Multi-material topology optimization based on multiple simp of variable density method
There are many methods for solving the topology optimization problem of single-material. It is a great challenge how to utilize existing methods or make appropriate improvements to solve multi-material topology optimization problems. In this paper, a multiple solid isotropic material with penalizati...
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| Published in | Journal of mechanical science and technology Vol. 38; no. 2; pp. 749 - 759 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Seoul
Korean Society of Mechanical Engineers
01.02.2024
Springer Nature B.V 대한기계학회 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1738-494X 1976-3824 |
| DOI | 10.1007/s12206-024-0124-y |
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| Abstract | There are many methods for solving the topology optimization problem of single-material. It is a great challenge how to utilize existing methods or make appropriate improvements to solve multi-material topology optimization problems. In this paper, a multiple solid isotropic material with penalization model (SIMP) of variable density method is proposed to solve the problem of multi-material topology optimization. All candidate materials, including void material, are arranged in descending order of elastic modulus. The material conversion scheme of multiple SIMP is based on the elastic modulus of the candidate material after interpolation. The iterative criterion of multi-material topology optimization is derived from the Kuhn-Tucker condition using the guide-weight method. The innovation of this paper is to transform the multi-material topology optimization problem into multiple SIMP of the variable density method. Three examples show that it is effective and moderate to use the proposed method to solve the problem of multi-material topology optimization. |
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| AbstractList | There are many methods for solving the topology optimization problem of single-material. It is a great challenge how to utilize existing methods or make appropriate improvements to solve multi-material topology optimization problems. In this paper, a multiple solid isotropic material with penalization model (SIMP) of variable density method is proposed to solve the problem of multi-material topology optimization. All candidate materials, including void material, are arranged in descending order of elastic modulus. The material conversion scheme of multiple SIMP is based on the elastic modulus of the candidate material after interpolation. The iterative criterion of multi-material topology optimization is derived from the KuhnTucker condition using the guide-weight method. The innovation of this paper is to transform the multi-material topology optimization problem into multiple SIMP of the variable density method. Three examples show that it is effective and moderate to use the proposed method to solve the problem of multi-material topology optimization. KCI Citation Count: 0 There are many methods for solving the topology optimization problem of single-material. It is a great challenge how to utilize existing methods or make appropriate improvements to solve multi-material topology optimization problems. In this paper, a multiple solid isotropic material with penalization model (SIMP) of variable density method is proposed to solve the problem of multi-material topology optimization. All candidate materials, including void material, are arranged in descending order of elastic modulus. The material conversion scheme of multiple SIMP is based on the elastic modulus of the candidate material after interpolation. The iterative criterion of multi-material topology optimization is derived from the Kuhn-Tucker condition using the guide-weight method. The innovation of this paper is to transform the multi-material topology optimization problem into multiple SIMP of the variable density method. Three examples show that it is effective and moderate to use the proposed method to solve the problem of multi-material topology optimization. |
| Author | Jiao, Hongyu Lv, Liang Wan, Changdong Lu, Chunyan |
| Author_xml | – sequence: 1 givenname: Changdong surname: Wan fullname: Wan, Changdong organization: School of Mechano-Electronic Engineering, Suzhou Vocational University – sequence: 2 givenname: Hongyu surname: Jiao fullname: Jiao, Hongyu organization: School of Automotive Engineering, Changshu Institute of Technology – sequence: 3 givenname: Liang surname: Lv fullname: Lv, Liang email: lvl_5687289@163.com organization: School of Mechano-Electronic Engineering, Suzhou Vocational University – sequence: 4 givenname: Chunyan surname: Lu fullname: Lu, Chunyan organization: School of Mechano-Electronic Engineering, Suzhou Vocational University |
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| SubjectTerms | Control Density Dynamical Systems Engineering Industrial and Production Engineering Interpolation Isotropic material Iterative methods Kuhn-Tucker method Materials selection Mechanical Engineering Modulus of elasticity Optimization Original Article Topology optimization Vibration 기계공학 |
| Title | Multi-material topology optimization based on multiple simp of variable density method |
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| ispartofPNX | Journal of Mechanical Science and Technology, 2024, 38(2), , pp.749-759 |
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