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Principle of maximum entropy for reliability analysis in the design of machine components

Yimin ZHANG

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 1, Pages 21-32 doi: 10.1007/s11465-018-0512-z

Abstract: reliability of machine components with parameters that follow an arbitrary statistical distribution using the principleof maximum entropy (PME).PDF) and a failure probability model for the parameters of mechanical components using the concept of entropy

Keywords： machine components reliability arbitrary distribution parameter principle of maximum entropy

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The Complex Method Based on Maximum Entropy Principle and Its Application to the Slope Stability Analysis

Li Liang,Chi Shichun,Lin Gao

Strategic Study of CAE 2005, Volume 7, Issue 4, Pages 64-68

Abstract:

Maximum entropy principle is imported into the basic complex method in order to improve the ratiopresented as follows: firstly the search optimum design point is defined as the design point whose entropyThe basic complex method and the complex method based on maximum entropy principle are used to locatesoil slopes and the comparisons of the results suggest that the ability of the complex method based on maximumentropy principle to find global optimum is stronger than that of the basic complex method.

Keywords： entropy complex method slope stability factor of safety

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Maximum entropy based finite element analysis of porous media

Emad NOROUZI, Hesam MOSLEMZADEH, Soheil MOHAMMADI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2, Pages 364-379 doi: 10.1007/s11709-018-0470-x

Abstract: The maximum entropy theory has been used in a wide variety of physical, mathematical and engineeringIn this paper, the maximum entropy theory is adopted to spatially discretize the deformation variable

Keywords： maximum entropy FEM fully coupled multi-phase system porous media

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High-order phase-field model with the local and second-order max-entropy approximants

Fatemeh AMIRI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2, Pages 406-416 doi: 10.1007/s11709-018-0475-5

Abstract: We approximate the fracture surface energy functional based on phase-field method with smooth local maximumentropy (LME) and second-order maximum entropy (SME) approximants.

Keywords： second-order maximum entropy local maximum entropy second- and fourth-order phase-field models B-spline

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The Model on Maximum Entropy of Knowledge Creating Stochastic Process

Chen Xin,He Jinsheng,Dong Liping

Strategic Study of CAE 2004, Volume 6, Issue 12, Pages 43-46

Abstract: existing relevant knowledge influences the formation of the new knowledge, this thesis sets up the maximumentropy fundamental model of the stochastic prosess of knowledge innovation by applying the probability& statistics theory, the optimization theory and the maximum entropy principle comprehensively,

Keywords： maximum entropy knowledge innovation conditional entropy stochastic process

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The Optimal Control Model of Reservoir Operations andSolving With Maximum Principle

Fang Qiang,Wang Xianjia, Fang Debin

Strategic Study of CAE 2007, Volume 9, Issue 4, Pages 55-59

Abstract: perations, the paper presents the necessary condition of optimal control of reservoir operations using maximumprinciple and analyzes the characteristic and concrete expression of optimal control strategy of reservoir

Keywords： water conservancy management optimal control model maximum principle reservoiroperations

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Uncertainty propagation analysis by an extended sparse grid technique

X. Y. JIA, C. JIANG, C. M. FU, B. Y. NI, C. S. WANG, M. H. PING

Frontiers of Mechanical Engineering 2019, Volume 14, Issue 1, Pages 33-46 doi: 10.1007/s11465-018-0514-x

Abstract: uncertainty propagation analysis method is developed based on an extended sparse grid technique and maximumentropy principle, aiming at improving the solving accuracy of the high-order moments and hence theFurthermore, based on the maximum entropy principle, the obtained first four-order statistical moments

Keywords： uncertainty propagation analysis extended sparse grid maximum entropy principle extended Gauss integration

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Robust Maximum Entropy Clustering Algorithm RMEC and Its Outlier Labeling

Deng Zhaohong,Wang Shitong,Wu Xisheng,Hu Dewen

Strategic Study of CAE 2004, Volume 6, Issue 9, Pages 38-45

Abstract:

