Article
Engineering, Multidisciplinary
Wenke Qiu, Shaomeng Jin, Liang Xia, Tielin Shi
Summary: This work develops length scale control schemes for bi-directional evolutionary structural optimization method, enabling an enhanced and flexible control of structural member sizes. The schemes involve constraining local material volumes and post-processing modification of local features to control both maximum and minimum structural length scales, which are proven to be effective and efficient based on benchmark design results in both 2D and 3D cases.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Yongsheng Han, Bin Xu, Yuanhao Liu
Summary: Topology optimization is widely used in academia and industry, with many computer programs published for educational purposes. This study presents a MATLAB implementation of geometrically nonlinear topology optimization code, requiring a minimal number of lines for key steps such as design parameter initialization and sensitivity calculation.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Bin Xu, Yongsheng Han, Lei Zhao
Summary: This paper extends current concepts of topology optimization to the design of structures made of nonlinear materials by proposing an extended BESO method. The method effectively avoids singularity problems in density-based methods and improves convergence through sensitivity and topological variable filters. The effectiveness of the proposed method is demonstrated through several 2D benchmark design problems.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Yongsheng Han, Bin Xu, Zunyi Duan, Xiaodong Huang
Summary: This paper proposes a new methodology for structural topology optimization that takes into account non-linear continuum damage for stress minimization design. A quasi-static non-local damage model is integrated into a linear finite element analysis to model the structural damage, and the Bi-directional Evolutionary Structural Optimization (BESO) method is used to address singularity issues. The effectiveness of the proposed method is demonstrated through numerical tests and comparison with stiffness maximization design.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Yanfa Wu, Wenke Qiu, Liang Xia, Wenbiao Li, Kai Feng
Summary: This work improves a previous stress-constrained topology optimization method and applies it to a typical aircraft engine bracket design problem. The improved method uses a more efficient and versatile self-adaptive scheme for determining the Lagrange multiplier, resulting in a bracket design that outperforms the original in terms of weight, stiffness, and strength.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Yongsheng Han, Bin Xu, Qian Wang, Yuanhao Liu
Summary: This study proposes a method for topology optimization of continuum structures with density-dependent inertial loads, including self-weight, centrifugal forces, and acceleration of inertial loads, using an extended bi-directional evolutionary structural optimization method. The approach considers different combinations of inertial loads and fixed forces to achieve maximum stiffness, with detailed computation of element sensitivity numbers for optimum design. MATLAB programming and testing on benchmark examples show that inertial loads significantly impact topological structure, especially when external forces are small, resulting in changes to the objective function and fast convergence rates.
ADVANCES IN ENGINEERING SOFTWARE
(2021)
Article
Engineering, Civil
Majid Movahedi Rad, Muayad Habashneh, Janos Logo
Summary: This paper presents a reliability-based geometrically nonlinear topology optimization method, calculating the probability of failure and reliability index through Monte-Carlo simulation, and considering the impact of geometrically nonlinear design using the bi-directional evolutionary structural optimization (BESO) method.
Article
Engineering, Mechanical
Junseok Shin, Cheol Kim
Summary: This study combines deep learning and neural networks with the BESO topology method, utilizing pre-trained digital images to quickly obtain optimal topology solutions. A new post-processor is developed to reconstruct the relative locations among finite elements in the raw outputs, resulting in improved optimization efficiency.
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
(2022)
Article
Engineering, Mechanical
Muayad Habashneh, Majid Movahedi Rad
Summary: The paper proposes a novel computational technique for thermoelastic structural topology optimization based on reliability-based design. The volume fraction parameter is treated as a random variable and a Monte Carlo simulation approach is used to calculate the reliability index. A new bi-directional evolutionary structural optimization scheme is developed, taking into account the impact of changing constraints in deterministic and probabilistic problems. The effectiveness of the approach is demonstrated using benchmark problems and a 2D L-shaped beam problem.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2023)
Article
Engineering, Multidisciplinary
G. L. Garcez, R. Picelli, R. Pavanello
Summary: This article presents an approach for structural topology optimization based on stress, considering design-dependent surface loads. The algorithm adapts the stress minimization version of the bi-directional evolutionary structural optimization method and incorporates surface loads. The P-norm of von Mises stress is used as an aggregate function, and volume constraints are applied. Stresses are obtained using the finite element method for two-dimensional elastic structures. Sensitivity analysis is conducted using the adjoint method, including design-dependent surface loads. Three examples, including the piston head problem, simply supported beam, and L-bracket, demonstrate the effectiveness of the proposed method in reducing maximum stress and generating easily manufacturable topologies.
ENGINEERING OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
D. C. Goncalves, J. D. F. Lopes, R. D. S. G. Campilho, J. Belinha
Summary: Topology optimization is a powerful computational tool for designing lightweight components in the additive manufacturing industry. While the Finite Element Method (FEM) is commonly used, this study explores the application of meshless methods in topology optimization. The combination of a bi-directional structural optimization algorithm and the Natural Neighbour Radial Point Interpolation Method (NNRPIM) is proposed and successfully implemented in the design of automotive lightweight components. This approach provides a solid technique for optimization algorithms and offers innovative design possibilities for additive manufacturing in the automotive industry.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Tao Xu, Xiaoshan Lin, Yi Min Xie
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
Multidisciplinary Sciences
Muayad Habashneh, Majid Movahedi Rad
Summary: This paper presents a method of integrating reliability-based analysis into topology optimization problems, and applies it to the optimization of geometrically nonlinear elasto-plastic models. The effects of changing the total structural volume constraint and the reliability index are considered. The bi-directional evolutionary structural optimization method is used to study the effect of geometrically nonlinear elasto-plastic design.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Majid Movahedi Rad, Muayad Habashneh, Janos Logo
Summary: This paper presents a new computational technique for reliability-based design considering the effect of geometrically and materially nonlinear imperfect analysis. A bidirectional evolutionary structural optimization scheme is developed, and a comparison is made between perfect and imperfect nonlinear analysis topology optimization designs. The proposed method successfully finds the optimal topology for reliability-based design using both perfect and imperfect nonlinear analysis.
COMPUTERS & STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Heitor Nigro Lopes, Jarir Mahfoud, Renato Pavanello
Summary: This study focuses on topology optimization and wave propagation analysis of frequency separation interval in continuous elastic bi-dimensional structures in the high-frequency domain. The algorithm, based on BESO, considers multiple modes by using weighted natural frequency. The optimized structural topologies are well-defined, with satisfactory natural frequency separation intervals.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)