摘要
基于测地线建立了复合材料弯管的数学模型,在弯管段两端由圆柱段过渡连接,对其缠绕成型过程进行了研究,采用测地线进行弯管圆环段的缠绕,对于过渡连接的两段圆柱段采用非测地线进行缠绕,对复合材料弯管的纤维稳定缠绕条件进行推导,给出其缠绕线型方程和最小的稳定缠绕角。分析了不同的中心线曲率半径与弯管半径比对缠绕角的影响,并应用MATLAB编程对设计的理论线型进行验证性仿真,证明缠绕线型的可缠绕性以及满足纤维缠绕的基本要求。
The mathematical model of filament-wound composite elbows is presented based on geodesic trajectories. The cylindrical sections are used for transiting the torus part in the middle and the both end parts. The torus part is overwound using geodesics,and the both cylindrical parts are produced using non-geodesics to ensure a smooth transition of fiber trajectories at the both ends. The stability-ensuring conditions of composite elbows are derived with the aid of differential geometry. The equations for determining the winding patterns and the minimum-required winding angles are formulated. The influence of various relative bending radii and tube radii on the resulting winding angles is evaluated. The obtained winding patterns are simulated and validated using MATLAB codes. The results show that the winding patterns obtained using the present method satisfy the windability of the elbow and meet the basic requirements for filament winding technology.
出处
《玻璃钢／复合材料》
CAS
CSCD
北大核心
2015年第10期19-25,共7页
Fiber Reinforced Plastics/Composites
基金
国家自然科学基金(11302168)
中央高校基本科研业务费专项资金资助项目(143101001)
陕西省自然科学基础研究计划资助项目(2013JQ6018)
湖北省自然科学基金(2014CFB140)
关键词
纤维缠绕
复合材料
弯管
测地线
非测地线
filament winding
composite materials
elbow
geodesic
non-geodesic
