Stress‐based multi‐material topology optimization of compliant mechanisms
In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set...
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Published in | International journal for numerical methods in engineering Vol. 113; no. 7; pp. 1021 - 1044 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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17.02.2018
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Abstract | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. |
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AbstractList | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. Abstract In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. |
Author | Gao, Liang Luo, Zhen Xiao, Mi Chu, Sheng Li, Hao |
Author_xml | – sequence: 1 givenname: Sheng surname: Chu fullname: Chu, Sheng organization: Huazhong University of Science and Technology – sequence: 2 givenname: Liang surname: Gao fullname: Gao, Liang organization: Huazhong University of Science and Technology – sequence: 3 givenname: Mi orcidid: 0000-0002-5544-9935 surname: Xiao fullname: Xiao, Mi email: xiaomi@hust.edu.cn organization: Huazhong University of Science and Technology – sequence: 4 givenname: Zhen surname: Luo fullname: Luo, Zhen organization: The University of Technology, Sydney – sequence: 5 givenname: Hao surname: Li fullname: Li, Hao organization: The University of Technology, Sydney |
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Snippet | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A... Abstract In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress... In this paper, a level-set-based method is presented to deal with the multi-material topology optimization of compliant mechanisms with stress constraints. A... |
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SubjectTerms | compliant mechanisms level set method Mathematical models Multiple objective analysis multi‐material topology optimization Sensitivity analysis stress constraint Stresses Topology optimization |
Title | Stress‐based multi‐material topology optimization of compliant mechanisms |
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