scholarly journals Dual approach using a variant perimeter constraint and efficient sub-iteration scheme for topology optimization

2003 ◽  
Vol 81 (22-23) ◽  
pp. 2173-2181 ◽  
Author(s):  
W.H Zhang ◽  
P Duysinx
Author(s):  
Krishnan Suresh

In multi-objective topology optimization, a design is defined to be “pareto-optimal” if no other design exists that is better with respect to one objective, and as good with respect to others. This unfortunately suggests that unless other ‘better’ designs are found, one cannot declare a particular topology to be pareto-optimal. In this paper, we first show that a topology can be guaranteed to be (locally) pareto-optimal if certain inherent properties associated with the topological sensitivity field are satisfied, i.e., no further comparison is necessary. This, in turn, leads to a deterministic, i.e., non-stochastic, method for directly tracing pareto-optimal frontiers using the classic fixed-point iteration scheme. The proposed method can generate the full set of pareto-optimal topologies in a single-run, and is therefore both efficient and predictable, as illustrated through numerical examples.


2017 ◽  
Vol 137 (3) ◽  
pp. 245-253
Author(s):  
Hidenori Sasaki ◽  
Hajime Igarashi

2019 ◽  
Vol 139 (9) ◽  
pp. 568-575
Author(s):  
Yusuke Sakamoto ◽  
Daisuke Ishizuka ◽  
Tetsuya Matsuda ◽  
Kazuhiro Izui ◽  
Shinji Nishiwaki

2020 ◽  
Vol 140 (12) ◽  
pp. 858-865
Author(s):  
Hidenori Sasaki ◽  
Yuki Hidaka ◽  
Hajime Igarashi

Author(s):  
Suruchi S. Vasudev ◽  
Farhaan Jalees Ahmad ◽  
Sushama Talegaonkar ◽  
Rabea Parveen ◽  
Zeenat Iqbal
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document