Constraint paths in non-linear structural optimization

被引：10

作者：

Eriksson, Anders ^{[1
]}

机构：

[1] Royal Inst Technol, KTH Mech, SE-10044 Stockholm, Sweden

来源：

COMPUTERS & STRUCTURES | 2014年 / 140卷

关键词：

Space membranes; Solution manifolds; Parameter dependence; Stability constraint; Hyper-elastic material; TOPOLOGY OPTIMIZATION; CRITICAL-POINTS; DIRECT COMPUTATION; SNAP-THROUGH; DESIGN; DISPLACEMENTS; INSTABILITY; STABILITY; INFLATION;

D O I：

10.1016/j.compstruc.2014.05.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Optimization of significantly non-linear structures is a demanding task. The paper discusses how boundaries of the feasible region can be followed as generalized equilibrium paths in parametric space, reflecting engineering demands on stiffness, strains and stability. Solutions on the constraint paths are then evaluated with respect to any chosen objective function. For few design parameters, this approach is efficient and robust. This is demonstrated for a pre-stressed pressurized membrane of three parameters, showing several constraint paths for the problem, and indicating how these are used in optimization. The view is often closer to engineering design analyses than the mathematical optimization settings, which often has problems in handling stability constraints. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：39 / 47

页数：9

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