On The intrinsic equation behind the Delaunay surfaces

Journal Article · Tue Nov 18 00:00:00 EST 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3043869· OSTI ID:21254874

Mladenov, Ivaielo M; Hadzhilazova, Mariana Ts ^[1]; Djondjorov, Peter A; Vassilev, Vassil M ^[2]

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1. Institute of Biophysics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 21, 1113 Sofia (Bulgaria)
2. Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia (Bulgaria)

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.

• OSTI ID: 21254874
• Journal Information: AIP Conference Proceedings, Vol. 1079, Issue 1; Conference: 27. workshop on geometric methods in physics, Bialowieza (Poland), 29 Jun - 5 Jul 2008; Other Information: DOI: 10.1063/1.3043869; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
AXIAL SYMMETRY
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
NUMERICAL ANALYSIS