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Complex adaptive system theory,agent-based modeling,and simulation in dominant technology formation
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作者 ZHANG Ruihan SUN Bing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2024年第1期130-153,共24页
Dominant technology formation is the key for the hightech industry to“cross the chasm”and gain an established foothold in the market(and hence disrupt the regime).Therefore,a stimulus-response model is proposed to i... Dominant technology formation is the key for the hightech industry to“cross the chasm”and gain an established foothold in the market(and hence disrupt the regime).Therefore,a stimulus-response model is proposed to investigate the dominant technology by exploring its formation process and mechanism.Specifically,based on complex adaptive system theory and the basic stimulus-response model,we use a combination of agent-based modeling and system dynamics modeling to capture the interactions between dominant technology and the socio-technical landscape.The results indicate the following:(i)The dynamic interaction is“stimulus-reaction-selection”,which promotes the dominant technology’s formation.(ii)The dominant technology’s formation can be described as a dynamic process in which the adaptation intensity of technology standards increases continuously until it becomes the leading technology under the dual action of internal and external mechanisms.(iii)The dominant technology’s formation in the high-tech industry is influenced by learning ability,the number of adopting users and adaptability.Therein,a“critical scale”of learning ability exists to promote the formation of leading technology:a large number of adopting users can promote the dominant technology’s formation by influencing the adaptive response of technology standards to the socio-technical landscape and the choice of technology standards by the socio-technical landscape.There is a minimum threshold and a maximum threshold for the role of adaptability in the dominant technology’s formation.(iv)The socio-technical landscape can promote the leading technology’s shaping in the high-tech industry,and different elements have different effects.This study promotes research on the formation mechanism of dominant technology in the high-tech industry,presents new perspectives and methods for researchers,and provides essential enlightenment for managers to formulate technology strategies. 展开更多
关键词 complex adaptive system theory agent-based modeling and simulation dominant technology socio-technical landscape adaptation-choice
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Layered injection technology for chemical flooding of Class-Ⅲ oil reservoirs in the Daqing Oil Fields complex,Songliao Basin,Northeast China
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作者 Haicheng Li 《Energy Geoscience》 2023年第1期51-58,共8页
The Class-Ⅲ oil reservoirs of Lasaxing oilfield in the Daqing Oil Fields complex have geological oil reserves of 1.86 billion tonnes,an oil recovery of 39%,with remaining reserves accounting for more than 45%of the t... The Class-Ⅲ oil reservoirs of Lasaxing oilfield in the Daqing Oil Fields complex have geological oil reserves of 1.86 billion tonnes,an oil recovery of 39%,with remaining reserves accounting for more than 45%of the total geological reserves of the oilfield.Therefore,they have considerable potential for future oil production.The current layered injection technologies fail to achieve effective control over the low single-layer injection rates since they can only produce low throttle differential pressure under low injection rates(5-20 m^(3)/d).In this study,a symmetrically-structured double-offset-hole injection allocator and a novel throttling component were developed.Their spatial layout was constructed and mechanical parameters were optimized using finite element analysis,which allows for expanding the flow rate range at low injection rates.According to experimental results,the throttle differential pressure increased from 0.2 MPa to 0.8 MPa at an injection rate of 5 m^(3)/d,and the range of the single-layer flow rates expanded from 20-70 m^(3)/d to 5-70 m3/d.The field test results show that the effective production of oil layers with medium and low permeability was achieved and that the ratio of producing oil layer thickness to the total reservoir thickness increased by 9.7%on average.Therefore,this study provides valuable technical support for the effective chemical-flooding-based development of Class-Ⅲ oil reservoirs. 展开更多
关键词 Chemical flooding Layered injection technology Low injection rate Lasaxing oilfield Daqing Oil Fields complex Songliao Basin
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Method for near-net forming of a sand mold with digital flexible extrusion technology
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作者 Shuai Zhang Zhong-de Shan +1 位作者 Jing-wei Ji Zhao-xian Gu 《China Foundry》 SCIE 2017年第6期492-497,共6页
