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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.the continuity of objective and constraint functions by incorporating one parameter, namely, level setThe 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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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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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 areproposed XFEM is a promising structural analysis approach for structural optimization with the level setmethod.

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-uniformgeometry representation, but also for IGA-based dynamic analysis and parameterization of the level setsurface, 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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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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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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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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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 concurrentlyThis 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 setoptimization is conformally fit into the wrapping boundary layer using the shape-preserving conformal mapping methodThe proposed method is expected to provide a timely solution to the increasing demand for multiscale

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

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A Method of Constructing Fuzzy Neural Network Based on Rough Set Theory

Huang Xianming,Yi Jikai

Strategic Study of CAE 2004, Volume 6, Issue 4,   Pages 44-50

Abstract:

A new method of constructing fuzzy neural network is presented and Rough set theory is applied tothis method.Since Rough set theory has strong numeric analyzing ability and fuzzy neural network has exact functionFirst, some rules are acquired from given data set by rough set theory.in this paper, an example of nonlinear function approaching is discussed and the feasibility of this method

Keywords： fuzzy neural network     rough set     acquire rule     function approaching    

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Enterprise technology innovation competence renewal method based on rough set

Miao Chenglin,Feng Junwen

Strategic Study of CAE 2011, Volume 13, Issue 9,   Pages 109-112

Abstract: behaviors under the new requests.This article studied enterprise technology innovation competence renewal methodunder the new requests based on rough set theory, acquiring the renewal order with the minimal expense

Keywords： technology innovation competence     renewal     rough set theory    

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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 setthese 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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Multistage analysis method for detection of effective herb prescription from clinical data

Kuo Yang, Runshun Zhang, Liyun He, Yubing Li, Wenwen Liu, Changhe Yu, Yanhong Zhang, Xinlong Li, Yan Liu, Weiming Xu, Xuezhong Zhou, Baoyan Liu

Frontiers of Medicine 2018, Volume 12, Issue 2,   Pages 206-217 doi: 10.1007/s11684-017-0525-8

Abstract: In this study, a multistage analysis method that integrates propensity case matching, complex networkanalysis, and herb set enrichment analysis was proposed to identify effective herb prescriptions forThen, core network extraction and herb set enrichment were combined to detect core effective herb prescriptionsThis method was applied on a TCM clinical data set with 955 patients collected from well-designed observational

Keywords： effective prescription detection     herb set enrichment analysis     core network extraction     insomnia     personalized    

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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 anAn evaluation model of the SWRS based on set pair analysis theory is constructed, and an example of SWRS

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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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

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

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

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

Rajarshi PRAMANIK, Dilip Kumar BAIDYA, Nirjhar DHANG

Journal Article

A regularization scheme for explicit level-set XFEM topology optimization

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

Journal Article

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

Bao Jifeng,Liu Yang,He Zhongxiong

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

A Method of Constructing Fuzzy Neural Network Based on Rough Set Theory

Huang Xianming,Yi Jikai

Journal Article

Enterprise technology innovation competence renewal method based on rough set

Miao Chenglin,Feng Junwen

Journal Article

Maximum independent set in planning freight railway transportation

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

Journal Article

Multistage analysis method for detection of effective herb prescription from clinical data

Kuo Yang, Runshun Zhang, Liyun He, Yubing Li, Wenwen Liu, Changhe Yu, Yanhong Zhang, Xinlong Li, Yan Liu, Weiming Xu, Xuezhong Zhou, Baoyan Liu

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