On The intrinsic equation behind the Delaunay surfaces

被引：0

作者：

Mladenov, Ivailo M. ^{[1
]}

Hadzhilazova, Mariana Ts. ^{[1
]}

Djondjorov, Peter A. ^{[2
]}

Vasilev, Vassil M. ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Biophys, Acad G Bonchev Str,Bl 21, BU-1113 Sofia, Bulgaria

[2] Bulgarian Acad Sci, Inst Mech, BU-1113 Sofia, Bulgaria

来源：

GEOMETRIC METHODS IN PHYSICS | 2008年 / 1079卷

关键词：

surface theory; curvatures; axially symmetric membranes;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By balancing the internal and external forces acting on axially symmetric membranes one arrives at a system of two equations describing the equilibrium states. This system allows at least two sets of analytical solutions, One of them presents the Euler's elasticas and the other one can be recognized as the class of Delaunay surfaces. The intrinsic equation describing the profile curves of the later is found and solved and this leads to new analytical formulas for these surfaces.

引用

页码：274 / +

页数：2

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