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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 successfullyIn this study, a level set band method is proposed to overcome this drawback in handling topology changesin the level set framework.set band, to seamlessly combine LSM and density-based method to utilize their advantages.The 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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Buckling optimization of curvilinear fiber-reinforced composite structures using a parametric level setmethod

Frontiers of Mechanical Engineering 2024, Volume 19, Issue 1, doi: 10.1007/s11465-023-0780-0

Abstract: This study proposes a level-set-based optimization framework for maximizing the buckling load of curvilinearIn the proposed method, the contours of the level set function are used to represent fiber paths.For a composite laminate with a certain number of layers, one level set function is defined by radialWith the sensitivity calculation of the objective and constraint functions, the method of moving asymptotes

Keywords： buckling optimization     curvilinear fiber     composite structure     level set method     manufacturing constraint    

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XFEM schemes for level set based structural optimization

Li LI, Michael Yu WANG, Peng WEI

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4,   Pages 335-356 doi: 10.1007/s11465-012-0351-2

Abstract:

In this paper, some elegant extended finite element method (XFEM) schemes for level set method structuralFirstly, two- dimension (2D) and three-dimension (3D) XFEM schemes with partition integral method arethe proposed XFEM is a promising structural analysis approach for structural optimization with the levelset method.

Keywords： structural optimization     level set method     extended finite element method (XFEM)     computational accuracy    

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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: In this study, we develop an isogeometric analysis (IGA)-based level set model for the formulation andThe proposed method is based on a combination of level set method and IGA technique, which uses the non-uniformused for geometry representation, but also for IGA-based dynamic analysis and parameterization of the levelset surface, that is, the level set function.The validity and efficiency of the proposed method are illustrated by benchmark examples.

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: The isogeometric parameterized level-set-based TO method, which directly uses the non-uniform rationalbasis splines (NURBS) for both level set function (LSF) parameterization and objective function calculationNumerical 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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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 method

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

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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 concurrentlyset approach.This overcomes the intrinsic disadvantage of the conventional RBF-based parametric level set method,A variational distance regularization method is utilized in this research to regularize the level setWith the distance information embedded in the level set model, the wrapping boundary layer and the interior

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

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An M-VCUT level set-based data-driven model of microstructures and optimization of two-scale structures

Frontiers of Mechanical Engineering 2024, Volume 19, Issue 4, doi: 10.1007/s11465-024-0798-y

Abstract: Here, a multiple variable cutting (M-VCUT) level set-based data-driven model of microstructures is presented, and a method based on this model is proposed for the optimal design of two-scale structures.The geometry of the microstructure is described using the M-VCUT level set method, and the effectivemechanical properties of microstructures are computed by the homogenization method.

Keywords： two-scale structure     structural optimization     M-VCUT level set     homogenization     radial basis function    

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Conceptual design of compliant mechanisms using level set method

Shi-kui CHEN, Michael Yu WANG

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 2,   Pages 131-145 doi: 10.1007/s11465-006-0018-y

Abstract: We propose a level set method-based framework for the conceptual design of compliant mechanisms.In this method, the compliant mechanism design problem is recast as an infinite dimensional optimizationThe geometric shape of the compliant mechanism is represented as the zero level set of a one-higher dimensionallevel set function, and the dynamic variations of the shape are governed by the Hamilton-Jacobi partialThe application of level set methods endows the optimization process with the particular quality that

Keywords： splitting     minimum     dimensional optimization     Hamilton-Jacobi     topological    

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Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 1,   Pages 66-80 doi: 10.1007/s11709-018-0461-y

Abstract: excavation in layers of cemented coarse grained soil located in Tehran, Iran by non-deterministic Random Set(RS) method.In order to enhance the acceptability of the method among engineers, a pertinent code was written in

Keywords： uncertainty     reliability analysis     deep excavations     random set method     finite difference method    

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Isogeometric analysis based on geometric reconstruction models

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 4,   Pages 782-797 doi: 10.1007/s11465-021-0648-0

Abstract: In this paper, an IGA method for complex models is presented by reconstructing analysis-suitable modelspolygons or point cloud and is embedded into a regular background grid, and a model reconstruction methodis proposed to obtain the level set function of the approximate model, which can be directly used inThree 3D examples are used to test the proposed method, and the results demonstrate that the proposedmethod can deal with complex engineering parts reconstructed by boundary polygons or point clouds.

