NDLI: An extension of clariaut equation and its application

Content Provider	Springer Nature Link
Author	Youdong, Liang Zhenqiang, Zou Guozhao, Wang
Copyright Year	1997
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.
Starting Page	1
Ending Page	14
Page Count	14
File Format	PDF
ISSN	10051031
Journal	Applied Mathematics-A Journal of Chinese Universities
Volume Number	12
Issue Number	1
e-ISSN	19930445
Language	English
Publisher	Editorial Committee of Applied Mathematics
Publisher Date	1997-01-01
Publisher Place	Hangzhou
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geodesies semi-geodesies quasi-geodesics slippage-resistance friction coefficient MR Subject Classification 68U 07 Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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An extension of clariaut equation and its application