Article
Computer Science, Interdisciplinary Applications
J. Triller, R. Immel, L. Harzheim
Summary: This paper extends the DiESL method to topology optimization using the SIMP approach, and tests it on the problem of a rigid pole colliding with a simple beam. The results show a significant improvement compared to the standard ESL method.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Min-Ho Jeong, Sang-Ok Park, Gyung-Jin Park
Summary: The equivalent static loads method (ESLM) is a structural optimization method that can consider nonlinear and dynamic responses. It has been used in various structural optimization disciplines such as size, shape, and topology optimizations. However, the existing ESLM has a limitation of considering only one finite element model. This study aims to expand ESLM to multi-model optimization and discusses its performance using size and topology optimization examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Mechanical
Sang-ok Park, Wook-Han Choi, Gyung-Jin Park
Summary: Viscoelastic material is widely used in automotive structures for its excellent vibration-damping characteristics and appropriate stiffness. The material properties of viscoelastic material are dependent upon time, temperature, and loading path, which need to be considered in structural optimization. The Equivalent Static Loads Method (ESLM) is a practical structural optimization method for considering the characteristics of viscoelastic material.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART D-JOURNAL OF AUTOMOBILE ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Mathias Stolpe, Nicola Pollini
Summary: The Equivalent Static Loads (ESL) algorithm for nonlinear static response structural optimization has been modified to improve convergence towards designs satisfying first-order optimality conditions. The modifications involve incorporating first-order estimates of the equivalent static loads in the sub-problems and stabilizing the algorithm through a trust-region approach. The practical convergence properties of the original and modified algorithms are assessed through numerical experiments on a set of reproducible structural size optimization problems. The results demonstrate the proposed algorithm's capability to numerically find optimized designs that satisfy first-order optimality conditions with moderate computational resources.
ADVANCES IN ENGINEERING SOFTWARE
(2023)
Article
Mechanics
Yijae Choi, Wonmo Kang, Jaemin Moon, Chang -Wan Kim
Summary: Sandwich composite structures under dynamic loads were optimized using the equivalent static load method. The ESLM achieved a convergence rate 24 times faster than the conventional method.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Aerospace
Lei Wang, Yaru Liu, Xiaojun Wang, Zhiping Qiu
Summary: Due to the prevalence of multi-source uncertainties in practical engineering, reliability-based design optimization for structural dynamics is of great importance and significance. However, it has been rarely considered in topology optimization compared to size and shape optimization, mainly due to the lack of reasonable uncertainty cognition and the difficulty in solving sensitivity solutions for reliability constraints calculated from dynamic characteristics. Thus, this study proposes a new design strategy that combines the equivalent static loads algorithm with the set-theoretical convex method for dynamic response topology optimization under convex reliability constraints.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Engineering, Multidisciplinary
Mustafa Al-Bazoon, Jasbir S. Arora
Summary: This paper introduces a new computational procedure for optimizing structures under dynamic loads. By transforming dynamic loads into equivalent static loads and utilizing metaheuristic optimization algorithms, the static response optimization problem with discrete design variables can be solved. However, it is found that ESL cycles cannot converge to the final design, thus original dynamic loads need to be used in the optimization process after several ESL cycles.
OPTIMIZATION AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Bong Ju Chun, In Gwun Jang
Summary: This study presents the feasibility of using representative static loads (RSLs) to efficiently consider the effect of dynamic loads on bone remodeling simulation. Results show that the use of RSLs can significantly reduce function calls and errors in bone spatial distribution.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2021)
Article
Computer Science, Interdisciplinary Applications
Weigang An, Xu Han, Andres Tovar, Shigen Wang
Summary: This work presents an optimization procedure to enhance the crashworthiness of full-size vehicle structures by targeting the acceleration-time response during a crash event, utilizing topometry optimization and a moving coordinate system. The proposed method improves crashworthiness indicators such as specific energy absorption and maximum deceleration by setting a target ATR curve. The iterative algorithm effectively finds element thickness distribution to gradually approach the target curve for the vehicle's center of gravity in less than 15 crash simulations.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Yaru Liu, Lei Wang, Dongliang Liu
Summary: This study introduces an interval reliability-based topology optimization scheme for the lightweight design of continuum structures. It converts the dynamic performance optimization problem into a multi-case time-invariant format using discretization and equivalent static loads approach. The set quantitative model and interval dimension-by-dimension method are proposed to handle uncertainties in the dynamic responses. A new non-probabilistic reliability index is defined and analyzed for each intermediate density to ensure structural safety and robustness. The proposed techniques are demonstrated and validated through numerical examples.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Lei Wang, Zeshang Li, Kaixuan Gu
Summary: This paper proposes an efficient dynamic robust topology optimization method that optimizes the overall dynamic response of a structure at full time. By adopting the equivalent static load method and the parametric Level-Set method, the dynamic response is efficiently obtained and the stability and efficiency of topology optimization are balanced. Additionally, uncertainty characterization methods based on interval model are used to account for the impact of uncertainties, effectively quantifying them in the optimization process. The proposed method is applied to important structures in aeronautical engineering, with three examples demonstrating its effectiveness in different aspects.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Namhee Ryu, Kwang Hyeon Hwang, Jong Ho Park, Seungjae Min
Summary: This paper presents a multi-objective topology optimization process for the body structure of the suspension mounting point to determine the optimum configuration that reduces the acceleration under external dynamic loads. It discusses the challenges in determining the optimum reinforcing bracket configurations due to discontinuous material distribution and ambiguous design variables, especially when considering dynamic loads. The systematic approach used in the study considers both dynamic and static loads simultaneously to derive a continuous design that is suitable for manufacturability and improves overall vehicle acceleration within a limited amount of material.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Paolo Venini, Marco Pingaro
Summary: This paper proposes an innovative topology optimization approach that can handle both static and dynamic cases, as well as multiple objectives and loads. The key idea is the input-to-output transfer matrix, which is decomposed using singular value decomposition to determine the mapping between inputs and outputs. The paper provides detailed numerical examples and highlights ongoing investigations for further research.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Jakob S. Jensen
Summary: A new fictitious domain model for topology optimization based on a wave to diffusion equation transition is proposed in this study, which achieves a tunable exponential decay of field amplitude by using negative values of material coefficients. The model demonstrates meaningful designs and solves structural artifacts issues in both acoustic and structural topology optimization problems, compared to conventional models.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Mechanical
Jinhu Cai, Long Huang, Hongyu Wu, Lairong Yin
Summary: This study presents a robust concurrent topology optimization method for periodic microstructures considering dynamic load uncertainty. The objective function is formulated as a sum of the mean and standard deviation of the structural dynamic compliance modulus. Constraints are imposed on the macro-structure and material microstructure volumes. The proposed hybrid dimension reduction method and Gauss integral method quantifies and propagates load uncertainty for estimation of the objective function. A decoupled sensitivity analysis method is proposed to reduce computation burden.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)