Optimal design of a class of symmetric plane frameworks of least weight

Authors:
T. Sokół;T. Lewiński
Affiliations:
Department of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warsaw, Poland 00-637;Department of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warsaw, Poland 00-637
Venue:
Structural and Multidisciplinary Optimization
Year:
2011

Citing 5
Cited 2

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

Structural and Multidisciplinary Optimization
A 99 line code for discretized Michell truss optimization written in Mathematica

Structural and Multidisciplinary Optimization
On symmetry and non-uniqueness in exact topology optimization

Structural and Multidisciplinary 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

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

Structural and Multidisciplinary Optimization

Comments on the Authors' Reply by T. Sokół and T. Lewiñski (2011) to a Discussion by Vazquez and Cervera (2011) on their Research Paper (Sokół and Lewiñski 2010)

Structural and Multidisciplinary Optimization
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

The aim of the paper is to place the recent results on the Michell-like problem of transmitting two vertical forces to two fixed hinge supports in the context of C. Maxwell's result and to provide answers to the remarks by Vázquez Espií and Cervera Bravo (Struct Multidisc Optim, 2011) published in their Discussion Paper: 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.