In this paper, the novel robust maximum entropy clustering algorithm RMEC, as the improved versionof the maximum entropy algorithm MEC, is presented to overcome its drawbacks: very sensitive to outliers

Keywords： entropy clustering robustness outliers ε-insensitive loss function weight factors

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Function and principle innovative design of mechanical products based on TRIZ/FA

YUAN Feng, WANG Tai-yong, NIE Hui-juan

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 3, Pages 350-355 doi: 10.1007/s11465-006-0031-1

Abstract: Function and principle innovation is the ultimate innovation of a product.To achieve Function and principle innovation design of mechanical products, a new process model of functionand principle solving is proposed, based on TRI

Keywords： TRI principle solving product principle innovation ultimate innovation

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High-entropy catalysts for electrochemical water-electrolysis of hydrogen evolution and oxygen evolution

Frontiers in Energy doi: 10.1007/s11708-023-0892-6

Abstract: High entropy materials (HEMs) have developed rapidly in the field of electrocatalytic water-electrolysisTherefore, they have rich active sites and enhanced entropy stability relative to single atoms.First, the concept and four characteristics of HEMs are introduced based on entropy and composition.

Keywords： high-entropy electrocatalysis synthetic methods water-electrolysis hydrogen and oxygen evolutions

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Application of entropy-based fuzzy matter-element analysis in seepage monitoring of RCC dam

Chongshi GU, Zhijun ZHANG, Xin CAI, Yue HOU

Frontiers of Structural and Civil Engineering 2011, Volume 5, Issue 1, Pages 105-111 doi: 10.1007/s11709-010-0015-4

Abstract: The use of entropy theory can calculate the weighting factor through the disorder utility values of theAnd further the example shows that the analysis of entropy-based fuzzy matter-element analysis model

Keywords： information entropy fuzzy matter-element roller compacted concrete (RCC) dam seepage analysis

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Optimization of cold-end system of thermal power plants based on entropy generation minimization

Frontiers in Energy 2022, Volume 16, Issue 6, Pages 956-972 doi: 10.1007/s11708-021-0785-5

Abstract: optimization methods of cold-end systems with single- and multi-pressure condensers are developed based on the entropydistribution in condensers, and cooling water mass flow rate, are optimized while considering detailed entropyThe results show that the entropy generation rate of the multi-pressure cold-end system is less than

Keywords： cold-end system entropy generation minimization optimization economic analysis genetic algorithm

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Entropy flow, entropy generation, exergy flux, and optimal absorbing temperature in radiative transfer

Zeshao CHEN, Songping MO, Peng HU, Shouli JIANG, Gang WANG, Xiaofang CHENG,

Frontiers in Energy 2010, Volume 4, Issue 3, Pages 301-305 doi: 10.1007/s11708-010-0006-0

Abstract: The formulas of entropy flow, entropy generation, exergy flux, and optimal temperature of absorbing surfacefor maximum exergy output are derived.

Keywords： radiative heat transfer entropy generation exergy thermodynamics

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Analytic Method to a Kind of Grey Fuzzy Decision Making Based on Entropy

Luo Dang,Liu Siwei

Strategic Study of CAE 2004, Volume 6, Issue 10, Pages 48-51

Abstract: In this paper, using optimization theory and the maximum entropy formulism, a method for multi-attribute

Keywords： grey fuzzy relation entropy multi-attribute decision making

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Entropy of Engineering Management and Its Application

Qiu Wanhua,Gu Xiaoyan

Strategic Study of CAE 2011, Volume 13, Issue 8, Pages 73-79

Abstract: field among management, decision theory and information science——engineering management entropyEspecially, the complex entropy decision making method, group decision making entropy model and multivariatecoupled decision-making entropy method are described.application cases are given, which prove that the proposed engineering management decision model based on entropy

Keywords： engineering management decision entropy