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Multimodal process monitoring based on transition-constrained Gaussian mixture model 被引量:4
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作者 Shutian Chen Qingchao Jiang Xuefeng Yan 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2020年第12期3070-3078,共9页
Reliable process monitoring is important for ensuring process safety and product quality.A production process is generally characterized bymultiple operation modes,and monitoring thesemultimodal processes is challengi... Reliable process monitoring is important for ensuring process safety and product quality.A production process is generally characterized bymultiple operation modes,and monitoring thesemultimodal processes is challenging.Most multimodal monitoring methods rely on the assumption that the modes are independent of each other,which may not be appropriate for practical application.This study proposes a transition-constrained Gaussian mixture model method for efficient multimodal process monitoring.This technique can reduce falsely and frequently occurring mode transitions by considering the time series information in the mode identification of historical and online data.This process enables the identified modes to reflect the stability of actual working conditions,improve mode identification accuracy,and enhance monitoring reliability in cases of mode overlap.Case studies on a numerical simulation example and simulation of the penicillin fermentation process are provided to verify the effectiveness of the proposed approach inmultimodal process monitoring with mode overlap. 展开更多
关键词 Multimodal process monitoring Gaussian mixture model State transition matrix process control process systems Systems engineering
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Solidification process and microstructure of transition layer of Cu-Al composite cast prepared by method of pouring molten aluminum 被引量:6
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作者 Shu-ying CHEN Guo-wei CHANG +1 位作者 Xu-dong YUE Qing-chun LI 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第8期2247-2256,共10页
The Cu?Al composite casts were prepared by the method of pouring molten aluminum. The solidification process and themicrostructure of the transition layer were investigated during the recombination process of the liqu... The Cu?Al composite casts were prepared by the method of pouring molten aluminum. The solidification process and themicrostructure of the transition layer were investigated during the recombination process of the liquid Al and the solid Cu. The results reveal that the microstructure of the transition layer in the Cu?Al composite cast consists of α(Al)+α(Al)?CuAl2 eutectic,α(Al)?CuAl2 eutectic, CuAl2+α(Al)?CuAl2 eutectic and Cu9Al4. Additionally, the pouring temperature, cooling mode of the Cu platesurface and start time of the forced cooling after pouring have no effect on the microstructure species. But the proportion of thevarious microstructures in the transition layer changes with the process parameters. The pure Al at the top of the transition layer startsto solidify first and then the α(Al) phase grows in a dendritic way, while the CuAl2 phase exhibits plane or cellular crystal growth from the two sides of the transition layer towards its interior. The stronger the cooling intensity of the Cu plate outer surface, the more developed the dendrite, and the easier it is for the CuAl2 phase to grow into a plane crystal. 展开更多
关键词 copper cladding aluminum pouring aluminum method transition layer solidification process solidification microstructure
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Phase Transition Analysis Based Quality Prediction for Multi-phase Batch Processes 被引量:3
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作者 赵露平 赵春晖 高福荣 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第6期1191-1197,共7页
Batch processes are usually involved with multiple phases in the time domain and many researches on process monitoring as well as quality prediction have been done using phase information. However, few of them conside... Batch processes are usually involved with multiple phases in the time domain and many researches on process monitoring as well as quality prediction have been done using phase information. However, few of them consider phase transitions, though they exit widely in batch processes and have non-ignorable impacts on product qualities. In the present work, a phase-based partial least squares (PLS) method utilizing transition information is proposed to give both online and offline quality predictions. First, batch processes are divided into several phases using regression parameters other than prior process knowledge. Then both steady phases and transitions which have great influences on qualities are identified as critical-to-quality phases using statistical methods. Finally, based on the analysis of different characteristics of transitions and steady phases, an integrated algorithm is developed for quality prediction. The application to an injection molding process shows the effectiveness of the proposed algorithm in comparison with the traditional MPLS method and the phase-based PLS method. 展开更多
