A dome subjected to compression forces: a comparison study between the mathematical model, the catenary rotation surface and the paraboloid

DOI10.1016/J.CHAOS.2022.112350zbMath1504.53111OpenAlexW4283379074MaRDI QIDQ2112936

Rafael López

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112350

zbMATH Keywords

center of gravityparaboloidsingular minimal surfacecatenary rotation surfacerotational tectum

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05) Applications of differential geometry to sciences and engineering (53Z99) Mathematics and architecture (00A67)

Related Items (2)

Geometric and architectural aspects of the singular minimal surface equation ⋮ A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies

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Cites Work

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• The \(n\)-dimensional analogue of the catenary: Existence and non-existence
• The two-dimensional analogue of the catenary
• Invariant singular minimal surfaces
• Uniqueness of critical points and maximum principles of the singular minimal surface equation
• Symmetric solutions of the singular minimal surface equation
• Plateau-Rayleigh instability of singular minimal surfaces
• A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
• Compact singular minimal surfaces with boundary
• The Membrane Theory of Shells of Revolution

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