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A novel synthesis of pyrazolo[3,4-b]pyridine derivatives through multi-component reaction in ionic liquid 被引量:3
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作者 Xin Ying Zhang Xiao Yan Li Xue Sen Fan Xia Wang Jian Ji Wang Gui Rong Qu 《Chinese Chemical Letters》 SCIE CAS CSCD 2008年第2期153-156,共4页
An efficient and novel procedure for the preparation of pyrazolo[3,4-b]pyridine derivatives through multi-component reaction of aldehyde, 5-amino-3-methyl-1-phenylpyrazole and malononitrile or cyanoacetate in [bmim][B... An efficient and novel procedure for the preparation of pyrazolo[3,4-b]pyridine derivatives through multi-component reaction of aldehyde, 5-amino-3-methyl-1-phenylpyrazole and malononitrile or cyanoacetate in [bmim][BF4] is described in this paper. Advantages of the method presented here include mild conditions, high yields together with a green nature and ease of recovery and reuse of the reaction medium. 展开更多
关键词 Pyrazolo[3 4-b]pyridine multi-component reaction Ionic liquid
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Rh(Ⅱ) and Zn(Ⅱ) co-catalyzed multi-component reaction for the synthesis of vicinal diols 被引量:1
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作者 Xu Zhang Xin Guo +1 位作者 Li Ping Yang Wen Hao Hu 《Chinese Chemical Letters》 SCIE CAS CSCD 2009年第11期1299-1302,共4页
Oxonium ylide intermediates generated from α-diazocarbonyl compounds and water were trapped by Zn(Ⅱ)-activated α- dicarbonyl compounds. The reaction gave α,β-dihydroxyl acid derivatives in moderate yield.
关键词 multi-component reaction α-Diazocarbonyl compounds Zn(OTf)2 α-Dicarbonyl compounds
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Synthesis of novel uracil based 2,5-diaminofurans using multi-component reactions 被引量:2
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作者 Robabeh Baharfar Seyed Meysam Baghbanian 《Chinese Chemical Letters》 SCIE CAS CSCD 2012年第6期677-680,共4页
A simple synthesis of highly functionalized 2,5-diaminofurans based pyrimidine derivatives from 1-(carboxymethyl)uracil via a multi-component reaction is described. The reactive 1:1 intermediate produced from the r... A simple synthesis of highly functionalized 2,5-diaminofurans based pyrimidine derivatives from 1-(carboxymethyl)uracil via a multi-component reaction is described. The reactive 1:1 intermediate produced from the reaction of tert-butyl isocyanide and dialkyl acetylenedicarboxylates was trapped at room temperature by 1-(carboxymethyl)uracil derivatives to yield polyfunctio- nalized furan rings in fairly good yields. 展开更多
关键词 multi-component reactions 2 5-Diaminofurans 1-(Carboxymethyl)uracil tert-Butyl isocyanide Dialkyl acetylene-dicarboxylate
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Synthesis of 2-Trifluoromethyl-4-aminoquinolines via Heating-Promoted Multi-component Reaction of CF_(3)-Imidoyl Sulfoxonium Ylides and Amines with Difluorocarbene as a C1 Synthon
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作者 Guangming Wei Chen Li +2 位作者 Haoyuan Wang Zhengkai Chen Xiao-Feng Wu 《Chinese Journal of Chemistry》 SCIE CAS CSCD 2023年第23期3205-3210,共6页
A thermally-induced multi-component reaction of CF_(3)-substituted imidoyl sulfoxonium ylides(TFISYs),amines and(triphenylphosphonio)difluoroacetate(PDFA)has been developed,allowing a facile access to 2-trifluoromethy... A thermally-induced multi-component reaction of CF_(3)-substituted imidoyl sulfoxonium ylides(TFISYs),amines and(triphenylphosphonio)difluoroacetate(PDFA)has been developed,allowing a facile access to 2-trifluoromethyl-4-aminoquinolines in high yields.The reaction proceeds smoothly with or without the addition of sulfur and utilizes difluorocarbene as a C1 synthon under simply heating conditions.Mechanistic study reveals that in-situ generated thiocarbonyl fluoride,isothiocyanate or gem-difluoroalkene might act as the key reaction intermediates. 展开更多
关键词 CF_(3)-Imidoyl sulfoxonium ylides DIFLUOROCARBENE multi-component reaction 2-Trifluoromethyl-4-aminoquinolines N-Heterocyclic compounds
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An asymmetric catalytic multi-component reaction enabled the green synthesis of isoserine derivatives and semi-synthesis of paclitaxel