In order to further improve the precision forming efficiency of a sand mold digital patternless casting and reduce the amount of sand mold cutting, a method for near-net forming of the sand mold with digital flexible ... In order to further improve the precision forming efficiency of a sand mold digital patternless casting and reduce the amount of sand mold cutting, a method for near-net forming of the sand mold with digital flexible extrusion technology was put forward. The theory, optimization algorithm and technology for sand mold nearnet forming were studied. Experimental results show that the sand mold forming efficiency can be increased by 34%, and the molding sand can be reduced by 44%. The method for near-net forming of a sand mold with digital flexible extrusion technology can effectively promote the application of digital patternless casting technology in the mass production of castings and thus greatly improves the efficiency and automation of sand mold manufacturing. 展开更多
关键词 patternless casting technology near-net forming sand mold flexible extrusion technology geometric packing
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Analysis on Pore-Forming Pouring Pile Construction Technology of House Building Project
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作者 Lili Hu 《Open Journal of Civil Engineering》 2016年第4期697-703,共8页
Compared with the in-place pile, the pore-forming pouring pile is more simple and convenient, with a wider range of construction. In the actual construction process, it is able to pass through complex bottom layer and... Compared with the in-place pile, the pore-forming pouring pile is more simple and convenient, with a wider range of construction. In the actual construction process, it is able to pass through complex bottom layer and water layer underground without very high requirements in equipment. The actual bearing capacity of single pile is very strong, so that it can be better to adapt to the actual needs of different scales or the different geological conditions in building. And it has been promoted and used greatly in building construction work [1]. This paper introduces the concept of the pore-forming pouring pile technology, analyzes the pore-forming construction technology and the pile construction technology, then talks about prevention problems of the pore-forming pouring pile construction in House Building Project, at last draws a conclusion that the pore-forming pouring pile technology is the most basic construction technology and is the most effective and convenient way of construction. 展开更多
关键词 Building Construction Pore-forming Pouring Pile Normal Circulation Rotary Drilling Holes forming technology
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Simulating Some Complex Phenomena in Hydrothermal Ore-Forming Processes by Reaction-Diffusion CNN 被引量:1
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作者 Xu Deyi Yu Chongwen Bao Zhengyu Geochemistry Institute, China University of Geosciences, Wuhan 430074 《Journal of China University of Geosciences》 SCIE CSCD 2003年第3期215-219,共5页
Complexity phenomena like dynamic and static patterns, order from disorder, chaos and catastrophe were simulated by the application of 2-D reaction-diffusion CNN of two state variables and two diffusion coefficients t... Complexity phenomena like dynamic and static patterns, order from disorder, chaos and catastrophe were simulated by the application of 2-D reaction-diffusion CNN of two state variables and two diffusion coefficients transformed from Zhabotinksii model. They revealed somehow the mechanism of hydrothermal ore-forming processes, and answered several questions about the onset of ore forming. 展开更多
关键词 hydrothermal ore forming complexity reaction-diffusion CNN
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High-efficiency forming processes for complex thin-walled titanium alloys components: state-of-the-art and perspectives 被引量:11
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作者 Kehuan Wang Liliang Wang +4 位作者 Kailun Zheng Zhubin He Denis J Politis Gang Liu Shijian Yuan 《International Journal of Extreme Manufacturing》 2020年第3期17-40,共24页
Complex thin-walled titanium alloy components play a key role in the aircraft,aerospace and marine industries,offering the advantages of reduced weight and increased thermal resistance.The geometrical complexity,dimen... Complex thin-walled titanium alloy components play a key role in the aircraft,aerospace and marine industries,offering the advantages of reduced weight and increased thermal resistance.The geometrical complexity,dimensional accuracy and in-service properties are essential to fulfill the high-performance standards required in new transportation systems,which brings new challenges to titanium alloy forming technologies.Traditional forming processes,such as superplastic forming or hot pressing,cannot meet all demands of modern applications due to their limited properties,low productivity and high cost.This has encouraged industry and research groups to develop novel high-efficiency forming processes.Hot gas pressure forming and hot stamping-quenching technologies have been developed for the manufacture of tubular and panel components,and are believed to be the cut-edge processes guaranteeing dimensional accuracy,microstructure and mechanical properties.This article intends to provide a critical review of high-efficiency titanium alloy forming processes,concentrating on latest investigations of controlling dimensional accuracy,microstructure and properties.The advantages and limitations of individual forming process are comprehensively analyzed,through which,future research trends of high-efficiency forming are identified including trends in process integration,processing window design,full cycle and multi-objective optimization.This review aims to provide a guide for researchers and process designers on the manufacture of thin-walled titanium alloy components whilst achieving high dimensional accuracy and satisfying performance properties with high efficiency and low cost. 展开更多
