系数 R 2 2之间的关系

Fig.6 The relationship between the drape coefficient and the morphological fitting coefficient R 2 2

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