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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)This paper introduces a novel LS regularization approach based on a signed distance field (SDF) which

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

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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 calculation

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

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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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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 structuralthe 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.

Keywords： topology optimization     level set method     isogeometric analysis     eigenfrequency    

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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.The 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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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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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: embedded into a regular background grid, and a model reconstruction method is proposed to obtain the levelset function of the approximate model, which can be directly used in IGA.

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

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Maximum independent set in planning freight railway transportation

Gainanov Damir N., Mladenovic NENAD, Rasskazova V. A.

Frontiers of Engineering Management 2018, Volume 5, Issue 4,   Pages 499-506 doi: 10.15302/J-FEM-2018031

Abstract: We define a special conflict graph on the basis of a set of acceptable train routes.aims to solve the classical combinatorial optimization problem in relation to the maximum independent setThe level representation of the graph and its tree are introduced.these constructions, the lower and upper bounds for the number of vertices in the maximum independent set

Keywords： independent set     algorithm     planning of transportation     two-sided estimate    

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Operating mechanism and set pair analysis model of a sustainable water resources system

Chaoyang DU,Jingjie YU,Huaping ZHONG,Dandan WANG

Frontiers of Environmental Science & Engineering 2015, Volume 9, Issue 2,   Pages 288-297 doi: 10.1007/s11783-014-0642-4

Abstract: The study introduces a new approach, set pair analysis theory, to measure the state of a SWRS, and anThe evaluation index system is separated into three levels (goal level, criteria level and index levelAn evaluation model of the SWRS based on set pair analysis theory is constructed, and an example of SWRSThe sustainable use of water resources in the region is determined to be at a relatively adequate level

Keywords： sustainable water resources system     operating mechanism     set pair analysis model     Shanghai    

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Characteristics of plankton Hg bioaccumulations based on a global data set and the implications for aquatic

Frontiers of Environmental Science & Engineering 2022, Volume 16, Issue 3, doi: 10.1007/s11783-021-1471-x

Abstract:

• Hg bioaccumulation by phytoplankton varies among aquatic ecosystems.

Keywords： bioaccumulation     Physiological characteristics     A cross-system analysis     Nutrient compositions     Global data set    

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The research on structural damage identification using rough set and integrated neural network

Juelong LI, Hairui LI, Jianchun XING, Qiliang YANG

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 3,   Pages 305-310 doi: 10.1007/s11465-013-0259-5

Abstract: To efficiently solve this problem, a new damage identification method based on rough set and integratedIn brief, rough set was used to reduce attributes so as to decrease spatial dimensions of data and extract

Keywords： rough set     integrated neural network     damage identification     decision making fusion    

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All Set and Artificial Intelligence

Zhang Jiang,Lin Hua,He Zhongxiong

Strategic Study of CAE 2002, Volume 4, Issue 3,   Pages 40-47

Abstract:

This paper presents a brand new set theory, All Set theory, which is the united set form of the currentset theories including crisp set, fuzzy set, extension set, vague set, rough set, set pair analysis,The operation of the all set is also discussed in detail.set is the united form.method for establishing new set theory and new logic.

Keywords： all set     artificial intelligence     set theory     operation     logic    

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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

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

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Data mining diagnosis system based on rough set theory for boilers in thermal power plants

YANG Ping

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 2,   Pages 162-167 doi: 10.1007/s11465-006-0017-z

Abstract: system, a focusing quantization algorithm is proposed to discretize all variables in the preparation setA reduction algorithm based on rough set theory is designed to find minimum reducts from all discretevariables in the preparation set to represent diagnosis rules succinctly.
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Title Author Date Type Operation

A regularization scheme for explicit level-set XFEM topology optimization

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

Journal Article

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

Yingjun WANG,David J. BENSON

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

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

Conceptual design of compliant mechanisms using level set method

Shi-kui CHEN, Michael Yu WANG

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

Isogeometric analysis based on geometric reconstruction models

Journal Article

Maximum independent set in planning freight railway transportation

Gainanov Damir N., Mladenovic NENAD, Rasskazova V. A.

Journal Article

Operating mechanism and set pair analysis model of a sustainable water resources system

Chaoyang DU,Jingjie YU,Huaping ZHONG,Dandan WANG

Journal Article

Characteristics of plankton Hg bioaccumulations based on a global data set and the implications for aquatic

Journal Article

The research on structural damage identification using rough set and integrated neural network

Juelong LI, Hairui LI, Jianchun XING, Qiliang YANG

Journal Article

All Set and Artificial Intelligence

Zhang Jiang,Lin Hua,He Zhongxiong

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

Data mining diagnosis system based on rough set theory for boilers in thermal power plants

YANG Ping

Journal Article