Keywords： isogeometric analysis     reconstruction model     level set function     trimmed element     point cloud    

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A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations

Dongdong WANG, Jiarui WANG, Junchao WU, Junjun DENG, Ming SUN

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 337-352 doi: 10.1007/s11709-018-0467-5

Abstract: A three-dimensional two-level gradient smoothing meshfree method is presented for rainfall induced landslideThe two-level gradient smoothing for meshfree shape function is elaborated in the three-dimensional Lagrangiansmoothing operation without the requirement of derivative computation in the present formulation, the two-levelSubsequently, the two-level smoothed gradient of meshfree shape function is employed to discretize theThe effectiveness of the present three-dimensional two-level gradient smoothing meshfree method is demonstrated

Keywords： meshfree method     landslide     rainfall     three-dimensional two-level gradient smoothing     nodal integration    

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Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Rajarshi PRAMANIK, Dilip Kumar BAIDYA, Nirjhar DHANG

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 2,   Pages 478-489 doi: 10.1007/s11709-021-0698-8

Abstract: reliability theory on surface square/rectangular footing against bearing capacity failure using fuzzy settheory in conjunction with the finite element method.

Keywords： finite element method     square footing     reliability analysis     fuzzy set theory     coefficient of variation     spatial    

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M-LFM: a multi-level fusion modeling method for shape−performance integrated digital twin of complex

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 4, doi: 10.1007/s11465-022-0708-0

Abstract: systems by developing a new digital twin framework that includes simulation data, measuring data, multi-levelTo leverage its capacity, the M-LFM method combines the advantages of different surrogate models andThe results show that the M-LFM method has better performance in the computational efficiency and calculationaccuracy of the stress prediction compared with the polynomial response surface method and the krigingmethod.

Keywords： shape−performance integrated digital twin (SPI-DT)     multi-level fusion modeling (M-LFM)     surrogate model    

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The Research of All-set Method in Market Intelligent Economy Controlling

Bao Jifeng,Liu Yang,He Zhongxiong

Strategic Study of CAE 2005, Volume 7, Issue 5,   Pages 84-89

Abstract:

This paper deals with the utilization of the all-set method and ME altering in the problem of marketThe authors alter the primary ME of economical body by means of all-set, jieke theory, vague controllingThe all-set theory contains such subjects as fuzzy set, vague set, extension set, SPA, FEEC.The authors combine these subjects and propose the all-set market intelligent economy controlling theory

Keywords： market economy     big system and all-set     the research of controlling method     practical examples    

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Title Author Date Type Operation

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

Buckling optimization of curvilinear fiber-reinforced composite structures using a parametric level setmethod

Journal Article

XFEM schemes for level set based structural optimization

Li LI, Michael Yu WANG, Peng WEI

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

A regularization scheme for explicit level-set XFEM topology optimization

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

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

An M-VCUT level set-based data-driven model of microstructures and optimization of two-scale structures

Journal Article

Conceptual design of compliant mechanisms using level set method

Shi-kui CHEN, Michael Yu WANG

Journal Article

Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI

Journal Article

Isogeometric analysis based on geometric reconstruction models

Journal Article

A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations

Dongdong WANG, Jiarui WANG, Junchao WU, Junjun DENG, Ming SUN

Journal Article

Reliability assessment of three-dimensional bearing capacity of shallow foundation using fuzzy set theory

Rajarshi PRAMANIK, Dilip Kumar BAIDYA, Nirjhar DHANG

Journal Article

M-LFM: a multi-level fusion modeling method for shape−performance integrated digital twin of complex

Journal Article

The Research of All-set Method in Market Intelligent Economy Controlling

Bao Jifeng,Liu Yang,He Zhongxiong

Journal Article