2024-03-29T10:44:14Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00019031
2023-01-16T04:32:27Z
312:313:314
Solution to shape fitting problem using density as design variable
密度を設計変数に用いた形状適合問題の解法
小倉, 章弘
55520
畔上, 秀幸
55521
KOKURA, Akihiro
55522
AZEGAMI, Hideyuki
55523
Medical engineering
Computational biomechanics
Socoliosis
Optimum design
Density optimization
H1 gradient method
This paper presents a numerical method to construct a finite element model of a disorder in skeletal system by deforming a finite element model of normal shape. A boundary shape of a. disorder is assumed to be given as a reference displacement defined on a subboundary of the normal model based on medical images. We construct a problem to find the optimum deformation of the normal model that minimizes a square error integral on the subboundary between the hyper elastic deformation of the normal model and the boundary shape of the disorder by varying a design variable for density of the normal model. We show an evaluation method of the derivative of the square error integral of displacement with respect to the design variable, and a solution to the present problem by a gradient method. Finally, a numerical example for spine is introduced.
journal article
一般社団法人日本機械学会
2010-12
application/pdf
日本機械学会第9回最適化シンポジウム講演論文集
10-67
http://hdl.handle.net/2237/21122
https://nagoya.repo.nii.ac.jp/record/19031/files/10_2010_Kokura.pdf
jpn