Stochastic level-set method for shape optimisation

被引：15
|
作者：
Hedges, Lester O. [1 ,2 ]
Kim, H. Alicia [2 ,3 ]
Jack, Robert L. [1 ]
机构：
[1] Univ Bath, Dept Phys, Bath BA2 7AY, Avon, England
[2] Cardiff Univ, Sch Engn, Cardiff CF24 3AA, S Glam, Wales
[3] Univ Calif San Diego, Struct Engn Dept, La Jolla, CA 92093 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2017年 / 348卷
基金：
英国工程与自然科学研究理事会;
关键词：
Topology optimisation; Level-set method; Stochastic motion of shape boundaries; DESIGN; MOTION;
D O I：
10.1016/j.jcp.2017.07.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We present a new method for stochastic shape optimisation of engineering structures. The method generalises an existing deterministic scheme, in which the structure is represented and evolved by a level-set method coupled with mathematical programming. The stochastic element of the algorithm is built on the methods of statistical mechanics and is designed so that the system explores a Boltzmann-Gibbs distribution of structures. In non-convex optimisation problems, the deterministic algorithm can get trapped in local optima: the stochastic generalisation enables sampling of multiple local optima, which aids the search for the globally-optimal structure. The method is demonstrated for several simple geometrical problems, and a proof-of-principle calculation is shown for a simple engineering structure. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：82 / 107
页数：26
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