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Monte Carlo study of the universal area distribution of clusters in the honeycomb O(n) loop model 被引量:1
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作者 许亚东 刘清泉 邓友金 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第7期80-84,共5页
We investigate the area distribution of clusters (loops) in the honeycomb O(n) loop model by means of the worm algorithm with n = 0.5, 1, 1.5, and 2. At the critical point, the number of clusters, whose enclosed a... We investigate the area distribution of clusters (loops) in the honeycomb O(n) loop model by means of the worm algorithm with n = 0.5, 1, 1.5, and 2. At the critical point, the number of clusters, whose enclosed area is greater than A, is proportional to A-1 with a proportionality constant C. We confirm numerically that C is universal, and its value agrees well with the predictions based on the Coulomb gas method. 展开更多
关键词 worm algorithm O(n) loop model UNIVERSALITY Coulomb gas method
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Highly Accurate and Efficient Deep Learning Paradigm for Full-Atom Protein Loop Modeling with KarmaLoop
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作者 Tianyue Wang Xujun Zhang +13 位作者 Odin Zhang Guangyong Chen Peichen Pan Ercheng Wang Jike Wang Jialu Wu Donghao Zhou Langcheng Wang Ruofan Jin Shicheng Chen Chao Shen Yu Kang Chang-Yu Hsieh Tingjun Hou 《Research》 2025年第1期823-839,共17页
Protein loop modeling is a challenging yet highly nontrivial task in protein structure prediction.Despite recent progress,existing methods including knowledge-based,ab initio,hybrid,and deep learning(DL)methods fall s... Protein loop modeling is a challenging yet highly nontrivial task in protein structure prediction.Despite recent progress,existing methods including knowledge-based,ab initio,hybrid,and deep learning(DL)methods fall substantially short of either atomic accuracy or computational efficiency.To overcome these limitations,we present KarmaLoop,a novel paradigm that distinguishes itself as the first DL method centered on full-atom(encompassing both backbone and side-chain heavy atoms)protein loop modeling.Our results demonstrate that KarmaLoop considerably outperforms conventional and DL-based methods of loop modeling in terms of both accuracy and efficiency,with the average RMSDs of 1.77 and 1.95Åfor the CASP13+14 and CASP15 benchmark datasets,respectively,and manifests at least 2 orders of magnitude speedup in general compared with other methods.Consequently,our comprehensive evaluations indicate that KarmaLoop provides a state-of-the-art DL solution for protein loop modeling,with the potential to hasten the advancement of protein engineering,antibody-antigen recognition,and drug design. 展开更多
关键词 deep learning dl methods ACCURACY karmaloop deep learning protein loop modeling protein structure predictiondespite full atom modeling
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Modelling of a Two-Phase Thermosyphon Loop for Passive Air-Conditioning of a House in Hot and Dry Climate Countries 被引量:1
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作者 Abdoulaye 1 Diallo Xavier Chesneau +1 位作者 Idrissa Diaby Djanfar El-Maktoume 《Energy and Power Engineering》 2021年第6期243-260,共18页
The two-phase thermosyphon loop is an efficient solution for space cooling. This paper presents the simulation results of numerical studies on the heat transfer and thermal performance of a two-phase thermosiphon loop... The two-phase thermosyphon loop is an efficient solution for space cooling. This paper presents the simulation results of numerical studies on the heat transfer and thermal performance of a two-phase thermosiphon loop for passive air-conditioning of a house. The fluid considered in this study is methanol, which is compatible with copper and is environmentally friendly. These numerical results show that the temperature at the evaporator wall drops from 23<span style="color:#111111;font-family:Roboto, sans-serif;font-size:16px;white-space:normal;background-color:#FFFFFF;">°</span>C to 13<span style="color:#111111;font-family:Roboto, sans-serif;font-size:16px;white-space:normal;background-color:#FFFFFF;">°</span>C and increases at the condenser. The solar flux density has a strong influence on the condenser temperature. The mass flow rates and masses at the evaporator and condenser increase with temperature. The variation of evaporating and condensing temperature affects the performance of the system. For a constant evaporating and condensing temperature of 2<span style="color:#111111;font-family:Roboto, sans-serif;font-size:16px;white-space:normal;background-color:#FFFFFF;">°</span>C and 29<span style="color:#111111;font-family:Roboto, sans-serif;font-size:16px;white-space:normal;background-color:#FFFFFF;">°</span>C, the COP is 0.77 and 0.84 respectively. With these results, the use of the two-phase thermosyphon loop in air conditioning is possible to obtain a thermal comfort of the occupants acceptable by the standards but with a large exchange surface of the evaporator. 展开更多
关键词 Two-Phase Thermosiphon loop modelLING Passive Air Conditioning Thermal Performance
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A novel analytical model for hysteresis loops of exchange-coupled hard-soft magnets 被引量:4
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作者 Jing Zou Laichuan Shen +5 位作者 Lei Qiu Youhua Feng Chan Luo Xue Liang Li Zhao Guoping Zhao 《Journal of Rare Earths》 SCIE EI CAS CSCD 2019年第10期1034-1039,共6页
