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Solving topology optimization problems by the Guide-Weight method

Xinjun LIU, Zhidong LI, Liping WANG, Jinsong WANG

Frontiers of Mechanical Engineering 2011, Volume 6, Issue 1,   Pages 136-150 doi: 10.1007/s11465-010-0126-6

Abstract: Guide-Weight method, proposed first by Chen in 1980s, was effectively and successfully used in antennaWhen the Guide-Weight method is applied into topology optimization, it works very well with unified andThe algorithm of the Guide-Weight method and the improvement on it are described; two formulations oftopology optimization solved by the Guide-Weight method combining with SIMP method are presented; subsequently, three numerical examples are provided, and comparison of the Guide-Weight method with other methods

Keywords： Guide-Weight method     topology optimization     SIMP method    

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Modular design of typical rigid links in parallel kinematic machines: Classification and topology optimization

Xinjun LIU, Xiang CHEN, Zhidong LI

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 2,   Pages 199-209 doi: 10.1007/s11465-012-0315-6

Abstract: structures with best mechanical performances is analyzed and processed in two steps: classification and optimizationNext, the technology method and the iterative formula derivation process of topology optimization aremodels for each group of classified ones are set up and their optimal structures are achieved through topologyoptimization technique.

Keywords： parallel kinematic machines (PKMs)     modular design     classification     topology optimization and improved Guide-Weight    

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Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load Artical

Anders Clausen, Niels Aage, Ole Sigmund

Engineering 2016, Volume 2, Issue 2,   Pages 250-257 doi: 10.1016/J.ENG.2016.02.006

Abstract: In this work, we show how the so-called coating approach to topology optimization provides a means fordesigning infill-based components that possess a strongly improved buckling load and, as a result, improvedThe suggested approach thereby addresses an important inadequacy of the standard minimum compliance topologyoptimization approach, in which buckling is rarely accounted for; rather, a satisfactory buckling loadThe present work compares the standard and coating approaches to topology optimization for the MBB beam

Keywords： Additive manufacturing     Infill     Topology optimization     Buckling    

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Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 2, doi: 10.1007/s11465-022-0683-5

Abstract: The main purpose of the current paper is to propose a robust isogeometric topology optimization (RITOThe erode–dilate operator is introduced in topology representation to construct the eroded, intermediate

Keywords： piezoelectric actuator     isogeometric topology optimization     uniform manufacturability     robust formulation    

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Massively efficient filter for topology optimization based on the splitting of tensor product structure

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 4, doi: 10.1007/s11465-022-0710-6

Abstract: In this work, we put forward a massively efficient filter for topology optimization (TO) utilizing theWith the aid of splitting technique, the traditional weight matrices of B-splines and non-uniform rationalwhich the sensitivity analysis is reformulated for the nodal design variables without altering the optimizationIn addition, the memory burden and computing time of the weight matrix are decreased by six- and three-order-of-magnitudeTherefore, the proposed filter is massively improved by the splitting of tensor product structure and

Keywords： topology optimization     isogeometric analysis     finite element analysis     tensor product structure     sensitivity    

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Multiresolution and multimaterial topology optimization of fail-safe structures under B-spline spaces

Frontiers of Mechanical Engineering 2023, Volume 18, Issue 4, doi: 10.1007/s11465-023-0768-9

Abstract: This study proposes a B-spline-based multiresolution and multimaterial topology optimization (TO) design

Keywords： multiresolution     multimaterial     topology optimization     fail-safe structure     B-spline    

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Controlling interstory drift ratio profiles via topology optimization strategies

Frontiers of Structural and Civil Engineering 2023, Volume 17, Issue 2,   Pages 165-178 doi: 10.1007/s11709-022-0892-3

Abstract: approach to control the profiles of interstory drift ratios along the height of building structures via topologyoptimization is proposed herein.The theoretical foundation of the proposed approach involves solving a min–max optimization problem toinverted triangular or quadratic patterns because it realizes profile control using a group of shape weightThe optimization results show the optimal structural features for controlling the interstory drift ratios

Keywords： interstory drift ratio     aggregation function     bound formulation     min–max problem     topology optimization    

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Robust topology optimization of multi-material lattice structures under material and load uncertainties

Yu-Chin CHAN, Kohei SHINTANI, Wei CHEN

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 141-152 doi: 10.1007/s11465-019-0531-4

Abstract: This work proposes a density-based robust topology optimization method for meso- or macro-scale multi-material

Keywords： robust topology optimization     lattice structures     multi-material     material uncertainty     load uncertainty    

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A MATLAB code for the material-field series-expansion topology optimization method

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 3,   Pages 607-622 doi: 10.1007/s11465-021-0637-3

Abstract: This paper presents a MATLAB implementation of the material-field series-expansion (MFSE) topo-logy optimizationmethod uses a bounded material field with specified spatial correlation to represent the structural topologyThe implementation of the code and its extensions to topology optimization problems with multiple loadMFSE topology optimization method with non-gradient optimization algorithms without sensitivity informationbecause only a few design variables are required to describe relatively complex structural topology

Keywords： MATLAB implementation     topology optimization     material-field series-expansion method     bounded material    

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Manufacturing cost constrained topology optimization for additive manufacturing

Jikai LIU, Qian CHEN, Xuan LIANG, Albert C. TO

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 213-221 doi: 10.1007/s11465-019-0536-z

Abstract: This paper presents a manufacturing cost constrained topology optimization algorithm considering theTopology optimization for additive manufacturing was recently extensively studied, and many related topicsopportunity to balance the manufacturing cost while pursuing the superior structural performance through topologyoptimization.optimization problem as a constraint.

