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Parameterized level set method for structural topology optimization based on the Cosserat elasticity

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Acta Mechanica Sinica 2021年第4期37卷 620-630,I0002页

作者： Lianxiong Chen Ji Wan Xihua Chu Hui Liu Department of Engineering Mechanics School of Civil EngineeringWuhan UniversityWuhan 430072China

When describing the mechanical behavior of some engineering materials,such as composites,grains,biological materials and cellular solids,the Cosserat continuum theory has more powerful capabilities compared with the classical Cauchy elasticity since an additional local rotation of point and its counterpart(couple stress)are considered in the Cosserat elasticity to represent the material microscale *** this paper,a parameterized level set topology optimization method is developed based on the Cosserat elasticity for the minimum compliance problem of the Cosserat *** influence of material characteristic length and Cosserat shear modulus on the optimized structure is investigated in *** can be found that the microstructural constants in the Cosserat elasticity have a significant impact on the optimized topology *** addition,the minimum feature size and the geometric complexity of the optimized structure can be controlled implicitly by adjusting the parameters of the characteristic length and Cosserat shear modulus ***,the optimized structure obtained by the developed Cosserat elasticity based parameterized level set method will degenerate to the result by using the classical Cauchy elasticity based parameterized level set method when the Cosserat shear modulus approaches zero.

关键词： structural topology optimization Cosserat continuum theory Parameterized level set method Cosserat elasticity Scale effect

A Simple and Efficient structural topology optimization Implementation Using Open-Source Software for All Steps of the Algorithm:Modeling, Sensitivity Analysis and optimization

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Computer Modeling in Engineering & Sciences 2023年第8期136卷 1371-1397页

作者： Rafael Marin Ferro Renato Pavanello Coordination of Mechanical Engineering Federal Institute of Science and Technology of ES-IFESAracruz-ES29192-733Brazil Department of Computational Mechanics Faculty of Mechanical EngineeringUnicampCampinas-SP13083-860Brazil

This work analyzes the implementation of a continuous method of structural topology optimization(STO)using open-source software for all stages of the topology optimization problem:modeling,sensitivity analysis and *** implementation involves three main components:numerical analysis using the Finite Element Method(FEM),sensitivity analysis using an Adjoint method and an optimization *** order to allow the automated numerical solution of Partial Differential Equations(PDEs)and perform a sensitivity analysis,FEniCS and Dolfin Adjoint software are used as tools,which are open-source *** the optimization process,Ipopt(Interior Point OPTimizer)is used,which is a software package for nonlinear optimization scale designed to find(local)solutions of mathematical optimization *** topological optimization method used is based on the SIMP-Solid IsotropicMaterial with Penalization *** considered problem is the minimization of compliance/maximization of stiffness,considering the examples of recurrent structures in the literature in 2D and 3D.A density filtering algorithm based on Helmholtz formulation is *** complete code involves 51 lines of programming and is presented and commented in detail in this article.

关键词： structural topology optimization finite element method FEniCS Dolfin Adjoint

New method for controlling minimum length scales of real and void phase materials in topology optimization

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Acta Mechanica Sinica 2020年第4期36卷 805-826页

作者： Xuanpei Rong Jianhua Rong Shengning Zhao Fangyi Li Jijun Yi Luo Peng School of Automotive and Mechanical Engineering Changsha University of Science and TechnologyChangsha 410076Peopled Republic of China State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan UniversityChangsha 410082People’s Republic of China Key Laboratory of Lightweight and Reliability Technology for Engineering Vehicle of Hunan Province dhangsha University of Science and TechnologyChangsha 410114Peopled Republic of China

Minimum length scale control on real and void material phases in topology optimization is an important topic of research with direct implications on numerical stability and solution *** it also is a challenge area of research due to serious conflicts of both the solid and the void phase element densities in phase mixing domains of the topologies obtained by existing ***,there is few work dealing with controlling distinct minimum feature length scales of real and void phase materials used in topology designs.A new method for solving the minimum length scale controlling problem of real and void material phases,is ***,we introduce two sets of coordinating design variable filters for these two material phases,and two distinct smooth Heaviside projection functions to destroy the serious conflicts in the existing methods(*** Comput Methods Appl Mech Eng 199(14):123-135,2009).Then,by introducing an adaptive weighted 2-norm aggregation constraint function,we construct a coordinating topology optimization model to ensure distinct minimum length scale controls of real and void phase materials for the minimum compliance *** adopting a varied volume constraint limit scheme,this coordinating topology optimization model is transferred into a series of coordinating topology optimization sub-models so that the structural topology configuration can stably and smoothly changes during an optimization *** structural topology optimization sub-models are solved by the method of moving asymptotes(MMA).Then,the proposed method is extended to the compliant mechanism design *** examples are given to demonstrate that the proposed method is effective and can obtain a good 0/1 distribution final topology.

