A Quasi-Fixed-Supported Beam Method for Characterizing Fabric Bending Rigidity and Drape Behaviour by Calculus of Variations

作者:Sun, Fengxin; Du, Zhaoqun; Yu, Weidong*; Zhi, Chao; Chen, Nanliang
来源:Journal of Fiber Science and Technology, 2017, 73(8): 202-209.
DOI:10.2115/fiberst.2017-0026

摘要

A new tester is developed based on a quasi-fixed-supported beam system in this work. The new tester can characterize both warp and weft bending rigidity and assess the drape behaviour of fabrics in one test. A drape index, DI, was defined using the measured hanging lengths of warp and weft, and a linear model was also developed to predict the drape coefficient based on the measurement of the new tester. The calculus of variations was employed to calculate the bending rigidity by analysing the hanging shape of fabrics. Correlation between drape index, DI, and drape coefficient, DC as well as the bending rigidity measured by the new tester, KES-F2 and FAST-2 were estimated using linear regression analysis. The results showed that the new tester with calculus of variations could be used to evaluate the bending rigidity and drape behaviour of fabrics efficiently, and it also provided a useful method for real-time quality control of fabric bending and drape properties.