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受沿任意方向单向拉伸的织物的屈曲分析
引用本文:张义同,徐家福.受沿任意方向单向拉伸的织物的屈曲分析[J].应用数学和力学,2002,23(5):533-540.
作者姓名:张义同  徐家福
作者单位:天津大学机械工程学院力学系, 天津 300072
基金项目:国家自然科学基金项目 (19772 0 32 )
摘    要:对编织物受沿与其经线方向成任意角度θ(0<θ<90°)的单向拉伸时的屈曲进行了分析,得到了确定其屈曲方向角β的方程,给出了当θ=45°和θ=30°时确定屈曲方向角β的方程的解曲线.证明了当编织物受到沿非经向/非纬向的单向拉伸时,屈曲是可能的,得到了两种可能的屈曲模态(弯曲模态和拉伸模态)以及相应的屈曲条件.Zhang和Fu(2001)的结果为其结论的特例.

关 键 词:织物    屈曲    屈曲方向
文章编号:1000-0887(2002)05-0533-08
收稿时间:2001-07-30
修稿时间:2001年7月30日

Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction
ZHANG Yi_tong,XU Jia_fu.Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction[J].Applied Mathematics and Mechanics,2002,23(5):533-540.
Authors:ZHANG Yi_tong  XU Jia_fu
Institution:Department of Mechancis, Institute of Mechanical Engineering, Tianjin University, Tianjin 300072, P R China
Abstract:The buckling of a fabric sheet subjected to a uniaxial tension in a direction making arbitrary angle,θ(0<θ<90°) say,with respect to that of warp is investigated.The equation to determine the buckling direction angle,B say,was obtained and,as illustration,the solution curves of the equation for θ=45° and θ=30° were plotted.It is shown that when the fabric sheet is subjected to tension in non-warp/ non-weft direction the out-of-plane buckling of fabric is possible,two buckling modes(flexural and extensional modes) and the both corresponding buckling conditions are obtained.The results given by Zhang and Fu(2001) are the special cases of this paper.
Keywords:woven fabric  buckling  buckling direction  
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