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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"
;
| Título: | Two quasi-optimal solutions for uniform load between two supports |
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| Autor/es: |
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| 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 |
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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.
| 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 |
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