| AN EXTENSION OF CLARIAUT EQUATION AND ITS APPLICATION |
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| 作者姓名： | LIANGYOUDONG ZOUZHENQLANG WANGGUOZHAO |
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| 作者单位： | [1]SupportedbyNationalNaturalScienceFoundationofChina [2]DoctoralScienceFoundationofChina [3]FoundationofCaoGuangbio |
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| 摘 要： | The geodesic in differential geometry is eornmonly used in computer-aided filament winding (CAFW) to avoid slippage in manufacturing process. The uniqueness of the geodesic byits initial values severely restricts the choice of the fiber path and is an obstacle to the production ofoptimized structures. This paper presents a new class of more flexible non-slip trajectories on revolutional surfaces as an extension of the well-known Clariaut equation and gives its application inCAFW.
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| 关 键 词： | Clariaut方程 扩展性 微分几何学 唯一性 |
| 收稿时间： | 25 November 1996 |
An extension of clariaut equation and its application |
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| LIANGYOUDONG ZOUZHENQLANG WANGGUOZHAO.AN EXTENSION OF CLARIAUT EQUATION AND ITS APPLICATION[J].Applied Mathematics A Journal of Chinese Universities,1997,12(1):1-14. |
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| Authors: | Liang Youdong Zou Zhenqiang Wang Guozhao |
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| Institution: | (1) Department of Applied Mathematics, Zhejiang University, 310027, Hangzhou;(2) The State Key Laboratory of CAD/CG, USA |
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| Abstract: | The geodesic in differential geometry is commonly used in computer-aided filament winding (CAFW) to avoid slippage in manufacturing
process. The uniqueness of the geodesic by its initial values severely restricts the choice of the fiber path and is an obstacle
to the production of optimized structures. This paper presents a new class of more flexible non-slip trajectories on revolutional
surfaces as an extension of the well-known Clariaut equation and gives its application in CAFW.
Supported by National Natural Science Foundation of China, Doctoral Science Foundation of China and Foundation of Cao Guangbio. |
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| Keywords: | Geodesies semi-geodesies quasi-geodesics slippage-resistance friction coefficient MR Subject Classification 68U 07 |
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