| 基于微分几何纤维缠绕回转壳封头的厚度计算 |
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| 引用本文： | 唐修卿,何钦象,李辅安.基于微分几何纤维缠绕回转壳封头的厚度计算[J].宇航材料工艺,2010,40(4). |
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| 作者姓名： | 唐修卿 何钦象 李辅安 |
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| 作者单位： | 西安理工大学工程力学系,西安 710054 |
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| 摘 要： | 应用微分几何理论,建立了纤维复合材料在回转壳封头上稳定缠绕的数学模型,推导出了缠绕角、中心角与轴向坐标之间的微分方程。结合缠绕轨迹在封头上叠带的几何关系,给出了厚度的计算方法。算例表明该计算方法反映了纤维缠绕回转壳封头上厚度的分布规律,可直接应用于结构的初步设计。
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| 关 键 词： | 纤维缠绕 微分几何 回转壳封头 缠绕角 厚度 |
Calculated Thickness of Filament Winding EllipsoidalheadBased on Differential Geometry |
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| Tang Xiuqing,He Qinxiang,Li Fu'an.Calculated Thickness of Filament Winding EllipsoidalheadBased on Differential Geometry[J].Aerospace Materials & Technology,2010,40(4). |
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| Authors: | Tang Xiuqing He Qinxiang Li Fu'an |
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| Abstract: | The mathematical model of fiber composite material winding steadily on ellipsoidalhead was established by application of differential geometry theory. The differential equations between winding angle/ center angle and axial coordinates were obtained,and then thickness of filament winding ellipsoidalhead was calculated by considering the geometrical relationship of winding path. The numerical example show that the calculation method reflects particular distribution rule of thickness on filament winding ellipsoidalhead, and the method can be applied to the preliminary design.
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| Keywords: | Filament Differential geometry Ellipsoidalhead Winding angle Thickness |
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