Oval Domes: History, Geometry and Mechanics

Huerta Fernández, Santiago (2007). Oval Domes: History, Geometry and Mechanics. "Nexus Network Journal. Architecture and Mathematics", v. 9 ; pp. 211-248. ISSN 1590-5896.

Descripción

Título: Oval Domes: History, Geometry and Mechanics
Autor/es:
  • Huerta Fernández, Santiago
Tipo de Documento: Artículo
Título de Revista/Publicación: Nexus Network Journal. Architecture and Mathematics
Fecha: 2007
Volumen: 9
Materias:
Palabras Clave Informales: historia de la construcción, cúpulas ovales, estabilidad, análisis límite, geometría, mecánica construction history, oval domes, limit analysis, geometry, mechanics, stability
Escuela: E.T.S. Arquitectura (UPM)
Departamento: Estructuras de Edificación [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

An oval dome may be defined as a dome whose plan or profile (or both) has an oval form. The word Aoval@ comes from the latin Aovum@, egg. Then, an oval dome has an egg-shaped geometry. The first buildings with oval plans were built without a predetermined form, just trying to close an space in the most economical form. Eventually, the geometry was defined by using arcs of circle with common tangents in the points of change of curvature. Later the oval acquired a more regular form with two axis of symmetry. Therefore, an “oval” may be defined as an egg-shaped form, doubly symmetric, constructed with arcs of circle; an oval needs a minimum of four centres, but it is possible also to build polycentric ovals. The above definition corresponds with the origin and the use of oval forms in building and may be applied without problem until, say, the XVIIIth century. Since then, the teaching of conics in the elementary courses of geometry made the cultivated people to define the oval as an approximation to the ellipse, an “imperfect ellipse”: an oval was, then, a curve formed with arcs of circles which tries to approximate to the ellipse of the same axes. As we shall see, the ellipse has very rarely been used in building. Finally, in modern geometrical textbooks an oval is defined as a smooth closed convex curve, a more general definition which embraces the two previous, but which is of no particular use in the study of the employment of oval forms in building. The present paper contains the following parts: 1) an outline the origin and application of the oval in historical architecture; 2) a discussion of the spatial geometry of oval domes, i. e., the different methods employed to trace them; 3) a brief exposition of the mechanics of oval arches and domes; and 4) a final discussion of the role of Geometry in oval arch and dome design.

Más información

ID de Registro: 2498
Identificador DC: http://oa.upm.es/2498/
Identificador OAI: oai:oa.upm.es:2498
Depositado por: Profesor S. Huerta
Depositado el: 06 Mar 2010 19:01
Ultima Modificación: 20 Abr 2016 12:10
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