Michell cantilevers constructed within a half strip. Tabulation of selected benchmark results
Structural and Multidisciplinary Optimization
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
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
On the optimality of Hemp's arch with vertical hangers
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
On the allowance for support costs in Prager-Rozvany's optimal layout theory
Structural and Multidisciplinary Optimization
Exact truss topology optimization for external loads and friction forces
Structural and Multidisciplinary Optimization
Topology optimization of softening structures under displacement constraints as an MPEC
Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
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The aim of this paper is twofold. It introduces a theory of Michell trusses taking support (reaction) costs into consideration, which is illustrated with a modified version of Michell's best known example. Then eight other variations on this example are presented, with (i) equal or unequal permissible stresses in tension and compression, (ii) the structural domain consisting of a half-plane or a full plane, and (iii) the supports being two pins, or a pin and a roller. Previously noted shortcomings of Michell's theory are highlighted and several fundamental properties of non-selfadjoint topology optimization problems discussed. The analytical solutions are verified to a high degree of accuracy by numerical results.