关键词 MULTI-PHASE transition partial least squares quality prediction batch process
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Robust analysis of discounted Markov decision processes with uncertain transition probabilities 被引量:3
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作者 LOU Zhen-kai HOU Fu-jun LOU Xu-ming 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2020年第4期417-436,共20页
Optimal policies in Markov decision problems may be quite sensitive with regard to transition probabilities.In practice,some transition probabilities may be uncertain.The goals of the present study are to find the rob... Optimal policies in Markov decision problems may be quite sensitive with regard to transition probabilities.In practice,some transition probabilities may be uncertain.The goals of the present study are to find the robust range for a certain optimal policy and to obtain value intervals of exact transition probabilities.Our research yields powerful contributions for Markov decision processes(MDPs)with uncertain transition probabilities.We first propose a method for estimating unknown transition probabilities based on maximum likelihood.Since the estimation may be far from accurate,and the highest expected total reward of the MDP may be sensitive to these transition probabilities,we analyze the robustness of an optimal policy and propose an approach for robust analysis.After giving the definition of a robust optimal policy with uncertain transition probabilities represented as sets of numbers,we formulate a model to obtain the optimal policy.Finally,we define the value intervals of the exact transition probabilities and construct models to determine the lower and upper bounds.Numerical examples are given to show the practicability of our methods. 展开更多
关键词 Markov decision processes uncertain transition probabilities robustness and sensitivity robust optimal policy value interval
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Improving the process forming limit considering forming defects in the transitional region in local loading forming of Ti-alloy rib-web components 被引量:4
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作者 Pengfei GAO Xiaodi LI +2 位作者 He YANG Xiaoguang FAN Zhenni LEI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第3期1270-1280,共11页
The isothermal local loading forming technology provides a feasible way to form Ti-alloy large-scale rib-web components in aerospace and aviation fields.However,the local loading process forming limit is restricted by... The isothermal local loading forming technology provides a feasible way to form Ti-alloy large-scale rib-web components in aerospace and aviation fields.However,the local loading process forming limit is restricted by forming defects in the transitional region.In this work,the feasibility of controlling forming defects and improving the process forming limit by adjusting die parameters is explored through finite element(FE) simulation.It is found that the common cavum and folding defects in the transitional region are significantly influenced by the fillet radii of left rib and middle rib,respectively.The cavum and folding defects can be effectively controlled by increasing the fillet radii of left rib and middle rib,respectively.The process forming limits considering forming defects in the transitional region are determined by the stepwise searching method under various die parameters.Moreover,the relationship between the process forming limit and die parameters is developed through the response surface methodology(RSM).The developed RSM models suggest that increasing the fillet radii of left and middle ribs is effective to improve the process forming limit during local loading forming of rib-web components.The results will provide technical basis for the design of die parameters and the reduction amount,which is of great importance to control forming defects and improve the process forming limit in local loading forming of Ti-alloy large-scale rib-web components. 展开更多
关键词 Defect Large-scale rib-web component Local loading forming process forming limit transitional region
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Multistate transition and coupled solid-liquid modeling of motion process of long-runout landslide 被引量:1
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作者 Yang Gao Yueping Yin +3 位作者 Bin Li Han Zhang Weile Wu Haoyuan Gao 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第7期2694-2714,共21页