关键词 titanium alloys complex thin-walled components high efficiency hot gas pressure forming hot stamping-quenching
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FEM simulation and experimental verification of roll forming and springback process under complex contact conditions 被引量:1
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作者 阎昱 Wu Qingyuan +1 位作者 Ai Zhengqing Jia Fanghui 《High Technology Letters》 EI CAS 2015年第4期433-438,共6页
The application of advanced high strength steel(AHSS) has an important significance in the development of the lightweight of automobile,but the parts made of AHSS usually have defects,such as fracture and large amount... The application of advanced high strength steel(AHSS) has an important significance in the development of the lightweight of automobile,but the parts made of AHSS usually have defects,such as fracture and large amount of springback,etc.In this paper,a model of multi-pass roll forming and springback process of AHSS is established with finite element software ABAQUS.Then a roll forming experiment is performed,and simulation and experimental results have been compared and analyzed.The model is established under complex contact conditions,including self-contact condition.The results shows that during the process of sheet bending,large Mises stresses appear at bending corners.The smaller the bending radius is,the larger the Mises stress and strain are.Thickness of sheet metal changes differendy if the bending radius is different.When the bending radius exceeds a certain limit,the change tendency of the sheet thickness turns from increase to decrease. 展开更多
关键词 回弹过程 接触条件 辊弯成形 有限元模拟 试验验证 弯曲半径 ABAQUS 金属板材
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Complex heterozygous mutations in hereditary spherocytosis:A case report
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作者 Miao He Yan-Cheng Lv +3 位作者 Yu-Hong Wei Lan-Qin Liu Ling Guo Cheng Li 《World Journal of Clinical Cases》 SCIE 2024年第18期3582-3588,共7页
BACKGROUND The aim of this study was to investigate the complex heterozygous mutations of ANK1 and SPTA1 in the same individual and improve our understanding of hereditary spherocytosis(HS)in children.We also hope to ... BACKGROUND The aim of this study was to investigate the complex heterozygous mutations of ANK1 and SPTA1 in the same individual and improve our understanding of hereditary spherocytosis(HS)in children.We also hope to promote the application of gene detection technology in children with HS,with the goals of identifying more related gene mutations,supporting the acquisition of improved molecular genetic information to further reveal the pathogenesis of HS in children,and providing important guidance for the diagnosis,treatment,and prevention of HS in children.CASE SUMMARY A 1-year and 5-month-old patient presented jaundice during the neonatal period,mild anemia 8 months later,splenic enlargement at 1 year and 5 months,and brittle red blood cell permeability.Genetic testing was performed on the patient,their parents,and sister.Swiss Model software was used to predict the protein structure of complex heterozygous mutations in ANK1 and SPTA1.Genetic testing revealed that the patient harbored a new mutation in the ANK1 gene from the father and a mutation in the SPTA1 gene from the mother.Combined with the clinical symptoms of the children,it is suggested that the newly discovered complex heterozygous mutations of ANK1 and SPTA1 may be the cause,providing important guidance for revealing the pathogenesis,diagnosis,treatment,and promotion of gene detection technology in children with HS.CONCLUSION This case involves an unreported complex heterozygous mutation of ANK1 and SPTA1,which provides a reference for exploring HS. 展开更多
关键词 Hereditary spherocytosis complex heterozygous mutations ANK1 SPTA1 Gene detection technology Case report
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Rock Asemblages and Forming Age of Dabie-Tongbai Complexes
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《Journal of Earth Science》 SCIE CAS CSCD 1997年第2期15-22,共8页
RockAsemblagesandFormingAgeofDabie┐TongbaiComplexes*SangLongkangFacultyofEarthSciences,ChinaUniversityofGeos... RockAsemblagesandFormingAgeofDabie┐TongbaiComplexes*SangLongkangFacultyofEarthSciences,ChinaUniversityofGeosciences,Wuhan4300... 展开更多
关键词 Age Asemblages complexES Dabie-Tongbai forming
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Research Progress on the Bismuth Containing Complex Oxide in Photocatalystic Technology
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作者 Miao Yingchun Yang Huiqiong +1 位作者 Li Fengxi Liang Yiwei 《Meteorological and Environmental Research》 CAS 2015年第5期33-37,共5页
