Topology optimization of heat sink based on variable density method

Support is not load bearing components, but also carrier of other component. To reduce the valid load, mass of the support should be low down under the condition of enough stiffness and strength. Topology optimization is employed here to solve the problem. The finite model must be built up according to the basic structure of analysis object in topology optimization. The supports are typical box-style part with thin-wall. Thus, solid model is adopted in ANSYS, and the element shell93 is employed here. Definition of optimization function based on linear-static analysis was employed here. Take maximum flexibility as the constrain conditions of the structure. And the optimality criterion (OC) method was adapted to the problem due to it is suitable for the problem which target is volume. Define the base plate, face and back of the support as the topology area separately. Main part of support is optimization with the variable density method. The results before and after the optimization are compared. When the topology form is unknown, the best topology relation of the structure in the initiate design stage of the whole product has very important meanings.

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Multi-material Topology Optimization Based on Multiple SIMP of Variable Density Method

10.21203/rs.3.rs-353955/v1 ◽

2021 ◽

Author(s):

Hongyu Jiao ◽

Ying Li

Keyword(s):

Topology Optimization ◽

Elastic Modulus ◽

Isotropic Material ◽

Variable Density ◽

Density Method ◽

Weight Method ◽

Conversion Scheme

Abstract In this paper a multiple SIMP (solid isotropic material with penalization model) of variable density method is proposed to solve the problem of muli-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. Based on the guide-weight method, the iterative criterion of muti-material topology optimization is derived from the Kuhn-Tucker condition. Three examples show that the proposed method is effective and robust to solve the problem of muti-material topology optimization.

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Vertical Tail Topology Optimization Design Based on the Variable Density Method with Constraint Factor

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.300-301.280 ◽

2013 ◽

Vol 300-301 ◽

pp. 280-284 ◽

Cited By ~ 1

Author(s):

Fu Sheng Qiu ◽

Wu Qiang Ji ◽

Hou Chao Xu

Keyword(s):

Topology Optimization ◽

Optimization Design ◽

Optimization Method ◽

Optimality Criteria ◽

Variable Density ◽

Structural Constraints ◽

Structural Topology ◽

Interpolation Model ◽

Constraint Factor ◽

Density Method

The topology optimization design problem with multiple constraints for the complex vertical tail structure is studied in this paper. The variable density structural topology optimization method is improved by introducing a constraint factor. According to the different structural constraints and design requirements, variable factors and element pseudo density are initialized via finite element method. This method is controlled by the constraint factors, and the improved method combining with Rational Approximation of Material Properties (RAMP) density-stiffness interpolation model with optimality criteria methods (OC), the vertical tail’s stiffness optimization has been finished. The density-stiffness interpolation model, the mathematical model of variable density method with constraint factor, the structural optimization model, the solution model of the OC method, the design variables iterative format, are given in this paper and the algorithm with Matlab program is realized. Lastly, a sample vertical tail case is introduced to validate the feasibility of the algorithm by operating the results and analyzing the data.

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Topology optimization of truncated cone insulator with graded permittivity using variable density method

IEEE Transactions on Dielectrics and Electrical Insulation ◽

10.1109/tdei.2018.007315 ◽

2019 ◽

Vol 26 (1) ◽

pp. 1-9 ◽

Cited By ~ 12

Author(s):

Wen-Dong Li ◽

Xiao-Ran Li ◽

Bao-Hong Guo ◽

Chao Wang ◽

Zhe Liu ◽

...

Keyword(s):

Topology Optimization ◽

Variable Density ◽

Density Method ◽

Truncated Cone

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Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method

Journal of Engineering Science and Technology Review ◽

10.25103/jestr.092.20 ◽

2016 ◽

Vol 9 (2) ◽

pp. 121-128 ◽

Cited By ~ 1

Author(s):

Bai Shiye ◽

◽

Zhu Jiejiang ◽

Keyword(s):

Topology Optimization ◽

Optimization Design ◽

Variable Density ◽

Density Method ◽

Continuum Structure

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Topological Optimization of Aircraft Frame Structures with the Variable Density Method

MATEC Web of Conferences ◽

10.1051/matecconf/201819805008 ◽

2018 ◽

Vol 198 ◽

pp. 05008

Author(s):

ying-lei Li ◽

zong-jie Cao ◽

Zi-li Wang

Keyword(s):

Topology Optimization ◽

Lagrange Function ◽

Optimization Method ◽

Variable Density ◽

Frame Structure ◽

Topological Optimization ◽

Frame Structures ◽

Distribution Law ◽

Structural Distribution ◽

Density Method

In this paper, a variable density topological optimization method is derived on the basis of Lagrange function, and the RAMP interpolation model is selected to optimize the frame structure of aircrafts with variable density method. For an example, the ordinary frame structure of the domestic planes is taken to illustrate validity of the presented method. The numerical model of the aircraft frames is obtained. The optimal design analysis of the model structural distribution and the weight loss requirement of the aircraft frame structures are realized. In conclusion, the structural distribution law of the topology optimization is summarized according to the topology optimization structures.

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