The recognition,repetition and prediction of the post-failure motion process of long-runout landslides are key scientific problems in the prevention and mitigation of geological disasters.In this study,a new numerical... The recognition,repetition and prediction of the post-failure motion process of long-runout landslides are key scientific problems in the prevention and mitigation of geological disasters.In this study,a new numerical method involving LPF3D based on a multialgorithm and multiconstitutive model was proposed to simulate long-runout landslides with high precision and efficiency.The following results were obtained:(a)The motion process of landslides showed a steric effect with mobility,including gradual disintegration and spreading.The sliding mass can be divided into three states(dense,dilute and ultradilute)in the motion process,which can be solved by three dynamic regimes(friction,collision,and inertial);(b)Coupling simulation between the solid grain and liquid phases was achieved,focusing on drag force influences;(c)Different algorithms and constitutive models were employed in phase-state simulations.The volume fraction is an important indicator to distinguish different state types and solid‒liquid ratios.The flume experimental results were favorably validated against long-runout landslide case data;and(d)In this method,matched dynamic numerical modeling was developed to better capture the realistic motion process of long-runout landslides,and the advantages of continuum media and discrete media were combined to improve the computational accuracy and efficiency.This new method can reflect the realistic physical and mechanical processes in long-runout landslide motion and provide a suitable method for risk assessment and pre-failure prediction. 展开更多
关键词 Long-runout landslide Multistate transition Mixed solid‒liquid flow Post-failure process Numerical simulation
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Promoting Form Ⅱ-Form Ⅰ Phase Transition of Polybutene-1 by Constantly Alternative Annealing
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作者 Tang-Guo Liu Xiang-Yang Li +3 位作者 Shui-Sheng Lu Yong-Xing Lin Lin Chen Xing-You Tian 《Chinese Journal of Polymer Science》 2025年第8期1395-1405,共11页
The slow phase transition from formⅡto formⅠhas always been an important factor that restricts the processing and application of polybutene-1(PB-1).After extensive efforts,a set of effective methods for promoting th... The slow phase transition from formⅡto formⅠhas always been an important factor that restricts the processing and application of polybutene-1(PB-1).After extensive efforts,a set of effective methods for promoting the phase transition rate in PB-1 was established by adjusting the crystallization,nucleation,and growth temperatures.Nevertheless,low-molecular-weight PB-1(LMWPB-1)faces challenges because this method requires a low crystallization temperature,which is difficult to achieve during extrusion processing.In this study,we attempted to increase the phase transition rate in PB-1 by changing the annealing temperature after processing rather than the crystallization temperature in the classical scheme.The results indicated that regardless of low-or high-molecular-weight PB-1,repeated annealing between 0 and 90℃could also promote formⅡto formⅠphase transition.The initial content of formⅠincreased with the heating and cooling cycles.The half-time of the phase transition(t_(1/2))was also shortened after heating/cooling.After 100 heating/cooling cycles,t_(1/2) was reduced to one-quarter of that without annealing,which had almost the same effect as the crystallization temperature at 25℃in promoting the phase transition.This study indicates that annealing after processing is also an important factor affecting the phase transition of PB-1,and should receive sufficient attention. 展开更多
关键词 POLYBUTENE-1 Phase transition Alternative annealing Extrusion processing
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A Study on Law of Change of Real Contact Area of Friction during Transition Process
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作者 金长善 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1996年第1期7-10,共4页
Mechanism of frictional vibration and the difference of kinctic-static friction is an open question. Research shows that the change of real area of contact during transition process of friction results in the phenomen... Mechanism of frictional vibration and the difference of kinctic-static friction is an open question. Research shows that the change of real area of contact during transition process of friction results in the phenomena mentioned above. In substance, the F-Vr, descent and F-T ascent characters are caused by A-Vr, and A-T characters respectively. Based on ultrasonic experiment the mechanism of the phenomena is explained and the frictional formulas using the parameter-real area of contact are given in this article. 展开更多
关键词 ss: transition process FRICTION REAL area of CONTACT
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Transition Process in the Western Balkans: How Much Successful Is This Story?