The photocatalytic degradation on the bismuth containing complex oxide was revised in detail including the synthesis and classification of photocatalyts, and then the photocatalytic reaction, scavenger, and the mechan... The photocatalytic degradation on the bismuth containing complex oxide was revised in detail including the synthesis and classification of photocatalyts, and then the photocatalytic reaction, scavenger, and the mechanism of reaction. In particular, the perspectives of photocatalytic degradation on the bismuth containing oxide were analyzed in detail. 展开更多
关键词 Bismuth containing complex oxides Photocatalytic technology REVIEW China
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New Technology “Flotation to Form Agglomerates and Magnetic Separation” Allows Great Breakthrough for World Low-Grade Light Rare Earth Ores
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作者 HAO Ziguo FEI Hongcai +1 位作者 HAO Qingqing LIU Lian 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2015年第5期1764-1765,共2页
Rare earth resources are relatively scarce worldwide, but their global consumption is increasing year-by-year. At present, China has about 36% of the global rare earth reserves, but provides 90% of the world's supply... Rare earth resources are relatively scarce worldwide, but their global consumption is increasing year-by-year. At present, China has about 36% of the global rare earth reserves, but provides 90% of the world's supply, which has generally met world demand and promoted the development of the world economy. In order to continuously and stably supply rare earths to international markets, the Chinese Government has financially supported the Institute of Multipurpose Utilization of Mineral Resources within the China Geological Survey to study the utilization of low-grade rare earth ores. Following many years of experimental research, the project has developed a new technology entitled "Flotation to Form Agglomerates and then Magnetic Separation", which will bring a technological revolution to the world's light rare earth ore dressing. 展开更多
关键词 form Flotation to form Agglomerates and Magnetic Separation New technology Allows Great Breakthrough for World Low-Grade Light Rare Earth Ores
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Study on precision cutting technology of complex shape microparts
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作者 王贵林 张飞虎 戴一帆 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第4期528-532,共5页
Relatively to non-traditional and high-energy-beam micro-manufacturing technique, the micro-cutting technology has many merits. For instance, the machining range is bigger, the cost of equipments is much lower, and th... Relatively to non-traditional and high-energy-beam micro-manufacturing technique, the micro-cutting technology has many merits. For instance, the machining range is bigger, the cost of equipments is much lower, and the productivity and machining accuracy are higher. Therefore, the micro-cutting technology will take an important effect on the machining technique of complex shape microparts. In this paper, based on selfly-developed machine tool, the precision cutting technology of complex shape microparts made of metal material was studied by analyzing the modeling method on complex shape, the means of toolpaths layout and the optimal selection for cutting parameters. On the basis of above work, a typical duralumin specimen of high precision, low surface roughness and complex shape micropart was manufactured. This result will provide favorable technical support for farther research on the micro-cutting technology. 展开更多
关键词 机械加工 复杂形状 微型零件 成型 切割技术 精密度
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SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY 被引量:10
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作者 李光汉 吴传喜 《Acta Mathematica Scientia》 SCIE CSCD 2005年第2期223-232,共10页
A submanifold in a complex space form is called slant if it has constant Wirtinger angles. B. Y. Chen and Y. Tazawa proved that there do not exist minimal proper slant surfaces in CP2 and CH2. So it seems that the sla... A submanifold in a complex space form is called slant if it has constant Wirtinger angles. B. Y. Chen and Y. Tazawa proved that there do not exist minimal proper slant surfaces in CP2 and CH2. So it seems that the slant immersion has some interesting properties. The authors have great interest to consider slant immersions satisfying some additional conditions, such as unfull first normal bundles or Chen’s equality holding. They prove that there do not exist n-dimensional Kaehlerian slant immersions in CPn and CHn with unfull first normal bundles. Next, it is seen that every Kaehlerian slant submanifold satisfying an equality of Chen is minimal which is similar to that of Lagrangian immersions. But in contrast, it is shown that a large class of slant immersions do not exist thoroughly. Finally, they give an application of Chen’s inequality to general slant immersions in a complex projective space, which generalizes a result of Chen. 展开更多
关键词 Slant immersion IDEAL Chen's inequality complex space form
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Forming process chain for manufacturing complex conical-section profiled rings:On a co-design method
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作者 Lei LIANG Chaojiang ZOU Lianggang GUO 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第6期485-503,共19页
