michell truss
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2021 ◽  
Vol 18 (2) ◽  
pp. 1653-1669
Author(s):  
Ganjun Xu ◽  
◽  
Ning Dai
Keyword(s):  


Materials ◽  
2020 ◽  
Vol 13 (17) ◽  
pp. 3867
Author(s):  
Tomáš Stejskal ◽  
Miroslav Dovica ◽  
Jozef Svetlík ◽  
Peter Demeč ◽  
Lukáš Hrivniak ◽  
...  

Topology optimization is a dynamically developing area of industrial engineering. One of the optimization tasks is to create new part shapes, while maintaining the highest possible stiffness and reliability and minimizing weight. Thanks to computer technology and 3D printers, this path of development is becoming more and more topical. Two optimization conditions are often used in topology optimization. The first is to achieve the highest possible structure stiffness. The second is to reduce the total weight of the structure. These conditions do not have a direct effect on the number of elements in the resulting structure. This paper proposes a geometric method that modifies topological structures in terms of the number of truss elements but is not based on the optimization conditions. The method is based on natural patterns and further streamlines the optimization strategies used so far. The method’s efficiency is shown on an ideal Michell truss.



2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Heiner Olbermann

AbstractWe show how to derive (variants of) Michell truss theory in two and three dimensions rigorously as the vanishing weight limit of optimal design problems in linear elasticity in the sense of Γ-convergence. We improve our results from [H. Olbermann, Michell trusses in two dimensions as a Γ-limit of optimal design problems in linear elasticity, Calc. Var. Partial Differential Equations 56 2017, 6, Article ID 166] in that our treatment here includes the three-dimensional case and that we allow for more general boundary conditions and applied forces.



2016 ◽  
Vol 2016.12 (0) ◽  
pp. 1103
Author(s):  
Shiro Yoshida ◽  
Neil Bishop




2010 ◽  
Vol 347 (1) ◽  
pp. 257-283 ◽  
Author(s):  
Robert E. Skelton ◽  
Maurício C. de Oliveira


2009 ◽  
Vol 39 (4) ◽  
pp. 373-384 ◽  
Author(s):  
P. Dewhurst ◽  
N. Fang ◽  
S. Srithongchai


2005 ◽  
Vol 26 (3) ◽  
pp. 381-388 ◽  
Author(s):  
Zhou Ke-min ◽  
Li Jun-feng


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