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作者 Skuflic Lorena 《Intelligent Information Management》 2010年第4期243-252,共10页
The last enlargement of the European Union put Western Balkans countries into focus of integration, and thus the countries became an area where future integration is expected. Future enlargement of the European Union ... The last enlargement of the European Union put Western Balkans countries into focus of integration, and thus the countries became an area where future integration is expected. Future enlargement of the European Union depends on the success of the previous EU accession, as well as on the achieved results of the transition process in the Western Balkans, since these countries are not on the same level as the developed European countries or new member states. The region contains small countries that are at different stages on their road towards membership. Transition is a comprehensive process of economic and political reforms that creates many shocks in the economy, and when this process occurs in a politically unstable and war environment, as the case being with the Western Balkans, the results may be very unfavorable. Formal agreements improved the relations between these countries and the European Union, thereby had an influence on risk reduction and increased business transparency, resulting in a growing interest of foreign investors for the region. Despite increased investments in the region and rapid economic growth, Western Balkan countries have only 21 (Albania) and 52% (Croatia) of the average European Union Gross Domestic Product (GDP) per capita, indicating the need for faster implementation of reforms and individual involvement of countries into the process of European integration. There is a significant development gap between Western Balkan countries, so observing the region as a whole and applying a singular strategy in the sense of its economic leveling and the process of EU accession would have a negative impact on Croatia, as the most developed country of the region. 展开更多
关键词 The Western Balkans transition process transition CRISIS MACROECONOMIC INDICATORS Economic Development
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Liquid crystal droplets formation and stabilization during phase transition process
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作者 Xia Meng Jiayao Ye +5 位作者 Ao Li Xudong Zhu Zhaoyan Yang Lei Wang Bingxiang Li Yanqing Lu 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第11期106-111,共6页
The study of phase transition processes in liquid crystals(LCs)remains challenging.Most thermotropic LCs exhibit a narrow temperature range and a rapid phase transition from the isotropic(ISO)to the nematic(N)phase,wh... The study of phase transition processes in liquid crystals(LCs)remains challenging.Most thermotropic LCs exhibit a narrow temperature range and a rapid phase transition from the isotropic(ISO)to the nematic(N)phase,which make it difficult to capture and manipulate the phase transition process.In this study,we observed the evolution of small droplets during the ISO–N phase transition in ferroelectric nematic(NF)LC RM734.After doping with metal nanoparticles(NPs),the temperature range of the phase transition broadened,and the droplets formed during the phase transition remained stable,with their diameter increasing linearly with temperature.In addition,droplets doped with NPs can be well controlled by an external electric field.This discovery not only aids in understanding the fundamental mechanisms of LC phase transitions but also provides a simple alternative method for preparing droplets,which is potentially valuable for applications in optoelectronic devices and sensors. 展开更多
关键词 liquid crystal droplets phase transition process metal nanoparticles
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Phase Transition in Recovery Process of Complex Networks
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作者 肖文 杨超 +1 位作者 羊亚平 陈宇光 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第5期132-136,共5页
The dynamic characteristic of complex network failure and recovery is one of the main research topics in complex networks. Real world systems such as traffic jams and Internet recovery could be described by the comple... The dynamic characteristic of complex network failure and recovery is one of the main research topics in complex networks. Real world systems such as traffic jams and Internet recovery could be described by the complex network theory. We propose a model to study the recovery process in complex networks. Two different recovery mechanisms are considered in three kinds of networks: external recovery and internal recovery. By simulating the process of the nodes recovery in networks, it is found that the system exhibits the feature of first-order phase transition only when the external recovery is considered. Internal recovery cannot induce such a kind of transitions. As external recovery and internal recovery coexist on networks, the systems will retain the most efficient part of external recovery and internal recovery. Meanwhile, a hysteresis could be observed when increasing or decreasing the failure probability. Finally, a largest degree node protection strategy is proposed for improving the robustness of networks. 展开更多