The final quality of complex conical-section rings depends on co-design of multiple processes in forming process chain.In this study,for a complex aeroengine casing ring with a large slope and a flange on its end,a co... The final quality of complex conical-section rings depends on co-design of multiple processes in forming process chain.In this study,for a complex aeroengine casing ring with a large slope and a flange on its end,a co-design method of the forming process chain is put forward towards the objective of precision forming,which not only proposes a standard process route composed of multiple processes of upsetting,punching,rectangular ring rolling,loose tooling forging and profiled ring rolling,but also presents co-design methods of dies and blanks for all the processes.For profiled ring rolling,a design method of preformed blank that makes the blank and the target conical-section ring have the same axial volume distribution is proposed.By the method,the axial metal redistribution during the process can be alleviated greatly thus improving the forming stability and precision of the ring.Based on the geometric features of designed preformed blank,design methods of blanks and dies for loose tolling forging,rectangular ring rolling,punching and upsetting are proposed sequentially.In view of the key roles of loose tooling forging(manufacturing the preformed blank)and profiled ring rolling on the final quality of the conical ring parts,inherited FE simulations for these two processes are performed to verify the proposed design methods and determine appropriate design parameter.It is demonstrated that the proposed design method has significant advantages in improving forming precision.Besides,a suggestive value 1.5 of the rolling ratio for profiled ring rolling(a key design parameter)is given based on comprehensive consideration of multiple indicators such as ring roundness,deformation uniformity and forming load.The corresponding industrial experiments performed illustrate that a high forming precision of the conical-section aeroengine casing ring is achieved. 展开更多
关键词 complex conical-section ring Co-design of forming process chain Profiled ringrolling Preformed blank Loose tooling forging
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RESEARCH ON HOT FORMING PROCESS OF A RETAINING RING OF HIGH-NITROGEN STEEL 被引量:4
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作者 H.Q.Chen J.S.Liu H.G.Guo 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2004年第5期767-770,共4页
Mn18Cr18N, the high-nitrogen steel, is the 2nd generation material for manufacturing the retaining ring of firepower generators. In this paper, the hot deformation behavior of the material was investigated by thermo-m... Mn18Cr18N, the high-nitrogen steel, is the 2nd generation material for manufacturing the retaining ring of firepower generators. In this paper, the hot deformation behavior of the material was investigated by thermo-mechanical modeling tests. And the flow stress curves of the steel were obtained for various combinations of the temperature and strain rate. Based on the results of the tests, the complex forming process of a retaining ring including punching, expanding and extrusion with an enclosure was put forward and simulated by means of numerical simulation method. The results indicate that the process is a novel and force-saved practical technology for manufacturing heavy retaining rings. 展开更多
关键词 Mn18Cr18N high-nitrogen steel a retaining ring the punching with an enclosure process expanding-extrusion complex forming
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Numerical simulation on the process of multi-point forming for tube 被引量:2
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作者 刘启骞 付文智 +1 位作者 李明哲 陈志红 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第6期858-862,共5页
To apply the multi-point forming technology to the field of tube processing,the process of multi-point forming for tube is studied.Numerical simulation for the process of multi-point forming for tube is achieved by us... To apply the multi-point forming technology to the field of tube processing,the process of multi-point forming for tube is studied.Numerical simulation for the process of multi-point forming for tube is achieved by using elastic-plastic FEM in ABAQUS.During simulation,reasonable coefficient of mass scaling and friction model of penalty function are used.The influence of several major technological parameters on the process is analyzed.When the tube diameter is 60 mm and the forming curvature radius is 1000 mm,the distortion rate of cross-section and the absolute forming error gradually decrease with the increasing of tube wall thickness;However,when the tube wall thickness is constant,the smaller the curvature radius,the larger the distortion rate of cross-section,but as to forming part,its absolute forming error becomes smaller. 展开更多
关键词 tube-bending multi-point forming numerical simulation technological parameter
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KOPPELMAN-LERAY FORMULA ON COMPLEX MANIFOLDS 被引量:1
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作者 钟同德 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期90-94,共5页
The Koppelman-Leray formula on complex manifolds is obtained, and under suitable condition the continuous solution of partial derivative-equation on complex manifolds is obtained.
