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EMsFEM based concurrent topology optimization method for hierarchical structure with multiple substructures.
- Source :
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Computer Methods in Applied Mechanics & Engineering . Jan2024:Part A, Vol. 418, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
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Abstract
- An efficient concurrent topology optimization method based on the Extended Multiscale Finite Element Method (EMsFEM) is proposed to design the hierarchical structure with multiple substructures in this paper. Firstly, the mathematical description model for the topology of hierarchical structures and the interpolation model for material are established at both the macro and substructural levels. Then the concurrent topology optimization formulation for hierarchical structures is proposed based on EMsFEM. After that, the sensitivity analysis scheme of the objective function and constraint functions is given, based on which the Method of Moving Asymptotes (MMA) is employed to update design variables. The assumption of separation of length scales is not required in the proposed method, which avoids the disconnection between adjacent substructures. Besides, without limiting the topology and spatial distribution of substructures in advance, the concurrent topology optimization for hierarchical structures with multiple substructures can be realized using this method. The provided numerical examples verify the correctness and effectiveness of the proposed sensitivity analysis method as well as the feasibility, effectiveness and scalability of the proposed concurrent topology optimization method for hierarchical structures. Finally, the influence of the initial substructure configurations and the number of substructure types on the final configuration and mechanical performance of hierarchical structures are explored with a series of numerical examples. • An efficient concurrent topology optimization method for designing hierarchical structures with multiple substructures is proposed based on the Extended Multiscale Finite Element Method (EMsFEM). • Without aforehand limitation on substructures' topologies and their spatial distribution, the proposed method can simultaneously optimize the topologies and spatial distribution of substructures in hierarchical structures. • The proposed method is free of the assumption of separation of length scales, which not only avoids the connection problem between adjacent substructures but also makes the manufacturing of optimized hierarchical structures of practical significance. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGY
*FINITE element method
Subjects
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 418
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 173631463
- Full Text :
- https://doi.org/10.1016/j.cma.2023.116549