Article
Engineering, Multidisciplinary
Fuhang Jiang, Leilei Chen, Jie Wang, Xiaofei Miao, Haibo Chen
Summary: A new topology optimization approach is proposed in this paper, which is based on isogeometric boundary element method and piecewise constant level set method, for designing the distribution of sound absorbing materials on structural surfaces. The proposed approach demonstrates accuracy, efficiency, and applicability in engineering design.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali Azari Nejat, Alexander Held, Niklas Trekel, Robert Seifried
Summary: This study proposes an efficient and stable topology optimization algorithm for slender structures by modifying the pseudo-time step size and Lagrange multiplier to replace unacceptable designs, adjusting the normal velocity formulation to avoid instabilities, and adding filtering-like adaptation terms to achieve smoother optimization convergence.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Mechanics
Jiantao Bai, Wenjie Zuo
Summary: This article proposes a level set topology optimization method to design coated structures with multiple infill materials. The method constructs a multi-material interpolation model by combining multiple level set functions and derives shape derivatives for the multi-material optimization model of the coated structures for the first time.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Ying Zhou, Hao Li, Xiaopeng Li, Liang Gao
Summary: This paper presents a systematic optimization design method for multiphase auxetic metamaterials with different deformation mechanisms in both 2D and 3D scenarios. The method utilizes the parametric color level set (PCLS) to accurately describe the microstructures of different material phases and handles multiple material usage constraints efficiently. The design sensitivities are analyzed using the shape derivative theory, and the effective elasticity properties of multiphase composites are evaluated using the numerical homogenization method. Various symmetric conditions are imposed to induce re-entrant and chiral patterns in the metamaterials. The proposed method is demonstrated through numerical examples to tailor different types of multiphase auxetics.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Mian Zhou, Mi Xiao, Yan Zhang, Jie Gao, Liang Gao
Summary: The proposed marching cubes-based isogeometric topology optimization method accurately describes structural boundaries and creates precise material description models, with the addition of relaxed topology derivatives to improve method robustness.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Engineering, Multidisciplinary
Wei Sha, Mi Xiao, Liang Gao, Yan Zhang
Summary: This paper proposes a new level set based multi-material topology optimization method by developing a DS-MMLS model and implementing an alternating active-phase algorithm. The method can be easily extended to topology optimization problems with more material phases and shows significant effectiveness in numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Sandilya Kambampati, Hayoung Chung, H. Alicia Kim
Summary: This paper proposes a new methodology for computing boundary sensitivities in level set topology optimization using the discrete adjoint method. By combining local perturbations with derivatives of the objective function, boundary sensitivities can be calculated. This method avoids the smoothing or interpolation methods typically used in sensitivity calculations, improving accuracy and convergence characteristics.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Yang Liu, Cheng Yang, Peng Wei, Pingzhang Zhou, Jianbin Du
Summary: This paper discusses a new topology optimization method that combines density-based method with level-set description for efficient structural optimization and topological variation. By using a material interpolation with penalty, the update information becomes more distinguished, leading to stable convergence into solid-void solutions. The method is validated through benchmark examples in 2D and 3D, showing advantageous structural representations and better objective function values compared to the widely accepted SIMP method. Several numerical examples and MATLAB codes are provided to demonstrate the method's characteristics.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Xiaopeng Li, Liang Gao, Ying Zhou, Hao Li
Summary: The proposed hybrid level set method simultaneously optimizes supporting structure and embedded component positions and orientations. It represents components and supporting structure using explicit and implicit level sets, allowing for smooth geometries and clear interfaces. By using two sets of design variables in a unified optimization loop, the overall design variables are greatly reduced.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Hao Deng
Summary: This paper presents an efficient MATLAB code for the discrete adjoint-based level set method, which is suitable for 2D stress-constrained problems. The method advances the design boundaries using discrete adjoint sensitivities and allows for the application of general mathematical programming algorithms to handle multiple constraints.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Yi Lin, Weidong Zhu, Jiangxiong Li, Yinglin Ke
Summary: This paper proposes a level set method updated with finite difference scheme for structural topology optimization, using piecewise basis function interpolation for velocity field updating and avoiding the need for complicated upwind scheme and time-consuming reinitialization. Diffusion is introduced into the Hamilton-Jacobi equation, and a three-step splitting method is adopted to solve the equation, ensuring the numerical stability of the optimization process.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Jiajing Li, Liang Gao, Mengli Ye, Hao Li, Lizhou Li
Summary: This study proposes a novel method for the topology optimization of irregular flow domains using a parametric level set method (PLSM). The CS-RBFs-based PLSM is improved to be suitable for nonuniform meshes, expanding its application in engineering. A gradient-based algorithm with Stokes equations as state constraints is used to solve the optimization problem, aiming to minimize power dissipation under the volume constraint of flow channels. The PLSM avoids solving the Hamilton-Jacobi partial differential equation directly, and a self-adaptation support radius approach allows the PLSM to be applied to engineering problems with irregular geometries.