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作者 Taoda Shi Xinglin Li +4 位作者 Yukai Li Xiang Fu Linna Wu Dengqing Wu Wenhao Hu 《Green Synthesis and Catalysis》 2023年第1期58-63,共6页
Paclitaxel(Taxol^(@))as a cornerstone of chemotherapy remains in high demand.The semi-synthesis of paclitaxel via coupling of Taxus leaf-produced baccatin III and manually synthesized isoserine(C-13 side chain)is one ... Paclitaxel(Taxol^(@))as a cornerstone of chemotherapy remains in high demand.The semi-synthesis of paclitaxel via coupling of Taxus leaf-produced baccatin III and manually synthesized isoserine(C-13 side chain)is one of the solutions to avoid environmental damage caused by the sacrifice of the whole Taxus brevifolia.A green synthesis of the C-13 side chain is pivotal to the green production of paclitaxel.We herein report a green synthesis of isoserine derivatives and the semi-synthesis of paclitaxel via a straightforward assembly of isoserines based on an Rh2(TPA)3(OAc)/CPA1 co-catalyzed asymmetric multi-component reaction of ethyl diazoacetate,triethyl silanol and N-(anthrancen-9-ylmethyl)benzaldimine.The method is featured by improved atom economy,effective mass yield,and environmental factors compared to our previous racemic method and BMS company's semi-synthesis method.And the method allows for rapid access to paclitaxel derivatives with varied C-13 side chains. 展开更多
关键词 Asymmetric catalysis multi-component reaction Green semi-synthesis PACLITAXEL
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Research on shell-side heat and mass transfer with multi-component in LNG spiral-wound heat exchanger under sloshing conditions
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作者 Xue-Ping Du Guang-Lei Yu +3 位作者 Ya-Cheng Xu Zhi-Jie Chen Nai-Liang Li Huan-Guang Wang 《Petroleum Science》 SCIE EI CAS CSCD 2024年第2期1333-1345,共13页
The spiral-wound heat exchanger(SWHE) is the primary low-temperature heat exchanger for large-scale LNG plants due to its high-pressure resistance, compact structure, and high heat exchange efficiency. This paper stud... The spiral-wound heat exchanger(SWHE) is the primary low-temperature heat exchanger for large-scale LNG plants due to its high-pressure resistance, compact structure, and high heat exchange efficiency. This paper studied the shell-side heat and mass transfer characteristics of vapor-liquid two-phase mixed refrigerants in an SWHE by combining a multi-component model in FLUENT software with a customized multicomponent mass transfer model. Besides, the mathematical model under the sloshing condition was obtained through mathematical derivation, and the corresponding UDF code was loaded into FLUENT as the momentum source term. The results under the sloshing conditions were compared with the relevant parameters under the steady-state condition. The shell-side heat and mass transfer characteristics of the SWHE were investigated by adjusting the component ratio and other working conditions. It was found that the sloshing conditions enhance the heat transfer performance and sometimes have insignificant effects. The sloshing condition is beneficial to reduce the flow resistance. The comprehensive performance of multi-component refrigerants has been improved and the improvement is more significant under sloshing conditions, considering both the heat transfer and pressure drop.These results will provide theoretical support for the research and design of multi-component heat and mass transfer enhancement of LNG SWHE under ocean sloshing conditions. 展开更多
关键词 Spiral-wound heat exchanger Sloshing conditions Two-phase flow multi-component Heat and mass transfer
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Tandem synthesis of functionalized hexaalkyl benzoisoquinolinopyrrolonaphthyridine-hexacarboxylate, via isoquinoline based multi-component reaction 被引量:5
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作者 Mohammad Piltan Issa Yavari Loghman Moradi 《Chinese Chemical Letters》 SCIE CAS CSCD 2013年第11期979-983,共5页
An expedient,synthetic method to fused polycyclic derivatives of isoquinoline is described via tandem reaction of isoquinoline,dialkyl acetylenedicarboxylates and dialkyl chloromalonate.
