Topology optimization of continuum structures under hybrid uncertainties

被引:0
作者
Seyyed Ali Latifi Rostami
Ali Ghoddosian
机构
[1] University of Semnan,Faculty of Mechanical Engineering
来源
Structural and Multidisciplinary Optimization | 2018年 / 57卷
关键词
Topology optimization; Material uncertainty; Geometric uncertainty; Sparse grid; Collocation method;
D O I
暂无
中图分类号
学科分类号
摘要
The aim of this paper is to study the topology optimization for mechanical systems with hybrid material and geometric uncertainties. The random variations are modeled by a memory-less transformation of random fields which ensures their physical admissibility. The stochastic collocation method combined with the proposed material and geometry uncertainty models provides robust designs by utilizing already developed deterministic solvers. The computational cost is decreased by using of sparse grids and discretization refinement that are proposed and demonstrated as well. The method is utilized in the design of minimum compliance structure. The proposed algorithm provides a computationally cheap alternative to previously introduced stochastic optimization methods based on Monte Carlo sampling by using adaptive sparse grids method.
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页码:2399 / 2409
页数:10
相关论文
共 52 条
[1]  
Allaire G(2014)A linearized approach to worst-case design in parametric and geometric shape optimization Math Models Methods Appl Sci 24 2199-2257
[2]  
Dapogny C(1997)Robust truss topology design via semidefinite programming SIAM J Optim 7 991-1016
[3]  
Ben-Tal A(2001)Topology optimization of non-linear elastic structures and compliant mechanisms Comput Methods Appl Mech Eng 190 3443-3459
[4]  
Nemirovski A(2011)A new level-set based approach to shape and topology optimization under geometric uncertainty Struct Multidiscip Optim 44 1-18
[5]  
Bruns TE(2010)Level set based robust shape and topology optimization under random field uncertainties Struct Multidiscip Optim 41 507-524
[6]  
Tortorelli DA(2008)Minimax optimization problem of structural design Comput Struct 86 1426-1435
[7]  
Chen S(2011)Introducing loading uncertainty in topology optimization AIAA J 49 760-768
[8]  
Chen W(2008)Structural optimization under uncertain loads and nodal locations Comput Methods Appl Mech Eng 198 116-124
[9]  
Chen SK(2011)Structural topology optimization based on non-local Shepard interpolation of density field Comput Methods Appl Mech Engrg 200 3515-3525
[10]  
Chen W(2017)Topology optimization under uncertainty via non-intrusive polynomial chaos expansion Comput Methods Appl Mech Eng 318 120-147