Details
| Original language | English |
|---|---|
| Article number | 178 |
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 66 |
| Issue number | 8 |
| Early online date | 18 Jul 2023 |
| Publication status | Published - Aug 2023 |
Abstract
Topology optimization at the continuum nano/microscale is of wide interest in designing and developing more efficient micro/nano electromechanical systems. This paper presents a new methodology for topology optimization of microstructures that is based on perturbation analysis and the penalty methods. The homogenized material coefficients are numerically computed based on perturbation analysis, and periodic boundary conditions are imposed by the penalty methods. The sensitivity analysis is implemented directly without the adjoint method. The extension of the proposed method to the design of components for multi-field analysis is straightforward. The capability and performance of the presented methodology are demonstrated through several numerical examples.
Keywords
- Homogenization, Microstructure, Penalty methods, Perturbation analysis, Topology optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Control and Optimization
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In: Structural and Multidisciplinary Optimization, Vol. 66, No. 8, 178, 08.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Topology optimization of microstructures with perturbation analysis and penalty methods
AU - Li, Bin
AU - Zhuang, Xiaoying
AU - Fu, Xiaolong
AU - Rabczuk, Timon
N1 - Funding Information: The authors acknowledge the support from ERC Starting Grant (802205) and China Scholarship Council (CSC) (No.202006260243).
PY - 2023/8
Y1 - 2023/8
N2 - Topology optimization at the continuum nano/microscale is of wide interest in designing and developing more efficient micro/nano electromechanical systems. This paper presents a new methodology for topology optimization of microstructures that is based on perturbation analysis and the penalty methods. The homogenized material coefficients are numerically computed based on perturbation analysis, and periodic boundary conditions are imposed by the penalty methods. The sensitivity analysis is implemented directly without the adjoint method. The extension of the proposed method to the design of components for multi-field analysis is straightforward. The capability and performance of the presented methodology are demonstrated through several numerical examples.
AB - Topology optimization at the continuum nano/microscale is of wide interest in designing and developing more efficient micro/nano electromechanical systems. This paper presents a new methodology for topology optimization of microstructures that is based on perturbation analysis and the penalty methods. The homogenized material coefficients are numerically computed based on perturbation analysis, and periodic boundary conditions are imposed by the penalty methods. The sensitivity analysis is implemented directly without the adjoint method. The extension of the proposed method to the design of components for multi-field analysis is straightforward. The capability and performance of the presented methodology are demonstrated through several numerical examples.
KW - Homogenization
KW - Microstructure
KW - Penalty methods
KW - Perturbation analysis
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85165233177&partnerID=8YFLogxK
U2 - 10.1007/s00158-023-03612-x
DO - 10.1007/s00158-023-03612-x
M3 - Article
AN - SCOPUS:85165233177
VL - 66
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 8
M1 - 178
ER -