2014
DOI: 10.1007/s00158-014-1070-6
|View full text |Cite
|
Sign up to set email alerts
|

Topological optimization of two-dimensional phononic crystals based on the finite element method and genetic algorithm

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
88
0

Year Published

2015
2015
2024
2024

Publication Types

Select...
6

Relationship

1
5

Authors

Journals

citations
Cited by 178 publications
(88 citation statements)
references
References 33 publications
0
88
0
Order By: Relevance
“…the relative BGW, and therefore it is easier and needs less computational efforts. We solve the SOOP by using the genetic algorithm (GA), [31][32][33][34] which has already been used in the design of structures with a very large search space or high dimension. In general, GA requests a large number of generations to convergence, so it is perhaps the best method for the problems having a low computational cost for the fitness evaluation.…”
Section: Multi-objective Optimization Methods For Phononic Crystalmentioning
confidence: 99%
See 4 more Smart Citations
“…the relative BGW, and therefore it is easier and needs less computational efforts. We solve the SOOP by using the genetic algorithm (GA), [31][32][33][34] which has already been used in the design of structures with a very large search space or high dimension. In general, GA requests a large number of generations to convergence, so it is perhaps the best method for the problems having a low computational cost for the fitness evaluation.…”
Section: Multi-objective Optimization Methods For Phononic Crystalmentioning
confidence: 99%
“…(1) in the form u(r) = e i(k·r) u k (r), where u k (r) is a periodic function of the spatial position vector r with the same periodicity as the structure, and k = (k x , k y ) is the Bloch wave vector. We use FEM to calculate the whole dispersion relations (k-ω) by the ABAQUS/Standard eigen-frequency solver Lanzcos [31][32][33][34] combined with the Python scripts. Because ABAQUS cannot directly solve the eigenvalue equations in complex form, 44 we write the discrete form of the eigenvalue equations in the unit-cell in the form of 44…”
Section: Multi-objective Optimization Methods For Phononic Crystalmentioning
confidence: 99%
See 3 more Smart Citations