关键词 NET Phase transition in Recovery process of Complex Networks ERN HNA SFN LNA
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Transitional Process of Ploy(N-isopropylacrylamide) in Deuterated Solution
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作者 Shao-hua Zhang Yang Chen +1 位作者 Heng Li Yu-xiang Weng 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2009年第5期447-452,I0001,共7页
The fast phase-transitional process of ploy(N-isopropylacrylamide) (PNIPAM) in deuterated solution was studied by laser induced temperature jump technique combined with time-resolved mid-infrared absorbance differ... The fast phase-transitional process of ploy(N-isopropylacrylamide) (PNIPAM) in deuterated solution was studied by laser induced temperature jump technique combined with time-resolved mid-infrared absorbance difference spectroscopy on nanosecond level. The multi-peaks of amide I'band of PNIPAM among the energy range of 1565-1700 cm^-1 was experimentally resolved to three groups (i, ii, iii) for the first time, while the distinct threestage procedure in the phase transitional process of long-chain PNIPAM was observed firstly too. Furthermore, proper assignments were also made for the three group peaks in amide I'band and the three steps in the kinetics process of long-chain PNIPAM. 展开更多
关键词 Poly(N-isopropylacrylamide) Laser induced temperature jump Kinetic Transient mid-infrared absorbance difference spectroscopy MULTISTAGE transitional process
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IN-SITU HVEM STUDY ON PHASE TRANSITION OF YBa_2Cu_3O_(7-x) SUPERCONDUCTING COMPOUND IN PROCESS OF HEATING
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作者 王瑞坤 邸秀萱 +4 位作者 王振海 贺庆 俞定安 周和平 王英 《Journal of Rare Earths》 SCIE EI CAS CSCD 1990年第2期99-103,共5页
In-situ HVEM observation on phase transition of the YBa_2Cu_3O_(7-x) superconducting compound in pro- cess of heating was carried out,and high temperature X-ray diffraction analysis in air and X-ray diffraction phase ... In-situ HVEM observation on phase transition of the YBa_2Cu_3O_(7-x) superconducting compound in pro- cess of heating was carried out,and high temperature X-ray diffraction analysis in air and X-ray diffraction phase analysis for the sample treated in vacuum condition were made.The results showed that the temperature of phase transition is related to oxygen content in the sample and in general,is 100℃ to 120℃ lower in vacu- um condition than in air.At 320℃ to 350℃ twin bands begin to disappear,and some Cu_2O are formed on the surface of the sample and transit from orthorhombic YBa_2Cu_3O_(7-x) to arthorhombic Y_2BaCuO_5 compound. This transition was completed at about 500℃.Above 900℃,this compound consists of the Y_2BaCuO_5, BaCuO_2,Y_2O_3 and some other minor compounds.No phase transition was observed during cooling the sample. 展开更多
关键词 HVEM SUPERCONDUCTING COMPOUND IN process OF HEATING IN-SITU HVEM STUDY ON PHASE transition OF YBa2Cu3O Cu
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Transition Temperature of Bi_2Sr_2CaCu_2O_(8+x) Superconducting Films Prepared from Commercial Precursors 被引量:1
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作者 Bi Yue1, Wang Sansheng1, Hao Qingbin2 1 Inertial technology Key Laboratory of Fundamental Science for National Defense, Beihang University, Beijing 100191, China 2 Northwest Institute for Nonferrous Metal Research, Xi,an 710016, China 《稀有金属材料与工程》 SCIE EI CAS CSCD 北大核心 2011年第S3期368-371,共4页
This paper have made a systematic study of the superconducting Bi-2212 phase transition temperature, which has a transition temperature (Tc) around 80-93 K, and depends on precise control of synthesis conditions, main... This paper have made a systematic study of the superconducting Bi-2212 phase transition temperature, which has a transition temperature (Tc) around 80-93 K, and depends on precise control of synthesis conditions, mainly including heat treatment parameters, oxygen partial pressure, and annealing temperature. Partial melting of the sample during preparation helps to raise its Tc. To elucidate the origin of this strong effect, the samples were heated with different melting process. The rapid changes in Tc value are associated with small changes in oxygen content, which depends on the annealing temperature and the oxygen partial pressure. We have optimized the above mentioned parameters for Bi-2212 film, and Tconset was improved to 93 K. 展开更多
关键词 BI-2212 phase PARTIAL MELT process transition temperature
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Experimental Investigation of Wake-Induced Bypass Transition Control by Surface Roughness 被引量:2
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作者 PAN Chong WANG Jin-Jun HE Guo-Sheng 《Chinese Physics Letters》 SCIE CAS CSCD 2012年第10期120-124,共5页