关键词： structural topology optimization Minimum length scale Manufacturability Coordinating density filter Heaviside projections Void phase

THE TOPOLOGICAL optimization FOR TRUSS STRUCTURES WITH STRESS CONSTRAINTS BASED ON THE EXIST-NULL COMBINED MODEL

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Acta Mechanica Sinica 1998年第4期14卷 363-370页

作者：隋允康于新 School of Mechanical Engineering and Applied Electronic Technique Beijing Polytechnic UniversityBeijing 100022China Research Institute of Engineering Mechanics Dalian University of TechnologyDalian 116023China

A new exist-null combined model is proposed for the structural topology optimization. The model is applied to the topology optimization of the truss with stress constraints. Satisfactory computational result can be obtained with more rapid and more stable convergence as compared with the cross-sectional optimization. This work also shows that the presence of independent and continuous topological variable motivates the research of structural topology optimization.

关键词： structural topology optimization independent and continuous topological variable smooth model exist-null combination truss stress constraint

Customized Design for Ergonomic Products via Additive Manufacturing Considering Joint Biomechanics

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Chinese Journal of Mechanical Engineering(Additive Manufacturing Frontiers) 2023年第3期2卷 84-94页

作者： Jinghua Xu Zhengxin Tu Shuyou Zhang Jianrong Tan Guanyun Wang State Key Laboratory of Fluid Power and Mechatronic Systems Zhejiang UniversityHangzhou310058China Zhejiang Key Lab of Advanced Manufacturing Technology Zhejiang UniversityHangzhou310058China Zhejiang-Singapore Innovation and AI Joint Research Lab Zhejiang UniversityHangzhou310058China Institute of Design Engineering Zhejiang UniversityHangzhou310058China

This paper presents a customized design method for ergonomic products via additive manufacturing(AM)con-sidering joint *** ergonomic customized design model can be built based on kinesiology involving human joint *** of the human bone can be reconstructed from X-rays,computed tomog-raphy(CT),magnetic resonance imaging(MRI),and direct 3D *** conceptual and detailed design of customized products were implemented on ergonomic shoes and insoles.A lightweight lattice structure with vari-able porosity was generated via structural topology optimization for an ergonomic customized ***,the upper surface of the custom-made insole may adhere perfectly to the plantar surface of the patient,resulting in a lower peak plantar *** element analysis(FEA)can be employed to simulate the static or dynamic biomechanical *** conceptual ergonomic products were forwarded to the machine and fabricated via AM,driven by visual digital twin *** experiments proved that a customized design suitability method for wearable ergonomic products via 3D printing is specifically tailored to the rehabilitation needs of individual customers,while consuming the least cost,time,and materials.

关键词： Customized design Wearable ergonomic products Additive manufacturing(AM) Human joint biomechanics structural topology optimization

Exist-Null Combination Model of structural Topological optimization with Stress Constraints

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Exist-Null Combination Model of Structural Topological Optim...

LIGHTWEIGHT DESIGN OF AUTO-BODY STRUCTURE BY topology OPTIMISATION BASED ON LEVEL SET METHOD

The First China-Japan-Korea Joint Symposium on optimization of structural and Mechanical Systems

作者： YU Xin SUI Yun Kang and YE Bao Rui (Anshan Institute of Iron and Steel Technology Anshan 114002 China) (Beijing Polytechnic University Beijing 100022 China)

＜正＞An exist-null combined model is proposed for the topological optimization of skeleton structure and continuum structure. The model is applied to the topological optimization with stress constraints. It can get satisfactory computational results with rapid and stable convergence. This work also shows that the presence of independent and continuous topological variable is valuable to the research of structural topology optimization.

关键词： structural topology optimization skeleton structure continuum structure independent and continuous topological variable exist-null combination.

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LIGHTWEIGHT DESIGN OF AUTO-BODY STRUCTURE BY TOPOLOGY OPTIMI...