Research on Relationship between Weight Filter Function and Stiffness Filter Function

Combined with the homogenization method and the least squares method, the filter function with the form of power function is studied in the Independent Continuum Map (ICM) method. Then, the numerical simulation method is used to study the relationship between a weight filter function and a stiffness filter function. Finally, the impact of the filtration function on the efficiency of topology optimization is showed by examples. It is important to further research structural topology optimization.

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The Impact of Filter Function on Structural Topology Optimization

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.496-500.1766 ◽

2014 ◽

Vol 496-500 ◽

pp. 1766-1769

Author(s):

Zhen Shang ◽

Yun Kang Sui

Keyword(s):

Topology Optimization ◽

Topological Optimization ◽

Structural Topology Optimization ◽

Structural Topology ◽

Filter Function ◽

Integrated Method ◽

Speed Up ◽

Optimization Efficiency ◽

The Impact ◽

The Continuum

Based on ICM method, topological optimization model is established to minimize the weight with different constraints. The model is solved by constraint integrated method. The impact of different filter functions on continuum structural topology optimization efficiency is studied by numerical examples. The results show that: The application of nonlinear filter function can speed up the convergence, reduce the number of iterations, get a good stability in the continuum structural topology optimization.

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Level set-based structural topology optimization of thermal deformation control structures using thermoelectric devicesThermoelectric Devices

13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference ◽

10.2514/6.2010-9132 ◽

2010 ◽

Cited By ~ 1

Author(s):

Kazuhiro Izui ◽

Yuji Okamoto ◽

Takayuki Yamada ◽

Shinji Nishiwaki

Keyword(s):

Topology Optimization ◽

Level Set ◽

Thermal Deformation ◽

Structural Topology Optimization ◽

Structural Topology ◽

Control Structures ◽

Deformation Control

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Explicit structural topology optimization using BEM ‐based MMV approach

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6786 ◽

2021 ◽

Author(s):

Weisheng Zhang ◽

Qingqing Jiang ◽

Weizhe Feng ◽

Sung‐Kie Youn ◽

Xu Guo

Keyword(s):

Topology Optimization ◽

Structural Topology Optimization ◽

Structural Topology

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Structural topology optimization using a level set method with finite difference updating scheme

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-020-02779-x ◽

2021 ◽

Author(s):

Yi Lin ◽

Weidong Zhu ◽

Jiangxiong Li ◽

Yinglin Ke

Keyword(s):

Topology Optimization ◽

Finite Difference ◽

Level Set Method ◽

Level Set ◽

Structural Topology Optimization ◽

Structural Topology

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An efficient approach to reliability-based topology optimization for the structural lightweight design of planar continuum structures

Journal of Mechanics ◽

10.1093/jom/ufaa019 ◽

2021 ◽

Vol 37 ◽

pp. 270-281

Author(s):

Fangfang Yin ◽

Kaifang Dang ◽

Weimin Yang ◽

Yumei Ding ◽

Pengcheng Xie

Keyword(s):

Topology Optimization ◽

Lightweight Design ◽

Integrated Design ◽

Optimization Methods ◽

Filter Function ◽

Continuum Structures ◽

Performance Indexes ◽

Reliability Method ◽

Economic Indexes ◽

The Impact

Abstract In order to solve the application restrictions of deterministic-based topology optimization methods arising from the omission of uncertainty factors in practice, and to realize the calculation cost control of reliability-based topology optimization. In consideration of the current reliability-based topology optimization methods of continuum structures mainly based on performance indexes model with a power filter function. An efficient probabilistic reliability-based topology optimization model that regards mass and displacement as an objective function and constraint is established based on the first-order reliability method and a modified economic indexes model with a composite exponential filter function in this study. The topology optimization results obtained by different models are discussed in relation to optimal structure and convergence efficiency. Through numerical examples, it can be seen that the optimal layouts obtained by reliability-based models have an increased amount of material and more support structures, which reveals the necessity of considering uncertainty in lightweight design. In addition, the reliability-based modified model not only can obtain lighter optimal structures compared with traditional economic indexes models in most circumstances, but also has a significant advantage in convergence efficiency, with an average increase of 44.59% and 64.76% compared with the other two reliability-based models. Furthermore, the impact of the reliability index on the results is explored, which verifies the validity of the established model. This study provides a theoretical reference for lightweight or innovative feature-integrated design in engineering applications.

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