Surface roughness is experimentally used to control the flat-plate boundary layer bypass transition induced by an upstream convected two-dimensional(2D)circular cylinder wake.It is shown that the later stage of this b... Surface roughness is experimentally used to control the flat-plate boundary layer bypass transition induced by an upstream convected two-dimensional(2D)circular cylinder wake.It is shown that the later stage of this bypass transition is successfully postponed,at the price of accelerating the earlier transition stage.A regularisation process of the hairpin vortices,which are the dominant coherent structures to promote the transition process,are observed under the influence of roughness elements.Significant scale reduction and localisation of these hairpins are achieved,which enhances the possibility of a hairpin self-annihilation process.Therefore,the cascade to large-scale structures in the later transition stage might be impeded/weakened. 展开更多
关键词 process ROUGHNESS transition
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Variable slip window technology in transition detection on pitching airfoil 被引量:4
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作者 Binbin WEI Yongwei GAO +1 位作者 Dong LI Lei DENG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第4期1166-1180,共15页
In the pitching motion,the unsteady transition and relaminarization position plays an important role in the dynamic characteristics of the airfoil.In order to facilitate the computer to automatically and accurately ca... In the pitching motion,the unsteady transition and relaminarization position plays an important role in the dynamic characteristics of the airfoil.In order to facilitate the computer to automatically and accurately calculate the position of the transition and relaminarization,a Variable Slip Window Technology(VSWT)suitable for airfoil dynamic data processing was developed using the S809 airfoil experimental data in this paper and two calculation strategies,i.e.,global strategy and single point strategy,were proposed:global strategy and single point strategy.The core of the VSWT is the selection of the window function h and the parameters setting in the h function.The effect of the VSWT was evaluated using the dimensionless pulse strength value(INB),which can be used to evaluate the signal characteristics,of the root mean square(RMS)value of the fluctuating pressure.It is found that:the h function characteristics have a significant influence on the VSWT.The suitable functions are Hn function constructed in this paper and step function.For the left boundary of the magnified area,the step function can obtain the largest INB value,but the robustness is not good.The H1 function(Gaussian-like function,n=1)can show higher robustness while ensuring a large INB value.The two computing strategies,which are single point strategy and global strategy,have their own advantages and disadvantages.The former strategy,that is the single point strategy,can achieve a higher INB value,but the RMS magnification at the feature position needs to be known in advance.Although the INB value obtained by the latter strategy,that is the global strategy,is slightly smaller than the calculation results of the former strategy,it is not necessary to know the RMS magnification at the feature position in advance.So the global strategy has better robustness.The experimental data of NACA0012 airfoil was used to further validate the developed VSWT in this paper,and the results show that the VSWT developed in this paper can still double the INB value of the transition/relaminarization position.The VSWT developed in this paper has certain practicability,which is convenient for the computer to automatically determine the transition/relaminarization characteristics. 展开更多
关键词 Data processing Dynamic characteristics Pitching airfoil transition and relaminarization Variable slip window technology(VSWT)
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THE ANALYTICAL PROPERTIES FOR HOMOGENEOUS RANDOM TRANSITION FUNCTIONS 被引量:1
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作者 胡迪鹤 邱育峰 《Acta Mathematica Scientia》 SCIE CSCD 2007年第1期180-192,共13页
The concepts of Markov process in random environment and homogeneous random transition functions are introduced. The necessary and sufficient conditions for homogeneous random transition function are given. The main r... The concepts of Markov process in random environment and homogeneous random transition functions are introduced. The necessary and sufficient conditions for homogeneous random transition function are given. The main results in this article are the analytical properties, such as continuity, differentiability, random Kolmogorov backward equation and random Kolmogorov forward equation of homogeneous random transition functions. 展开更多
关键词 Markov process in random environment random transition function homogeneous random transition function random Kohnogorov backward equation random Kohnogorov forward equation
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Abnormal Dielectric Response in an Optical Range Based on Electronic Transition in Rare-Earth-Ion-Doped Crystals 被引量:1
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作者 FU Xiao-Jian XU Yuan-Da ZHOU Ji 《Chinese Physics Letters》 SCIE CAS CSCD 2012年第2期217-220,共4页
