刚性圆柱上环向缠绕张力的分析与设计

纺织学报 ›› 2011, Vol. 32 ›› Issue (8): 122-127.

刚性圆柱上环向缠绕张力的分析与设计

邢静忠¹,李家惠²,陈利³

1. 天津工业大学
2. 辽宁营口市营龙化纤有限公司
3. 天津工业大学复合材料研究所

收稿日期:2010-08-30 修回日期:2011-03-30 出版日期:2011-08-15 发布日期:2011-08-15
通讯作者: 邢静忠 E-mail:hsingjzh@tjpu.edu.cn
基金资助:
省级

Analysis and design of winding tension for hoop winding on rigid cylinder

Received:2010-08-30 Revised:2011-03-30 Online:2011-08-15 Published:2011-08-15

摘要/Abstract

摘要： 根据各向同性材料三维本构关系，考虑环向缠绕张力对已缠绕层张力产生的放松量，研究刚性圆柱上环向缠绕层内的张力分布的解析解。建立环向缠绕张力与缠绕后剩余张力分布的关系，以及由给定缠绕张力确定缠绕后剩余张力分布的微分方程，提出了由给定剩余张力分布计算缠绕张力变化规律的计算方法。计算获得等张力，等力矩和锥度张力条件下缠绕后剩余张力分布的解析公式；得到了缠绕后等张力分布和拆除模具后零张力分布的缠绕张力解析解，以及实现均匀径向应变分布的缠绕张力。与现有文献相比，本文模型对缠绕层的张力放松分析更合理，研究结果可用于刚性圆柱形芯模上的剩余缠绕张力分析和缠绕张力设计。

关键词: 宽带缠绕, 纤维缠绕, 等张力缠绕, 张力控制, 厚壁圆柱

Abstract: The tension distribution in winding layer hoop wound on a rigid cylinder are investigated by considering the relaxation of winding tension in inner layer induced by the hoop tension in outer layer using three dimensional isotropic constitutive relationship. The relationship between winding tension and residual tension distribution is built, and a differential equation to determine the residual tension distribution formed by the specified winding tension strategy, and winding tension strategy to obtain the specified winding distribution are presented. The tension distribution formed by constant tension winding, constant torque winding and cone tension winding strategy are yielded respectively. Analytical expressions of the winding tension strategies leading to uniform residual tension distribution and zero tension when rigid cylinder is removed, and the winding tension leading to uniform radial strain are given. Comparing with the references, the relaxation analysis in this paper is more reasonable and some applications in residual winding tension analysis and winding tension design for hoop winding on rigid mandril are illustrated.

Key words: Cloth winding, filament winding, constant tensing winding, winding control, thick-walled cylinder

邢静忠李家惠陈利杨涛. 刚性圆柱上环向缠绕张力的分析与设计[J]. 纺织学报, 2011, 32(8): 122-127.

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