关键词 Isoquinoline Tandem reaction Acetylenic esters Dialkyl chloromalonate
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Highly mass activity electrocatalysts with ultralow Pt loading on carbon black for hydrogen evolution reaction
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作者 Shaorou Ke Yajing Zhao +6 位作者 Xin Min Yanghong Li Ruiyu Mi Yangai Liu Xiaowen Wu Minghao Fang Zhaohui Huang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS 2025年第1期182-190,共9页
Pt-based nanocatalysts offer excellent prospects for various industries.However,the low loading of Pt with excellent performance for efficient and stable nanocatalysts still presents a considerable challenge.In this s... Pt-based nanocatalysts offer excellent prospects for various industries.However,the low loading of Pt with excellent performance for efficient and stable nanocatalysts still presents a considerable challenge.In this study,nanocatalysts with ultralow Pt content,excellent performance,and carbon black as support were prepared through in-situ synthesis.These~2-nm particles uniformly and stably dispersed on carbon black because of the strong s-p-d orbital hybridizations between carbon black and Pt,which suppressed the agglomeration of Pt ions.This unique structure is beneficial for the hydrogen evolution reaction.The catalysts exhibited remarkable catalytic activity for hydrogen evolution reaction,exhibiting a potential of 100 mV at 100 mA·cm^(-2),which is comparable to those of commercial Pt/C catalysts.Mass activity(1.61 A/mg)was four times that of a commercial Pt/C catalyst(0.37 A/mg).The ultralow Pt loading(6.84wt%)paves the way for the development of next-generation electrocatalysts. 展开更多
关键词 hydrogen evolution reaction ultralow platinum in-situ synthesis ULTRASOUND
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Boosting Oxygen Evolution Reaction Performance on NiFe‑Based Catalysts Through d‑Orbital Hybridization
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作者 Xing Wang Wei Pi +3 位作者 Sheng Hu Haifeng Bao Na Yao Wei Luo 《Nano-Micro Letters》 SCIE EI CAS 2025年第1期281-292,共12页
Anion-exchange membrane water electrolyzers(AEMWEs)for green hydrogen production have received intensive attention due to their feasibility of using earth-abundant NiFe-based catalysts.By introducing a third metal int... Anion-exchange membrane water electrolyzers(AEMWEs)for green hydrogen production have received intensive attention due to their feasibility of using earth-abundant NiFe-based catalysts.By introducing a third metal into NiFe-based catalysts to construct asymmetrical M-NiFe units,the d-orbital and electronic structures can be adjusted,which is an important strategy to achieve sufficient oxygen evolution reaction(OER)performance in AEMWEs.Herein,the ternary NiFeM(M:La,Mo)catalysts featured with distinct M-NiFe units and varying d-orbitals are reported in this work.Experimental and theoretical calculation results reveal that the doping of La leads to optimized hybridization between d orbital in NiFeM and 2p in oxygen,resulting in enhanced adsorption strength of oxygen intermediates,and reduced rate-determining step energy barrier,which is responsible for the enhanced OER performance.More critically,the obtained NiFeLa catalyst only requires 1.58 V to reach 1 A cm^(−2) in an anion exchange membrane electrolyzer and demonstrates excellent long-term stability of up to 600 h. 展开更多
关键词 NiFe-based catalysts d-orbital coupling Oxygen evolution reaction Anion exchange membrane electrolyzer
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An environmentally benign multi-component reaction:Highly regioselective synthesis of functionalized 2-(diarylphosphoryl)-1,2-dihydro-pyridine derivatives
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作者 Kun Li Ying Lv +2 位作者 Zihan Lu Xinghan Yun Shengjiao Yan 《Green Synthesis and Catalysis》 2022年第1期59-68,共10页
A novel protocol was developed for the construction of highly functionalized 2-(diarylphosphoryl)-1,2-dihydropyridine derivatives(DAPDHPs)from 3-formylchromones(1),heterocyclic ketene aminals(HKAs,2),and phosphine oxi... A novel protocol was developed for the construction of highly functionalized 2-(diarylphosphoryl)-1,2-dihydropyridine derivatives(DAPDHPs)from 3-formylchromones(1),heterocyclic ketene aminals(HKAs,2),and phosphine oxides(R_(2)P(O)H,3)via a novel,one-pot cascade reaction.Optimization of the reaction conditions determined that refluxing the mixture of the 3-formylchromones,HKAs,and various R_(2)P(O)H in propylene carbonate(PC)in the presence of triethylamine as a base facilitated the highest yields of the DAPDHP products.This cascade reaction,which involved the cleavage of one C-O bond in the 3-formylchromone substrates and the formation of three new bonds(one C-C,one C-N,and one C-P bond),enabled the synthesis of a small library of DAPDHP products.The dearomatized DAPDHP products were formed by the regioselective nucleophilic addition of the R_(2)P(O)H reagents to the intermediate pyridinium salts 8.This approach has several advantages such as the use of an environmentally-friendly solvent,simple and practical operation(with filtration and washing without column chromatography separation),good yields,and a product with potential biological activity. 展开更多
