2024-03-19T13:45:09Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00005654
2023-01-16T03:50:21Z
312:313:314
成長の構成則を用いた形状最適化手法の提案 (静的弾性体の場合)
A Proposal of Shape Optimization Method by Using a Constitutive Equation of Growth (In the Case of Static Elastic Body)
畔上, 秀幸
Azegami, Hideyuki
open access
日本機械学会
Optimum Design
Shape
Uniform Strength
Constitutive Equation of Growth
FEM
A simple method for shape optimization of a static elastic body in a sense of uniform strength is newly proposed. The idea from which the method originated came from the growth behavior of living things, such as trees or bones, responding to a stress accompanying a load. On the use of the method, the optimum shape is formed by iterating a usual elastic analysis and incremental growth analysis by using a constitutive equation of growth with the result of the elastic analysis, without a particular technique for mathematical optimization programming or a steep extension of memory for calculation of the sensitivity. The growth law is given as a relation between incremental growth strain and a deviation of objective stress indicating the strength from basic stress. Two examples of a cantilever beam loaded at its tip and a column loaded at its tip under the influence of gravity are analyzed to show the effectiveness of the proposed method.
日本機械学会
1988-12
jpn
journal article
VoR
http://hdl.handle.net/2237/7260
https://nagoya.repo.nii.ac.jp/records/5654
0387-5008
日本機械学会論文集 A編
54
508
2167
2175
https://nagoya.repo.nii.ac.jp/record/5654/files/JSME-A54-2167.pdf
application/pdf
979.3 kB
2018-02-19