Bounds for decoupled design and analysis discretizations in topology optimization

被引:6
|
作者
Gupta, D. K. [1 ]
van der Veen, G. J. [1 ]
Aragon, A. M. [1 ]
Langelaar, M. [1 ]
van Keulen, F. [1 ]
机构
[1] Delft Univ Technol, Struct Optimizat & Mech, Fac 3mE, Mekelweg 2, NL-2628 CD Delft, Netherlands
关键词
topology design; finite element methods; structures;
D O I
10.1002/nme.5455
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Topology optimization formulations using multiple design variables per finite element have been proposed to improve the design resolution. This paper discusses the relation between the number of design variables per element and the order of the elements used for analysis. We derive that beyond a maximum number of design variables, certain sets of material distributions cannot be discriminated based on the corresponding analysis results. This makes the design description inefficient and the solution of the optimization problem non-unique. To prevent this, we establish bounds for the maximum number of design variables that can be used to describe the material distribution for any given finite element scheme without introducing non-uniqueness. Copyright (C) 2016 The Authors. International Journal for Numerical Methods in Engineering Published by John Wiley & Sons Ltd
引用
收藏
页码:88 / 100
页数:13
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