高弹紧密织物均压下面外变形的数理模型  

A Mathematical Model for Out-of-Plane Deformation of High-Elastic Tight Fabric under Uniform Pressure

作　　者：韩晓果[1] 肖学良[1] 钱坤[1] 周红涛[1,2] HAN Xiaoguo;XIAO Xueliang;QIAN Kun;ZHOU Hongtao(Key Laboratory of Eco-textile, Ministry of Education, Jiangnan University, Wuxi 214122, China;Yancheng Vocational Institute of Industry Technology, Yancheng 224005, China)

机构地区：[1]江南大学生态纺织教育部重点实验室,江苏无锡214122 [2]盐城工业职业技术学院,江苏盐城224005

出　　处：《东华大学学报（自然科学版）》2018年第6期909-915,共7页Journal of Donghua University(Natural Science)

基　　金：中央高校基本科研业务费专项资金资助项目(JUSRP116019);江苏省自然科学基金资助项目(BK20160157);"十三五"国家重点研发计划资助项目(2016YFB0303200);土工建筑增强材料制备与应用课题(2016YFB0303205)

摘　　要：针对圆形紧密织物高气压下的面外变形,综合拉伸能、弯曲能、剪切能和外力做功,建立了变形织物能量系统的平衡方程;由系统能量最小化理论得到织物高气压下的最大变形量和变形轮廓曲线;通过自行搭建的织物变形仪测试了3种不同弹性程度的紧密机织物的面外变形。结果表明,织物的变形程度与其杨氏模量呈负相关,并且织物变形的试验值与理论预测值之间的最大相对误差为12.6%,说明该数学模型具备一定的可靠性,可用来预测其他弹性或非弹性紧密织物高气压下的面外变形。This paper investigates the out-of-plane deformation behaviors of tight woven fabrics in circular clamped shape under uniform pressures.Combined with stretching,bending,shearing energies,as well as work done by exerted pressures,the systematic energy minimization theory was established to obtain the fabric maximum deformation and profiles of deformation. The self-assembly out-of-plane deformation tester tested the out-of-plane deformation of three tight woven fabrics with different degree of elasticity.The results show that the out-of-plane deformation is related with its Youngs modulus and Poissons ratio,and the maximum error between prediction and experiment is found less than 12.6%,indicating the accuracy of developed mathematical model.This developed model can be used to predict other deformation behaviors of elastic and non-elastic woven fabrics for predictive applications.

关 键 词：紧密机织物 高气压 面外变形 数学模型 

分 类 号：TS101.2[轻工技术与工程—纺织工程]