关键词 2-(Diarylphosphoryl)-1 2-dihydropyridine Cascade reaction Selective synthesis Heterocyclic ketene aminals
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AVAILABILITY SIMULATION OF MULTI-COMPONENT SYSTEM BASED ON OPPORTUNISTIC MAINTENANCE POLICY 被引量:5
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作者 蔡景 左洪福 吕德峰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第3期219-223,共5页
A multi-component system has the long fixed maintenance time, so the opportunistic maintenance policy is adopted to put preventive replacement and corrective replacement together, so that the long fixed maintenance ti... A multi-component system has the long fixed maintenance time, so the opportunistic maintenance policy is adopted to put preventive replacement and corrective replacement together, so that the long fixed maintenance time can be shared by more than one component, and the system availability can be improved. Then, the generation characteristics of the random failure time are researched based on the replacement maintenance and the minima[ maintenance. Furthermore, by choosing the opportunistic replacement ages of each component as opti- mized variables, a simulation algorithm based on an opportunistic maintenance policy is designed to maximize the total availability. Finally, the simulation result shows the validity of the algorithm by an example. 展开更多
关键词 AVAILABILITY multi-component system ALGORITHMS opportunistic maintenance minimal maintenance
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Multi-component Dirac equation hierarchy and its multi-component integrable couplings system 被引量:8
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作者 夏铁成 尤福财 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第3期605-610,共6页
A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and... A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M- dimensional loop algebra ~X is produced. By taking advantage of ~X a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra ~FM of the loop algebra ~X is presented. Based on the ~FM, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies. 展开更多
关键词 loop algebra zero curvature equation multi-component Dirac equation hierarchy multi-component integrable couplings system
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Multi-component AVO response of thin beds based on reflectance spectrum theory 被引量:7
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作者 Chen Tiansheng Liu Yang 《Applied Geophysics》 SCIE CSCD 2006年第1期27-36,共10页
Seismic AVO analysis now is one of the major criteria for recognizing potential hydrocarbon reservoirs. Volume scattering information that carries information of stratigraphic structure, lithology, and pore fluid is m... Seismic AVO analysis now is one of the major criteria for recognizing potential hydrocarbon reservoirs. Volume scattering information that carries information of stratigraphic structure, lithology, and pore fluid is more useful for seismic exploration. However, traditional AVO analysis is based on the Zoeppritz equation, which only contains single-interface information. Quantitative interpretation of the thin bed thickness is essential to thin bed structure interpretation, reservoir description, and lateral reservoir prediction. The reflectance spectrum equation based on the elastic wave propagation matrix in the frequency domain derived in this paper shows that both interfaces and intervals have an effect on amplitude. The equation includes information about both single interfaces and volume scattering. Since the reflectance spectrum equation is a continuous function of thin bed thickness and frequency, it is convenient to analyze the effects of a single frequency and bed thickness on the reflectance spectrum. Bed thickness is analyzable until the bed thickness is vanishingly small. These characteristics can't be achieved by Fourier transform. The propagation of seismic waves is complex and various wave modes exist simultaneously. The reflectance spectrum includes various propagating wave modes and multiples and is better for simulating multi-component thin bed AVO responses than the ray tracing method. 展开更多
关键词 AVO multi-component thin bed reflectance-spectnun.
