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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Publication:381537
DOI10.1007/s00158-010-0556-0zbMath1274.74246OpenAlexW2088671472MaRDI QIDQ381537
Publication date: 15 November 2013
Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00158-010-0556-0
Applications of mathematical programming (90C90) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Interior-point methods (90C51) Compliance or weight optimization in solid mechanics (74P05)
Related Items (11)
On the usefulness of non-gradient approaches in topology optimization ⋮ On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight: discussion on the Michell class concept ⋮ Comments on the authors' reply by T. Sokół\ and T. Lewiñski (2011) to a discussion by Vazquez and Cervera (2011) on their research paper ({S}okół\ and Lewiñski 2010) ⋮ Geometrical aspects of optimum truss like structures for three-force problem ⋮ Exact truss topology optimization: allowance for support costs and different permissible stresses in tension and compression -- extensions of a classical solution by Michell ⋮ On the optimality of Hemp's arch with vertical hangers ⋮ New analytical benchmarks for topology optimization and their implications. I: Bi-symmetric trusses with two point loads between supports ⋮ On minimum compliance problems of thin elastic plates of varying thickness ⋮ Optimal vault problem -- form finding through 2D convex program ⋮ Optimal design of a class of symmetric plane frameworks of least weight: reply to the paper: Vázquez Espí\ and Cervera Bravo (2011) on the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight. Discussion on the Michell class concept ⋮ The stiffest designs of elastic plates: vector optimization for two loading conditions
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