A new scheme to realize an abnormal dielectric response at optical wavelength is developed on the basis of twolevel electronic transition of rare-earth ion doped crystals.Based on the semi-classical theory and the Jud... A new scheme to realize an abnormal dielectric response at optical wavelength is developed on the basis of twolevel electronic transition of rare-earth ion doped crystals.Based on the semi-classical theory and the Judd-Ofelt theory,the electric dipole transition under a weak field is analyzed,and a general expression for the frequencydependent dielectric constant is obtained.As an example,the permittivity of (Erx Y1-x)3Al5O12 is calculated numerically in consideration of the transition between 4I15/2and 4F9/2.An optimized dielectric property with a negative real part and low absorption is achieved.This proposes a new mechanism for building extraordinary electromagnetic media at optical frequencies by using a quantum process. 展开更多
关键词 process DIELECTRIC transition
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Influence of Different Transition Modes on the Performances of a Hydraulic Turbine 被引量:1
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作者 Fengxia Shi Yucai Tang +2 位作者 Dedong Ma Xiangyun Shi Guangbiao Zhao 《Fluid Dynamics & Materials Processing》 EI 2023年第10期2481-2497,共17页
In order to analyze the response of a hydraulic turbine to a variation in the operating conditions,different laws of variation in time of the massflow rate have been considered.After validating the overall numerical fr... In order to analyze the response of a hydraulic turbine to a variation in the operating conditions,different laws of variation in time of the massflow rate have been considered.After validating the overall numerical framework through comparison with relevant experiments,the performances of the considered turbine have been analyzed from afluid-dynamic point of view.The results show that different time profiles of the massflow rate(in this work,for simplicity,referred to as“transition functions”)have a varying influence on the transient behavior of the turbine.When a quadratic function is considered for the case of largeflow,the transient head and torque increase gradually with time,thefluctuation amplitude of the transient hydraulic efficiency at the main frequency is the largest,and thefluctuation amplitude of the radial force is the smallest.For the smallflow case,the time profile with exponential nature leads to the best results.The transient head and torque decrease gradually with time,the pulsation amplitude of the transient hydraulic efficiency is the largest at the main frequency,and the pulsation amplitude of the radial force is the smallest. 展开更多
关键词 transition functions hydraulic turbine transition process radial resultant force
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Brownian Motion of Decaying Particles: Transition Probability, Computer Simulation, and First-Passage Times 被引量:2
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作者 M. P. Silverman 《Journal of Modern Physics》 2017年第11期1809-1849,共41页
Recent developments in the measurement of radioactive gases in passive diffusion motivate the analysis of Brownian motion of decaying particles, a subject that has received little previous attention. This paper report... Recent developments in the measurement of radioactive gases in passive diffusion motivate the analysis of Brownian motion of decaying particles, a subject that has received little previous attention. This paper reports the derivation and solution of equations comparable to the Fokker-Planck and Langevin equations for one-dimensional diffusion and decay of unstable particles. In marked contrast to the case of stable particles, the two equations are not equivalent, but provide different information regarding the same stochastic process. The differences arise because Brownian motion with particle decay is not a continuous process. The discontinuity is readily apparent in the computer-simulated trajectories of the Langevin equation that incorporate both a Wiener process for displacement fluctuations and a Bernoulli process for random decay. This paper also reports the derivation of the mean time of first passage of the decaying particle to absorbing boundaries. Here, too, particle decay can lead to an outcome markedly different from that for stable particles. In particular, the first-passage time of the decaying particle is always finite, whereas the time for a stable particle to reach a single absorbing boundary is theoretically infinite due to the heavy tail of the inverse Gaussian density. The methodology developed in this paper should prove useful in the investigation of radioactive gases, aerosols of radioactive atoms, dust particles to which adhere radioactive ions, as well as diffusing gases and liquids of unstable molecules. 展开更多
关键词 BROWNIAN Motion Random Walk Diffusion RADIOACTIVITY transition Probability FOKKER-PLANCK EQUATION LANGEVIN EQUATION First Passage Fick’s Law Wiener process
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