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oai:gunma-u.repo.nii.ac.jp:00003096 2023-06-19T13:12:10Z 572:575:576

Structural Optimization under Topological Constraint Represented by Homology Groups : 4th Report, An Example of Its Application to Topology Optimization by the Use of Density Approach ホモロジー群による位相制約下における構造最適化 : 第4報, 密度法によるトポロジー最適化への適用例 Structural Optimization under Topological Constraint Represented by Homology Groups : 4th Report, An Example of Its Application to Topology Optimization by the Use of Density Approach 中西, 康彦 7251 Optimum Design Computational Mechanics Numerical Analysis Finite Element Method Homology Theory Invariant Factors Density Approach Topology application/pdf Journal Article In the process of topology optimization, topology of a structure is, in general, changed in succession. In this paper, a method of inferring the change of topology is proposed. This method makes it possible to impose constraint conditions upon topology of the structure. Topological constraint conditions can be expressed by homology groups. As a numerical example, topology of a plate is optimized using an artificial model (the density approach) under topological constraint conditions that (I) the structure is not divided into pieces during the optimization process, and (II) the number of holes is less than or equal to the prescribed number. As a result, it was found that (1) topological constraints were correctly satisfied by the proposed method, (2) the least useful members tend to be removed by topological constraints, and other ones are reinforced, and (3) the strain energy of structures obtained under certain topological constraints is somewhat higher than that of ones without topological constraints journal article 日本機械学会 2003-11-25 2017-03-27 VoR application/pdf 日本機械学會論文集. A編 687 69 1606 1612 0387-5008 AN0018742X https://gunma-u.repo.nii.ac.jp/record/3096/files/A69_1606.pdf http://hdl.handle.net/10087/2482 https://gunma-u.repo.nii.ac.jp/records/3096 jpn http://ci.nii.ac.jp/naid/110002370489/ 日本機械学会 本文データは学協会の許諾に基づきCiNiiから複製したものである