Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

Wang, Yingjun; Li, Xinqing; Long, Kai; Wei, Ping

doi:10.32604/cmes.2023.027603

Cited by 13 publications

(8 citation statements)

References 144 publications

(177 reference statements)

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“…As a sophisticated mathematical methodology, topology optimization methodically calibrates the material distribution within a preordained spatial envelope based on specific load scenarios, constraints, and performance metrics [10,34]. In order to optimize the web layout of the large cavity, this paper employs the variable density method.…”

Section: Topology Optimization Formulation 31 Density Methodsmentioning

confidence: 99%

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Yang,

Sun,

Jin

2024

CMES

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Large cavity structures are widely employed in aerospace engineering, such as thin-walled cylinders, blades and wings. Enhancing performance of aerial vehicles while reducing manufacturing costs and fuel consumption has become a focal point for contemporary researchers. Therefore, this paper aims to investigate the topology optimization of large cavity structures as a means to enhance their performance, safety, and efficiency. By using the variable density method, lightweight design is achieved without compromising structural strength. The optimization model considers both concentrated and distributed loads, and utilizes techniques like sensitivity filtering and projection to obtain a robust optimized configuration. The mechanical properties are checked by comparing the stress distribution and displacement of the unoptimized and optimized structures under the same load. The results confirm that the optimized structures exhibit improved mechanical properties, thus offering key insights for engineering lightweight, high-strength large cavity structures.

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Section: Topology Optimization Formulation 31 Density Methodsmentioning

confidence: 99%

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Yang,

Sun,

Jin

2024

CMES

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“…Por fim, caso o leitor tenha interesse e queira entender mais sobre a aplicabilidade e funcionamento do processo de otimização topológica na análise estrutural, alguns códigos disponíveis podem ser encontrados em Chandrasekhar e Suresh (2021) [17], Picelli et al ( 2021) [18], Gao et al (2021) [19], Ferrari e Sigmund (2020) [20] e Wang et al (2023) [21].…”

Section: Otimização Topológica Com Não Linearidade Para Estruturas Co...unclassified

Verificação de um algoritmo de otimização topológica com não linearidade geométrica

Reis Amaral,

Coutinho Ungaretti Rossi,

Fontana Barazzutti

et al. 2023

Sci. Plena

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O projeto de estruturas otimizadas está se tornando cada vez mais importante devido à escassez de recursos, competições tecnológicas e questões de proteção ambiental. Ao considerar vários casos de carga e materiais, a otimização estrutural busca produzir um projeto que seja econômico e seguro. A otimização topológica se tornou bastante difundida entre as engenharias e atualmente é aplicada em muitos campos de pesquisa. A maioria dos estudos de otimização topológica são realizados sob as premissas do comportamento elástico linear, que idealiza o material e impõe o equilíbrio em relação à configuração de referência (não deformada) da estrutura. No entanto, as suposições de linearidade são muito restritivas para problemas avançados. Neste contexto, este trabalho irá verificar um algoritmo baseado no método de otimização topológica com não linearidade geométrica para problemas em estado plano de tensão. O código proposto foi desenvolvido no software MATLAB. A verificação do código com não linearidade geométrica ocorre a partir da replicação do caso de uma viga em balanço carregada na extremidade. O processo de otimização com não linearidade, ao contrário da otimização topológica linear, deve apresentar dependência da magnitude da carga. Os resultados obtidos demonstram uma boa estabilidade durante o processo iterativo e topologias assimétricas são geradas.

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“…Finally, the distribution of sound‐absorbing materials on the surface of the sound barrier is optimized using the method of moving asymptotes (MMA) 33 . The solid isotropic material with penalization (SIMP) 34 technique is used to force the solution rapidly to approach 0 or 1, where 0 and 1 denote the void and the material, respectively. Although the SIMP method can eliminate intermediate densities, some intermediate‐density elements still exist in actual optimization.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis and material distribution optimization for sound barriers using a semianalytical meshless method

Liu,

Wang,

Zhang

2023

Int Journal of Mech Sys Dyn

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With the increase in car ownership, traffic noise pollution has increased considerably and is one of the most severe types of noise pollution that affects living standards. Noise reduction by sound barriers is a common protective measure used in this country and abroad. The acoustic performance of a sound barrier is highly dependent on its shape and material. In this paper, a semianalytical meshless Burton–Miller‐type singular boundary method is proposed to analyze the acoustic performance of various shapes of sound barriers, and the distribution of sound‐absorbing materials on the surface of sound barriers is optimized by combining a solid isotropic material with a penalization method. The acoustic effect of the sound‐absorbing material is simplified as the acoustical impedance boundary condition. The objective of optimization is to minimize the sound pressure in a given reference plane. The volume of the sound‐absorbing material is used as a constraint. The density of the nodes covered with the sound‐absorbing material is used as the design variable. The method of moving asymptotes was used to update the design variables. This model completely avoids the mesh discretization process in the finite element method and requires only boundary nodes. In addition, the approach also does not require the singular integral calculation in the boundary element method. The method is illustrated and validated using numerical examples to demonstrate its accuracy and efficiency.

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Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

Cited by 13 publications

References 144 publications

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Verificação de um algoritmo de otimização topológica com não linearidade geométrica

Performance analysis and material distribution optimization for sound barriers using a semianalytical meshless method

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