The Augmented Lagrangian Method for Topology Optimization Subject to Multiple Nodal Displacement Constraints

被引：0

作者：

Chen Z. ^{[1
,2
]}

Long K. ^{[1
]}

Zhang C. ^{[1
]}

Yang X. ^{[1
]}

Liu X. ^{[3
]}

机构：

[1] State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources, North China Electrical Power University, Beijing

[2] School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou

[3] Huaneng Clean Energy Research Institute, Beijing

来源：

Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics | 2023年 / 35卷 / 03期

关键词：

augmented Lagrangian; lightweight design; nodal displacement constraints; topology optimization;

D O I：

10.3724/SP.J.1089.2023.19364

中图分类号：

学科分类号：

摘要：

To address the design requirements of deformation resistance of structural load-bearing surfaces, a multiple nodal displacement constraint topology optimization method is proposed in the augmented Lagrangian framework. Firstly, a topological optimization formulation is established, with multiple nodal displacement as the constraints and volume fraction minimization as the objective. Secondly, the multi-constrained optimization problem is subsequently transformed into an unconstrained optimization problem by converting numerous displacement constraint functions into the objective function by the augmented Lagrangian method. Finally, the unconstrained optimization problem is then solved using the method of moving asymptotes. Numerical results demonstrate that, when compared to the aggregation method, the proposed method is more robust, efficient, and parameter-independent. By comparison with formulation for compliance minimization, the proposed method can effectively control deformation in the local region, which is critical for engineering applications such as lightweight design of wind turbine blades. © 2023 Institute of Computing Technology. All rights reserved.

引用

页码：474 / 481

页数：7

共 22 条

[1]

Sigmund O, Maute K., Topology optimization approaches, Structural and Multidisciplinary Optimization, 48, 6, pp. 1031-1055, (2013)

[2]

Deaton J D, Grandhi R V., A survey of structural and multidisciplinary continuum topology optimization: post 2000, Structural and Multidisciplinary Optimization, 49, 1, pp. 1-38, (2014)

[3]

Sui Yunkang, Peng Xirong, The improvement for the ICM method of structural topology optimization, Acta Mechanica Sinica, 37, 2, pp. 190-198, (2005)

[4]

Rong J H, Yi J H., A structural topological optimization method for multi-displacement constraints and any initial topology configuration, Acta Mechanica Sinica, 26, 5, pp. 735-744, (2010)

[5]

Huang X D, Xie Y M., Evolutionary topology optimization of continuum structures with an additional displacement constraint, Structural and Multidisciplinary Optimization, 40, 1-6, pp. 409-416, (2010)

[6]

Zuo Z H, Xie Y M., Evolutionary topology optimization of continuum structures with a global displacement control, Computer-Aided Design, 56, pp. 58-67, (2014)

[7]

Qiao H T, Liu S T., Topology optimization by minimizing the geometric average displacement, Engineering Optimization, 45, 1, pp. 1-18, (2013)

[8]

Yu Liaohong, Rong Jianhua, Tang Chengtie, Et al., Multi-phase material structural topology optimization design based on feasible domain adjustment, Acta Aeronautica et Astronautica Sinica, 39, 9, pp. 112-128, (2018)

[9]

Long Kai, Chen Zhuo, Gu Chunlu, Et al., Structural topology optimization method with maximum displacement constraint on load-bearing surface, Acta Aeronautica et Astronautica Sinica, 41, 7, pp. 186-193, (2020)

[10]

Chen Z, Long K, Wang X, Et al., A new geometrically nonlinear topology optimization formulation for controlling maximum displacement, Engineering Optimization, 53, 8, pp. 1283-1297, (2021)

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