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Article
Mechanics
Xiaolei Yan et al.
Summary: This paper proposes a manufacturing-oriented topology optimization method for designing continuous fiber reinforced composite structures. The method optimizes both the fiber content and fiber orientation, achieving a smooth design with explicit boundary. To improve manufacturability, a fiber placement path fitting method based on the potential flow theory is proposed and embedded in the optimization procedure.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Christoffer Fyllgraf Christensen et al.
Summary: Topology optimization has been used for maximizing stiffness or minimizing compliance in multiscale structures. This study focuses on optimizing buckling stability of multiscale structures with isotropic porous infill, by considering both local and global instability.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Thanh T. Banh et al.
Summary: Considering stress and stability factors is crucial in topology optimization. This study presents an efficient stress-based structural stability approach for multiple materials. The method utilizes the SIMP method and interpolated material tensors to describe the layout of the multimaterial structure. An adaptive continuation method is developed for stability constraints and to determine penalization parameter values. The proposed approach effectively considers both stress and stability factors, leading to better designs in topology optimization problems involving multiple materials.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Multidisciplinary
Federico Ferrari et al.
Summary: In this study, a strategy is introduced to prevent the occurrence of spurious modes in the spectrum computed by linearized buckling analysis in the context of topology optimization. Spurious buckling modes commonly appear in low density regions, but this study also highlights the occurrence of localized modes in solid areas due to the limitations of linearized buckling analysis. The proposed remedy involves using filtering and erosion operations on the stress field, helping to mitigate the occurrence of spurious modes and improve the optimization process towards high performance designs.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Operations Research & Management Science
Yun-Fei Fu et al.
Summary: This study proposes a non-penalization Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT) algorithm, which uses discrete variable sensitivities for solid, void, and assumed boundary elements. The material penalization scheme is eliminated in this algorithm. The efficiency and effectiveness of the non-penalized algorithm are demonstrated through case studies and comparisons with the penalized algorithm, showing stronger convergence and improved results.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
Tao Xu et al.
Summary: A novel topology optimization method based on the bi-directional evolutionary structural optimization (BESO) method is proposed in this study to increase buckling resistance in structural design. The method uses only two discrete statuses for design variables to alleviate numerical issues associated with pseudo buckling modes. Multiple buckling constraints are aggregated into a differentiable one using the Kreisselmeier-Steinhauser aggregation function. The developed optimization algorithm with buckling constraints significantly improves structural stability with a slight increase in compliance, as shown in numerical results.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Multidisciplinary
Guodong Zhang et al.
Summary: This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to low -density elements is proposed. The numerical results demonstrate that the nonlinear stability constraints can ensure structural stability at the target load under large deformations.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Vilmer Dahlberg et al.
Summary: We propose an efficient computational approach for continuum topology optimization with linearized buckling constraints, using Reduced Order Models (ROM). A reanalysis technique is utilized to generate basis vectors, reducing the size of the generalized eigenvalue problems significantly. The approach is demonstrated through stiffness optimization with buckling constraints and shows promising results for various test cases. Based on the findings, we conclude that the ROM has the potential to save significant computational effort without compromising the quality of the results.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Daniel Huebner et al.
Summary: In recent years, there has been increased interest in components with detailed structures due to advancements in manufacturing techniques. Our study focuses on the optimization of graded lattice structures to enhance both global and local buckling resistance. We propose a two-scale optimization method based on asymptotic homogenization and a worst-case model to address pure local buckling and improve overall stability. Numerical examples and validations demonstrate the effectiveness of our approach, and the limitations and advantages of the worst-case model are discussed.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Weihong Zhang et al.
Summary: This work introduces a new feature-driven structural topology optimization method to address the buckling effect under compression load. By employing stress relaxation strategy and feature-driven topology variation model, optimization involving buckling constraints is achieved. Additionally, a systematic study on the influences of solid and void feature definition, initial layout, number of design features, and minimum feature size is conducted.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Liangbing Guo et al.
Summary: This paper presents a reliability-based topology optimization (RBTO) model considering buckling and compliance constraints. The Kreisselmeier-Steinhauser aggregation function and a modified chaos control strategy are utilized to improve computational efficiency and robustness. Sensitivities of the probabilistic constraint with respect to design and random variables are derived and verified through finite difference method.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Baoshou Liu et al.
Summary: The rapid development of additive manufacturing provides new opportunities for fabricating multi-material structures. However, the graded-interface assumption between different materials often poses challenges in topology optimization. This study proposes a new element-based topology optimization algorithm that explicitly considers interface types and allows precise control of interface width. Numerical examples demonstrate that the optimized designs using this method achieve lower compliance compared to traditional multi-material designs.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Xiaodong Huang et al.
Summary: This paper proposes a three-field floating projection topology optimization (FPTO) method using linear material interpolation. The method enhances the formation of structural topology and can be extended to robust formulation. The effectiveness and advantage of the proposed method are demonstrated through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Xiaodong Huang
Summary: The traditional element-based topology optimization based on material penalization typically aims at a 0/1 design. This paper proposes a floating projection topology optimization method for seeking a smooth design using the ersatz material model or a 0/1 design using a material penalization model. The proposed method combines floating projection constraint with upper and lower bounds to simulate 0/1 constraints of design variables, showing capability in obtaining 0/1 or smooth designs for compliance minimization problems.
ADVANCES IN ENGINEERING SOFTWARE
(2021)
Article
Computer Science, Interdisciplinary Applications
Federico Ferrari et al.
Summary: The Matlab code presented here is designed for topology optimization based on linearized buckling criteria, handling multiple objectives or constraints efficiently. By using aggregation functions, sequential approximation, and vectorized implementation, the code improves efficiency and reduces computational bottlenecks. This allows for solving buckling topology optimization problems of significant size on a laptop, demonstrating code flexibility and performance through structural design examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Anna Dalklint et al.
Summary: This paper demonstrates how a strain energy transition approach can be used to remove artificial buckling modes that often occur in stability constrained topology optimization problems. Through the use of nonlinear large deformation hyperelastic simulation, combined with Newton's method and eigenvalue analysis, as well as Helmholtz PDE-filter and method of moving asymptotes, the design optimization is successfully achieved, and the effectiveness of the method is validated through numerical examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Xingjun Gao et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Engineering, Civil
Xiaodong Huang
ENGINEERING STRUCTURES
(2020)
Article
Computer Science, Interdisciplinary Applications
Federico Ferrari et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Engineering, Multidisciplinary
Bing Yi et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Computer Science, Interdisciplinary Applications
Scott Townsend et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Materials Science, Multidisciplinary
Wei Chen et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2019)
Article
Engineering, Multidisciplinary
Christian Rye Thomsen et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2018)
Article
Computer Science, Interdisciplinary Applications
David J. Munk et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2017)
Article
Mechanics
Xingjun Gao et al.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2017)
Article
Computer Science, Interdisciplinary Applications
Xingjun Gao et al.
COMPUTERS & STRUCTURES
(2015)
Article
Computer Science, Interdisciplinary Applications
Fengwen Wang et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2011)
Article
Computer Science, Interdisciplinary Applications
Chau Le et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2010)
Article
Engineering, Multidisciplinary
M. Bruggi et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2008)
Article
Computer Science, Interdisciplinary Applications
M. Bruyneel et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2008)
Article
Computer Science, Interdisciplinary Applications
R Kemmler et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2005)
Article
Computer Science, Interdisciplinary Applications
CG Raspanti et al.
COMPUTERS & CHEMICAL ENGINEERING
(2000)
