Near-optimal solutions for two point loads between two supports

Authors:
Carlos Olmedo Rojas;Mariano Vázquez Espí;Jaime Cervera Bravo;Carlos Vázquez Espí
Affiliations:
Departamento de Estructuras de Edificación, Universidad Politécnica de Madrid, Escuela Técnica Superior de Arquitectura, Madrid, España 28040;Research Group on Architecture, Urban Planning and Sustainability, Universidad Politécnica de Madrid, Madrid, España 28040;Departamento de Estructuras de Edificación, Universidad Politécnica de Madrid, Escuela Técnica Superior de Arquitectura, Madrid, España 28040;Departamento de Fundamentos Matemáticos, Universidad Politécnica de Madrid, Escuela Técnica Superior de Ingeniería Aeronáutica, Madrid, España 28040
Venue:
Structural and Multidisciplinary Optimization
Year:
2013

Citing 2
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On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight

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New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports

Structural and Multidisciplinary Optimization

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Abstract

In a recent work, Sokół and Rozvany have shown a family of benchmark solutions for the two load problem, probably the optimal one. Taking into account that the difference in cost from previously known solutions was small, we have looked for a simpler albeit sub-optimal family of solutions. As a result, we have obtained three sub-optimal families, including one with a simple circular arc. The three families are compared with the benchmarks, and we have found that all three are of practical interest, because they increase the cost only by a small amount in spite of their simplicity.