GLOBAL TOPOLOGY STIFFNESS OPTIMIZATION OF FRAME STRUCTURES BY MOMENT-SUM-OF-SQUARES HIERARCHY

被引：0
|
作者：
Tyburec, M. [1 ]
Zeman, J. [1 ]
Kruzik, M. [2 ]
Henrion, D. [3 ]
机构：
[1] Czech Tech Univ, Fac Civil Engn, Dept Mech, Thakurova 7-2077, Prague 16629, Czech Republic
[2] Czech Tech Univ, Fac Civil Engn, Dept Phys, Thakurova 7-2077, Prague 16629, Czech Republic
[3] Univ Toulouse, CNRS, LAAS, 7 Ave Colonel Roche, FR-31400 Toulouse, France
来源：
ENGINEERING MECHANICS 2020 (IM2020) | 2020年
关键词：
Moment-sum-of-squares hierarchy; Topology optimization; Frame structures; Global optimality; POLYNOMIALS;
D O I：
10.21495/5896-3-492
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This contribution develops an efficient formulation for the topology optimization of frame structures with fixed-aspect-ratio cross-sections, solvable to global optimality by the moment-sum-of-squares hierarchy. While the hierarchy generates a sequence of non-decreasing lower-bounds, we develop a sequence of feasible upper-bounds, allowing to assess the optimized design quality in each relaxation. Finally, these bounds provide a means of establishing a new sufficiency condition of global e-optimality.
引用
收藏
页码：492 / 495
页数：4
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