关键词 complex MANIFOLDS CHERN form KOPPELMAN-LERAY formULA PARTIAL-DERIVATIVE-EQUATION
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Compact intense electron-beam accelerators based on high energy density liquid pulse forming lines 被引量:2
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作者 Jianhua Yang Zicheng Zhang +8 位作者 Hanwu Yang Jun Zhang Jinliang Liu Yi Yin Tao Xun Xinbing Cheng Yuwei Fan Zhenxing Jin Jinchuan Ju 《Matter and Radiation at Extremes》 SCIE EI CAS 2018年第6期278-292,共15页
This paper provides a review of the compact intense electron-beam accelerators (IEBAs) based on liquid pulse forming lines (PFLs) that havebeen developed at the National University of Defense Technology (NUDT) in Chin... This paper provides a review of the compact intense electron-beam accelerators (IEBAs) based on liquid pulse forming lines (PFLs) that havebeen developed at the National University of Defense Technology (NUDT) in China. The history and roadmap of the compact IEBAs used todrive high-power microwave (HPM) devices at NUDT are reviewed. The properties of both de-ionized water and glycerin as energy storagemedia are presented. Research into the breakdown properties of liquid dielectrics and the desire to maximize energy storage have resulted in theinvention of several coaxial PFLs with different electromagnetic structures, which are detailed in this paper. These high energy density liquidPFLs have been used to increase the performance of IEBA subsystems, based on which the SPARK (Single Pulse Accelerator with spark gaps)and HEART (High Energy-density Accelerator with Repetitive Transformer) series of IEBAs were constructed. This paper also discusses howthese compact IEBAs have been used to drive typical HPM devices and concludes by summarizing the associated achievements and theconclusions that can be drawn from the results. 展开更多
关键词 High-power microwave(HPM) Intense electron-beam accelerator(IEBA) Pulsed power technology(PPT) Pulse forming line(PFL) Fluid of high energy density De-ionized water GLYCERIN
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Residues of Logarithmic Differential Forms in Complex Analysis and Geometry
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作者 A.G.Aleksandrov 《Analysis in Theory and Applications》 2014年第1期34-50,共17页
In the article, we discuss basic concepts of the residue theory of logarithmic and multi-logarithmic differential forms, and describe some aspects of the theory, de-veloped by the author in the past few years. In part... In the article, we discuss basic concepts of the residue theory of logarithmic and multi-logarithmic differential forms, and describe some aspects of the theory, de-veloped by the author in the past few years. In particular, we introduce the notion of logarithmic differential forms with the use of the classical de Rham lemma and give an explicit description of regular meromorphic differential forms in terms of residues of logarithmic or multi-logarithmic differential forms with respect to hypersurfaces, com-plete intersections or pure-dimensional Cohen-Macaulay spaces. Among other things, several useful applications are considered, which are related with the theory of holo-nomic D-modules, the theory of Hodge structures, the theory of residual currents and others. 展开更多
关键词 Logarithmic differential forms de Rham complex regular meromorphic forms holo-nomic D-modules Poincare lemma mixed Hodge structure residual currents.
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COMPLEX INNER PRODUCT AVERAGING METHOD FOR CALCULATING NORMAL FORM OF ODE
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作者 CHEN Yu-shu(陈予恕) +1 位作者 SUN Hong-jun(孙洪军) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第12期1368-1374,共7页
This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize co... This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non-autonomous systems. At last, an example is resolved to verify the method. 展开更多
关键词 nonlinear dynamic system normal form complex inner product averaging method
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