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Layout problem of multi-component systems arising for improving maintainability 被引量:5
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作者 罗旭 杨拥民 +2 位作者 葛哲学 温熙森 官凤娇 《Journal of Central South University》 SCIE EI CAS 2014年第5期1833-1841,共9页
To improve the mainlainability design efficiency and quality, a layout optimization method for maintainability of multi-component systems was proposed. The impact of the component layout design on system maintainabili... To improve the mainlainability design efficiency and quality, a layout optimization method for maintainability of multi-component systems was proposed. The impact of the component layout design on system maintainability was analyzed, and the layout problem for maintainability was presented. It was formulated as an optimization problem, where maintainability, layout space and distance requirement were formulated as objective functions. A multi-objective particle swarm optimization algorithm, in which the constrained-domination relationship and the update strategy of the global best were simply modified, was then used to obtain Pareto optimal solutions for the maintainability layout design problem. Finally, application in oxygen generation system of a spacecraft was studied in detail to illustrate the effectiveness and usefulness of the proposed method. The results show that the concurrent maintainability design can be carried out during the layout design process by solving the layout optimization problem for maintainability. 展开更多
关键词 MAINTAINABILITY layout problem OPTIMIZATION multi-component system multi-objective particle swarm optimization
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Multi-scale and multi-component digital core construction and elastic property simulation 被引量:3
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作者 Cui Li-Kai Sun Jian-Meng +1 位作者 Yan Wei-Chao Dong Huai-Min 《Applied Geophysics》 SCIE CSCD 2020年第1期26-36,167,共12页
The conventional digital core models are usually small in size and have difficulty in representing the complex structures of heterogeneous rocks;Therefore,the parameters of simulated rock physics are difficult to be r... The conventional digital core models are usually small in size and have difficulty in representing the complex structures of heterogeneous rocks;Therefore,the parameters of simulated rock physics are difficult to be referenced.In this study,we propose a feasible simulation method for obtaining multi-scale and multi-component digital cores based on three types of sandstone samples.In the proposed method,the plug and subplug samples are scanned via micro-computed tomography at different resolutions.Furthermore,the images are precisely registered using the proposed hybrid image registration method.In case of high-resolution images,the traditional segmentation method is used to segment the cores into pores and minerals.Subsequently,we established the relations between the gray values and the porosity/mineral content in case of the low-resolution images based on the registered domains and the relation curves were applied to the segmentation of the low-resolution images.The core images constitute the multi-scale and multi-component digital core models after segmentation.Further,the elastic properties of the three samples were simulated at both fine and coarse scales based on the multi-scale and multi-component digital core models,and four component models were considered.The results show that the multi-scale and multi-component digital core models can overcome the representative limits of the conventional digital core models and accurately characterize pores and minerals at different scales.The numerical results of the elastic modulus are more representative at large scales,and considerably reliable results can be obtained by appropriately considering the minerals. 展开更多
关键词 elastic properties digital core MULTI-SCALE multi-component
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Opportunistic maintenance for multi-component systems considering structural dependence and economic dependence 被引量:6
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作者 Junbao Geng Michael Azarian Michael Pecht 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第3期493-501,共9页
Although opportunistic maintenance strategies are widely used for multi-component systems, all opportunistic mainte- nance strategies only consider economic dependence and do not take structural dependence into accoun... Although opportunistic maintenance strategies are widely used for multi-component systems, all opportunistic mainte- nance strategies only consider economic dependence and do not take structural dependence into account. An opportunistic main- tenance strategy is presented for a multi-component system that considers both structural dependence and economic dependence. The cost relation and time relation among components based on structural dependence are developed. The maintenance strategy for each component of a multi-component system involves one of five maintenance actions, namely, no-maintenance, a minimal maintenance action, an imperfect maintenance action, a perfect maintenance action, and a replacement action. The maintenance action is determined by the virtual age of the component, the life expectancy of the component, and the age threshold values. Monte Carlo simulation is designed to obtain the optimal oppor- tunistic maintenance strategy of the system over its lifetime. The simulation result reveals that the minimum maintenance cost with a strategy that considers structural dependence is less than that with a strategy that does not consider structural dependence. The availability with a strategy that considers structural dependence is greater than that with a strategy that does not consider structural dependence under the same conditions. 展开更多
关键词 opportunistic maintenance multi-component system structural dependence Monte Carlo simulation maintenance cost.