JOURNAL OF COMPUTATIONAL DESIGN AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Cong Wang, Yi Min Xie, Xiaoshan Lin, Shiwei Zhou
Summary: This work uses a parameterized level set function to express the structural profile in structural topology optimization. It minimizes diffusion energy and considers mean compliance under a volume constraint to control structural complexity. The design variables are updated using finite element analysis by solving the reaction-diffusion equation. The proposed method accurately calculates the Lagrangian multiplier of the volume constraint and demonstrates high efficiency in optimizing structures.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Yuanteng Jiang, Min Zhao
Summary: This paper proposes a topology optimization method based on the parameterized level-set method using radial basis functions, which can handle stress minimization and stress-constraint problems. The method utilizes a p-norm function as a stress aggregation function and an adaptive scaling constraint method to measure the maximum stress. The shape derivative is employed to obtain the normal velocities in the parameterized level-set method, and an augmented Lagrange multiplier is used to ensure stability during the convergence process.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Mechanics
Hui Liu, Lianxiong Chen, Tielin Shi, Qi Xia
Summary: In this paper, a novel approach is developed for optimizing the layout and shape of stiffeners based on the Mindlin plate theory. The layout and shape of stiffeners can be controlled by adjusting the design variables, and the coordinate mapping technique and high-order polynomial interpolation technique allow for more complex geometries. Numerical examples demonstrate the effectiveness of the proposed approach.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Qi Xia, Michael Yu Wang, Tielin Shi
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2015)
Article
Physics, Applied
Hangyuan Lv, Xiaoyong Tian, Michael Yu Wang, Dichen Li
APPLIED PHYSICS LETTERS
(2013)
Article
Engineering, Multidisciplinary
Qi Xia, Michael Yu Wang, Tielin Shi
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2014)
Article
Computer Science, Interdisciplinary Applications
Lei Shu, Michael Yu Wang, Zhengdong Ma
COMPUTERS & STRUCTURES
(2014)
Article
Engineering, Multidisciplinary
Yangjun Luo, Michael Yu Wang, Zichen Deng
ENGINEERING OPTIMIZATION
(2013)
Article
Engineering, Multidisciplinary
Qi Xia, Michael Yu Wang, Tielin Shi
ENGINEERING OPTIMIZATION
(2013)
Article
Engineering, Multidisciplinary
Wei Sheng Zhang, Xu Guo, Michael Yu Wang, Peng Wei
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2013)
Article
Automation & Control Systems
Zhihui Liu, Michael Yu Wang, Kedian Wang, Xuesong Mei
INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY
(2013)
Article
Physics, Applied
Michael Yu Wang, Xiaoming Wang
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2013)
Article
Optics
Jia Chen, Xiaojun Wu, Michael Yu Wang, Xuanfu Li
OPTICS AND LASER TECHNOLOGY
(2013)
Article
Engineering, Manufacturing
Liu Zhihui, Michael Yu Wang, Wang Kedian, Mei Xuesong
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART B-JOURNAL OF ENGINEERING MANUFACTURE
(2013)
Article
Computer Science, Interdisciplinary Applications
Qi Xia, Tielin Shi, Shiyuan Liu, Michael Yu Wang
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2013)
Article
Computer Science, Interdisciplinary Applications
Li Li, Michael Yu Wang
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2014)
Article
Computer Science, Interdisciplinary Applications
Peng Wei, Haitao Ma, Michael Yu Wang
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2014)
Proceedings Paper
Automation & Control Systems
Mingdong Zhou, Michael Yu Wang, Li Li
PROCEEDINGS OF THE ASME/ISCIE INTERNATIONAL SYMPOSIUM ON FLEXIBLE AUTOMATION, ISFA 2012
(2013)