2024-03-28T19:33:50Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00019091
2023-01-16T04:08:04Z
312:313:314
Regular solution to topology optimization problems of continua
Azegami, Hideyuki
Kaizu, Satoshi
Takeuchi, Kenzen
open access
calculus of variations
boundary value problem
topology optimization
density method
H1 gradient method
The present paper describes a numerical solution to topology optimization problems of domains in which boundary value problems of partial differential equations are defined. Density raised to a power is used instead of the characteristic function of the domain. A design variable is set by a function on a fixed domain which is converted to the density by a sigmoidal function. Evaluation of derivatives of cost functions with respect to the design variable appear as stationary conditions of the Lagrangians. A numerical solution is constructed by a gradient method in a design space for the design variable.
日本応用数理学会
2011
eng
journal article
VoR
http://hdl.handle.net/2237/21196
https://nagoya.repo.nii.ac.jp/records/19091
https://doi.org/10.14495/jsiaml.3.1
1883-0609
JSIAM Letters
3
1
4
https://nagoya.repo.nii.ac.jp/record/19091/files/3_1.pdf
application/pdf
188.9 kB
2018-02-21