POD-assisted strategies for structural topology optimization

被引:18
作者
Ferro, Nicola [1 ]
Micheletti, Stefano [1 ]
Perotto, Simona [1 ]
机构
[1] Politecn Milan, Dipartimento Matemat, MOX Modellist & Calcolo Sci, Piazza L da Vinci 32, I-20133 Milan, Italy
关键词
Topology optimization; Proper orthogonal decomposition; Anisotropic mesh; Finite elements; SUPERCONVERGENT PATCH RECOVERY; PHASE FIELD; MODEL-REDUCTION; DESIGN; SHAPE; SCALE;
D O I
10.1016/j.camwa.2019.01.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a new numerical tool for structural optimization design. To cut down the computational burden typical of the Solid Isotropic Material with Penalization (SIMP) method, we apply Proper Orthogonal Decomposition on SIMP snapshots computed on a fixed grid to construct a rough structure (predictor) which becomes the input of a SIMP procedure performed on an anisotropic adapted mesh (corrector). The benefit of the proposed design tool is to deliver smooth and sharp layouts which require a contained computational effort before moving to the 3D printing production phase. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2804 / 2820
页数:17
相关论文
共 62 条
[1]  
Allaire G, 2004, STRUCT MULTIDISCIP O, V28, P87, DOI [10.1007/s00158-004-0442-8, 10.1007/S00158-004-0442-8]
[2]   Structural optimization using sensitivity analysis and a level-set method [J].
Allaire, G ;
Jouve, F ;
Toader, AM .
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (01) :363-393
[4]  
[Anonymous], 2007, Structural and Multidisciplinary Optimization, V33, P401
[5]  
[Anonymous], INT J ENG RES APPL
[6]  
[Anonymous], 2013, Matrix Computations
[7]  
[Anonymous], 2000, FLUIDS 2000 C EXH DE
[8]  
[Anonymous], 1989, Structural Optimization, DOI [DOI 10.1007/BF01650949, 10.1007/bf01650949]
[9]  
Bendsoe M. P., 2004, Topology optimization: theory, methods, and applications
[10]   GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD [J].
BENDSOE, MP ;
KIKUCHI, N .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) :197-224