Two quasi-optimal solutions for uniform load between two supports

Cervera Bravo, Jaime ORCID: https://orcid.org/0000-0002-1060-7397, Vázquez Espí, Carlos ORCID: https://orcid.org/0000-0001-9956-3476 and Vázquez Espí, Mariano ORCID: https://orcid.org/0000-0001-5112-5602 (2011). Two quasi-optimal solutions for uniform load between two supports. "Engineering Optimization" ;

Descripción

Título: Two quasi-optimal solutions for uniform load between two supports
Autor/es:
Tipo de Documento: Artículo
Título de Revista/Publicación: Engineering Optimization
Fecha: 28 Septiembre 2011
Materias:
ODS:
Palabras Clave Informales: Keywords: layout optimization, trusses, Michell structures
Escuela: E.T.S. Arquitectura (UPM)
Departamento: Estructuras de Edificación [hasta 2014]
Licencias Creative Commons: Reconocimiento - No comercial - Compartir igual

Texto completo

[thumbnail of 2solutions.pdf]
Vista Previa
PDF (Portable Document Format) - Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (273kB) | Vista Previa

Resumen

Two frameworks for the title problem are presented, for the half and full plane cases respectively, with semi-analytical layouts. It is shown that both are among the best layouts obtained by several methods, including Simulated Annealing (SA) search and Linear Programming (LP). Respectively, the heights are found to be 0.442 and 0.633 times the span L. The required volume of material is given by V = kwL2/f where w is the load intensity and f the allowable stress, being k respectively equal to 0.985 and 0.758. The corresponding results for the layouts on the basis of the one presented by W. Hemp in 1974 are 0.338L, 0.676L, 1.158wL2/f, and 0.788wL2/f. None of these frameworks meets the conditions of Michell theorem, hence there is not sound proof that they are absolute optima. The meaning of this fact is discussed and two future lines of research are proposed.

Más información

ID de Registro: 9033
Identificador DC: https://oa.upm.es/9033/
Identificador OAI: oai:oa.upm.es:9033
Depositado por: Profesor Titular Mariano Vázquez Espí
Depositado el: 30 Sep 2011 08:44
Ultima Modificación: 29 Mar 2024 16:10