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Data Mining-Based Maintenance Management Framework of Multi-component System 被引量:3
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作者 周瑜 《Journal of Donghua University(English Edition)》 EI CAS 2015年第6期950-953,共4页
Complex repairable system is composed of thousands of components.Some maintenance management and decision problems in maintenance management and decision need to classify a set of components into several classes based... Complex repairable system is composed of thousands of components.Some maintenance management and decision problems in maintenance management and decision need to classify a set of components into several classes based on data mining.Furthermore,with the complexity of industrial equipment increasing,the managers should pay more attention to the key components and carry out the lean management is very important.Therefore,the idea"customer segmentation"of"precise marketing"can be used in the maintenance management of the multi-component system.Following the idea of segmentation,the components of multicomponent systems should be subdivied into groups based on specific attributes relevant to maintenance,such as maintenance cost,mean time between failures,and failure frequency.For the target specific groups of parts,the optimal maintenance policy,health assessment and maintenance scheduling can be determined.The proposed analysis framework will be given out.In order to illustrate the effectiveness of this method,a numerical example is given out. 展开更多
关键词 maintenance management multi-component system data mining association rules CLUSTERING
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Thermo-Calc based multi-component micro-segregation model and solidification paths calculations 被引量:3
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作者 Zhao Guangwei Li XinZhong +4 位作者 Xu Daming Guo Jingjie Fu Hengzhi Du Yong He Yuehui 《China Foundry》 SCIE CAS 2012年第3期269-274,共6页
On the basis of a multi-length scale modeling, a mixture-averaged multi-component/multiphase micro- segregation model was proposed without pre-set function for the micro-scale solute profile. The model explains the ef... On the basis of a multi-length scale modeling, a mixture-averaged multi-component/multiphase micro- segregation model was proposed without pre-set function for the micro-scale solute profile. The model explains the effect of morphologies of solidifying phases and solid back diffusion (SBD) on segregation, and covers the two limiting solidification cases of Scheil and Lever-rule models. A commercial Thermo-Calc software package/database was linked to the algorithms via its TQ6-interface for instantaneous determination of the related thermodynamic data of the multi-component alloys. The influences of cooling rate and other parameters on the solidification path and micro-segregation behavior were numerically investigated by sample calculation of the ternary AI-Cu-Mg alloys. A parallel experimental investigation on AI-Cu-Si alloys solidified under different cooling conditions was conducted to validate the theoretical model. Reasonable agreements were gained between the predicted solidification paths and the measured results. 展开更多
关键词 solidification path MICRO-SEGREGATION multi-component/multi-phase alloys THERMO-CALC
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Multi-component synthesis of methylene bis isoxazolo[4,5-b]-pyridine-N-oxides 被引量:2
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作者 E.Rajanarendar M.Nagi Reddy K.Rama Murthy 《Chinese Chemical Letters》 SCIE CAS CSCD 2010年第8期927-930,共4页
A three component one-pot protocol was investigated for the synthesis of methylene bis isoxazolo[4,5-b]-pyridine-N-oxides from commercially available materials.
关键词 multi-component synthesis Knoevenagel condensation Michael addition New methodology
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Generalized Multi-component TC Hierarchy and Its Multi-component Integrable Coupling System 被引量:1
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作者 XIA Tie-Cheng YOU Fu-Cai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期793-798,共6页
A new 3M-dimensional Lie algebra X is constructed firstly. Then, the corresponding loop algebra X is produced, whose commutation operation defined by us is as simple and straightforward as that in the loop algebra A1.... A new 3M-dimensional Lie algebra X is constructed firstly. Then, the corresponding loop algebra X is produced, whose commutation operation defined by us is as simple and straightforward as that in the loop algebra A1.It follows that a generalscheme for generating multi-component integrable hierarchy is proposed. By taking advantage of X, a new isospectral problem is established, and then well-known multi-component TC hierarchy is obtained. Finally,an expanding loop algebra FM of the loop algebra X is presented. Based on the FM, the multi-component integrable coupling system of the generalized multi-component TC hierarchy has been worked out. The method in this paper can be applied to other nonlinear evolution equations hierarchies. It is easy to find that we can construct any finite-dimensional Lie algebra by this approach. 展开更多
关键词 loop algebra multi-component TC hierarchy multi-component integrable coupling system
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