Keywords： topology optimization     manufacturing cost     additive manufacturing     powder bed    

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Efficient, high-resolution topology optimization method based on convolutional neural networks

Liang XUE, Jie LIU, Guilin WEN, Hongxin WANG

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 1,   Pages 80-96 doi: 10.1007/s11465-020-0614-2

Abstract: Topology optimization is a pioneer design method that can provide various candidates with high mechanicalIn this study, an efficient, high-resolution topology optimization method is developed based on the super-resolutionbuilt as another speed-up strategy to reduce the high computational cost and memory requirements for 3D topologyoptimization problems.Typical examples show that the high-resolution topology optimization method using SRCNN demonstrates

Keywords： topology optimization     convolutional neural network     high resolution     density-based    

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Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

Manman XU, Shuting WANG, Xianda XIE

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 222-234 doi: 10.1007/s11465-019-0534-1

Abstract: we develop an isogeometric analysis (IGA)-based level set model for the formulation and solution of topologyoptimization in cases with maximum eigenfrequency.The method is applied to topology optimization problems of maximizing the fundamental eigenfrequencysingle target eigenmode is employed to prevent the exchange of eigenmode order number in eigenfrequency optimization

Keywords： topology optimization     level set method     isogeometric analysis     eigenfrequency    

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Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 3,   Pages 390-405 doi: 10.1007/s11465-020-0588-0

Abstract: transplanted from the computer graphics field, has been successfully introduced into the structural topologyoptimization field for about two decades, but it still has not been widely applied to practical engineeringas a boundary evolution algorithm, which is not as flexible as density-based methods at controlling topologyIn this study, a level set band method is proposed to overcome this drawback in handling topology changesThe proposed method demonstrates a flexible topology change by applying a certain size of the level set

Keywords： level set method     topology optimization     density-based method     level set band    

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Robust topology optimization of hinge-free compliant mechanisms with material uncertainties based on

Junjie ZHAN, Yangjun LUO

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 201-212 doi: 10.1007/s11465-019-0529-y

Abstract: This paper presents a new robust topology optimization framework for hinge-free compliant mechanismsRobust topology optimization of compliant mechanisms is then defined to minimize the variation in outputThe nest optimization problem is solved using a gradient-based optimization algorithm.examples are presented to illustrate the effectiveness of the proposed method for circumventing hinges in topologyoptimization of compliant mechanisms.

Keywords： compliant mechanisms     robust topology optimization     hinges     uncertainty     bounded field    

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Topology optimization of transient problem with maximum dynamic response constraint using SOAR scheme

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 3,   Pages 593-606 doi: 10.1007/s11465-021-0636-4

Abstract: This paper proposes a novel method for the continuum topology optimization of transient vibration problemthe optimized results clearly demonstrate that the transient effects cannot be ignored in structural topologyoptimization.

Keywords： topology optimization     solid isotropic material with penalization     transient response     aggregation function    

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Title Author Date Type Operation

Solving topology optimization problems by the Guide-Weight method

Xinjun LIU, Zhidong LI, Liping WANG, Jinsong WANG

Journal Article

Modular design of typical rigid links in parallel kinematic machines: Classification and topology optimization

Xinjun LIU, Xiang CHEN, Zhidong LI

Journal Article

Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load

Anders Clausen, Niels Aage, Ole Sigmund

Journal Article

Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability

Journal Article

Massively efficient filter for topology optimization based on the splitting of tensor product structure

Journal Article

Multiresolution and multimaterial topology optimization of fail-safe structures under B-spline spaces

Journal Article

Controlling interstory drift ratio profiles via topology optimization strategies

Journal Article

Robust topology optimization of multi-material lattice structures under material and load uncertainties

Yu-Chin CHAN, Kohei SHINTANI, Wei CHEN

Journal Article

A MATLAB code for the material-field series-expansion topology optimization method

Journal Article

Manufacturing cost constrained topology optimization for additive manufacturing

Jikai LIU, Qian CHEN, Xuan LIANG, Albert C. TO

Journal Article

Efficient, high-resolution topology optimization method based on convolutional neural networks

Liang XUE, Jie LIU, Guilin WEN, Hongxin WANG

Journal Article

Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

Manman XU, Shuting WANG, Xianda XIE

Journal Article

Level set band method: A combination of density-based and level set methods for the topology optimization

Peng WEI, Wenwen WANG, Yang YANG, Michael Yu WANG

Journal Article

Robust topology optimization of hinge-free compliant mechanisms with material uncertainties based on

Junjie ZHAN, Yangjun LUO

Journal Article

Topology optimization of transient problem with maximum dynamic response constraint using SOAR scheme

Journal Article