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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:

Finding a good solution method for topology optimization problems is always paid attention to by theGuide-Weight method, proposed first by Chen in 1980s, was effectively and successfully used in antennastructures’ optimization.When the Guide-Weight method is applied into topology optimization, it works very well with unified andtopology optimization solved by the Guide-Weight method combining with SIMP method are presented; subsequently

Keywords： Guide-Weight method     topology optimization     SIMP method    

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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: The level set method (LSM), which is transplanted from the computer graphics field, has been successfullyintroduced into the structural topology optimization field for about two decades, but it still has notas 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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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: method.topology.The 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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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-resolutionA combined treatment method that uses 2D SRCNN is built as another speed-up strategy to reduce the highcomputational cost and memory requirements for 3D topology optimization 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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Independent continuous and mapping method of structural topology optimization based on the global stress

Yunkang SUI, Jili FENG, Hongling YE, Xirong PENG,

Frontiers of Mechanical Engineering 2010, Volume 5, Issue 2,   Pages 130-142 doi: 10.1007/s11465-010-0011-3

Abstract: There are three difficulties in topology optimization of continuum structures. 1) The topology underTo overcome difficulties above, four measures are adopted. 1) Topology optimization model is establishedby independent continuous mapping (ICM) method. 2) Based on the von Mises strength theory, all elementsdivided to classify into three cases. 4) A strategy based on strain energy is proposed to adopt ICM methodfor local stresses constraints, and the problem of load illness can be solved well by the weighting method

Keywords： independent continuous mapping (ICM) method     global stresses constraints     topology optimization     continuum    

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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 proposed method is based on a combination of level set method and IGA technique, which uses the non-uniformThe method is applied to topology optimization problems of maximizing the fundamental eigenfrequencyeigenmode order number in eigenfrequency optimization.

Keywords： topology optimization     level set method     isogeometric analysis     eigenfrequency    

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Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed

Yingjun WANG,David J. BENSON

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 4,   Pages 328-343 doi: 10.1007/s11465-016-0403-0

Abstract: based on the fast point-in-polygon (PIP) algorithm and trimmed elements is proposed for isogeometric topologyoptimization (TO) with arbitrary geometric constraints.The isogeometric parameterized level-set-based TO method, which directly uses the non-uniform rationalNumerical examples demonstrate the efficiency and flexibility of the method.

Keywords： isogeometric analysis     topology optimization     level set method     arbitrary geometric constraint     trimmed element    

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Isogeometric topology optimization based on energy penalization for symmetric structure

Xianda XIE, Shuting WANG, Ming YE, Zhaohui XIA, Wei ZHAO, Ning JIANG, Manman XU

Frontiers of Mechanical Engineering 2020, Volume 15, Issue 1,   Pages 100-122 doi: 10.1007/s11465-019-0568-4

Abstract: We present an energy penalization method for isogeometric topology optimization using moving morphableThe energy penalization method can solve the problems of numerical instability and convergence for theTopology optimization problems of asymmetric, bilateral symmetric, and periodic symmetric structuresconvergence rate from 18.6% to 44.5% for the optimization of the asymmetric structure.value by 5.6% and obtain a final optimized topology that has a clear boundary with decreased iterations

Keywords： topology optimization     moving morphable component     isogeometric analysis     energy penalization method     symmetric    

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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 (RITO) method for the design of piezoelectric actuators, which can effectively remove the critical issue inducedIn RITO, the isogeometric analysis replacing the conventional finite element method is applied to computeThe erode–dilate operator is introduced in topology representation to construct the eroded, intermediateseveral numerical examples are performed to test the effectiveness and efficiency of the proposed RITO method

Keywords： piezoelectric actuator     isogeometric topology optimization     uniform manufacturability     robust formulation    

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Topology optimization of piezoelectric bi-material actuators with velocity feedback control

Mariana MORETTI, Emílio C. N. SILVA

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 190-200 doi: 10.1007/s11465-019-0537-y

Abstract: considered for the design of a controlled piezoelectric actuator with vibration suppression by means of the topologyoptimization method (TOM).The dynamic equation analyzed throughout the optimization procedure is fully elaborated and implementedA gradient-based optimization method is applied to minimize the displacement energy output measured atResults are obtained for different control gain values to evaluate their influence on the final topology

Keywords： topology optimization method     bi-material piezoactuator     active velocity feedback control     time-domain transient    

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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 thewhich the sensitivity analysis is reformulated for the nodal design variables without altering the optimization

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

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Concurrent optimization of structural topology and infill properties with a CBF-based level set method

Long JIANG, Yang GUO, Shikui CHEN, Peng WEI, Na LEI, Xianfeng David GU

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 171-189 doi: 10.1007/s11465-019-0530-5

Abstract: In this paper, a parametric level-set-based topology optimization framework is proposed to concurrentlyoptimize the structural topology at the macroscale and the effective infill properties at the micro/The concurrent optimization is achieved by a computational framework combining a new parametric levelThe isotropic infill achieved via the mesoscale topology optimization is conformally fit into the wrappingstructure with optimized overall topology and effective infill properties.

Keywords： concurrent topology optimization     parametric level set method     cardinal basis function     shell-infill structure    

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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-Weightmethod    

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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) designmethod for fail-safe structures (FSSs), aiming to achieve efficient and lightweight structural designnumerical examples demonstrate the significantly enhanced computational efficiency of the proposed method

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

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A regularization scheme for explicit level-set XFEM topology optimization

Markus J. GEISS, Jorge L. BARRERA, Narasimha BODDETI, Kurt MAUTE

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 2,   Pages 153-170 doi: 10.1007/s11465-019-0533-2

Abstract: Regularization of the level-set (LS) field is a critical part of LS-based topology optimization (TO)The SDF is obtained using the heat method (HM) and is reconstructed for every design in the optimizationdescribing the physical response of the system of interest, are discretized by the extended finite element methoddimensions are presented to show the applicability of the proposed scheme to a broad range of design optimization

Keywords： level-set regularization     explicit level-sets     XFEM     CutFEM     topology optimization     heat method     signed distance    

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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

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

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

Journal Article

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

Liang XUE, Jie LIU, Guilin WEN, Hongxin WANG

Journal Article

Independent continuous and mapping method of structural topology optimization based on the global stress

Yunkang SUI, Jili FENG, Hongling YE, Xirong PENG,

Journal Article

Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency

Manman XU, Shuting WANG, Xianda XIE

Journal Article

Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed

Yingjun WANG,David J. BENSON

Journal Article

Isogeometric topology optimization based on energy penalization for symmetric structure

Xianda XIE, Shuting WANG, Ming YE, Zhaohui XIA, Wei ZHAO, Ning JIANG, Manman XU

Journal Article

Robust isogeometric topology optimization for piezoelectric actuators with uniform manufacturability

Journal Article

Topology optimization of piezoelectric bi-material actuators with velocity feedback control

Mariana MORETTI, Emílio C. N. SILVA

Journal Article

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

Journal Article

Concurrent optimization of structural topology and infill properties with a CBF-based level set method

Long JIANG, Yang GUO, Shikui CHEN, Peng WEI, Na LEI, Xianfeng David GU

Journal Article

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

Xinjun LIU, Xiang CHEN, Zhidong LI

Journal Article

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

Journal Article

A regularization scheme for explicit level-set XFEM topology optimization

Markus J. GEISS, Jorge L. BARRERA, Narasimha BODDETI, Kurt MAUTE

Journal Article