Hard/soft permanent magnets have attracted a lot of attention because of their rich magnetic properties and their potential for realizing giant energy products. However, energy products obtained by scientists in exper... Hard/soft permanent magnets have attracted a lot of attention because of their rich magnetic properties and their potential for realizing giant energy products. However, energy products obtained by scientists in experiments are much smaller than the theoretical values, which has been studied by various analytical and numerical methods. The famous Stoner-Wohlfarth model(S-W model) is too simple to give the hysteresis loops whereas the intensively used variational method is too complicated to reveal the underlying mechanism in a simple form. The analytical model proposed in this paper maintains a balance between simplicity and precision, where the spins in the soft layer rotate fast and coherently with the applied field while those in the hard layer response to the applied field much slower but also coherent. An exchange coupling is provided to maintain the exchange spring which drags the spins in the hard layer to follow those in the soft layer. Similar to the more sophisticated model, the calculated hysteresis loops display three typical magnetic phases, i.e., the rigid composite magnet, the exchange spring and decoupled magnet, whereas the simple SW model can only give one single phase, i.e., the rigid composite one. In addition to the hysteresis loop, the energy product and the nucleation fields have been calculated and compared with those calculated by other methods, which justifies our model.Careful comparisons show that our calculations are in good agreement with the experimental results and other theoretical results, especially for the important coercivity value and the related mechanism. 展开更多
关键词 PERMANENT MAGNETS Analytical model HYSTERESIS loopS NUCLEATION fields Rare earths
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CHARACTERIZATIONS ON THE THIXOTROPY-LOOP TESTS USING UCM MODEL WITH A RATE-TYPE KINETIC EQUATION 被引量:1
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作者 Shu-xin Huang Chuan-jing Lu 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2006年第6期609-617,共9页
The theoretical characterizations on the triangular-form thixotropy-loop tests of an LDPE melt (PE-FSB- 23D022/Q200) were conducted in the present paper by using a new thixotropy model, which is constituted by the u... The theoretical characterizations on the triangular-form thixotropy-loop tests of an LDPE melt (PE-FSB- 23D022/Q200) were conducted in the present paper by using a new thixotropy model, which is constituted by the upper convected Maxwell model and a rate-type kinetic equation. The new thixotropic Maxwell model can partially describe well three reported thixotropy-loop experiments by comparison with the previous calculations of the variant form of the thixotropy-type Huang model. It is noted that the stress deviations between the experiments and the predictions of the new thixotropic Maxwell model are much slighter than those deviations obtained by using the variant Huang model at the same condition, although both models include five parameters. The constitution of the new thixotropic Maxwell model is more reasonable than that of the variant Huang model. 展开更多
关键词 Thixotropy-loop tests Theoretical characterization Thixotropy models.
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An Integrated Multi-Echelon Model for a Sustainable Closed Loop Supply Chain Network Design 被引量:1
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作者 Muthusamy Aravendan Ramasamy Panneerselvam 《Intelligent Information Management》 2014年第6期257-279,共23页
The integration of entire supply and value chain into a closed loop network is gaining more importance in recent times in order to ensure a business to be economically and environmentally sustainable with the changing... The integration of entire supply and value chain into a closed loop network is gaining more importance in recent times in order to ensure a business to be economically and environmentally sustainable with the changing trends in business and social environments, growing environmental consciousness in the society and government legislations to protect the environment as well as the business. In this context, this paper considers a multi-echelon closed loop supply chain network design with forward and reverse logistics components. An attempt has been made to develop a mixed integer non-linear programming model for this problem with different costs so that the sum of the total cost is minimized subject to different constraints pertaining to capacities of the entities of the system, demands of first customers and second customers. A generalized model is presented and then its application is illustrated using an example problem by solving the model using LINGO14. This model forms as a tool to compare future meta-heuristics to check the closeness of their solutions with corresponding optimal solutions. 展开更多
关键词 Closed loop Forward INTEGRATED model MULTI-ECHELON MINLP Network Design RESPONSIVENESS Reverse SUSTAINABLE
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Model Reference Adaptive Control for Switched Systems with Closed-loop Reference Model Under Arbitrary Switching
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作者 Hao Yang Jing Xie Jun Zhao 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2019年第3期35-42,共8页
This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference ... This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference model and the measurable output error, adaptive laws and controllers are designed for switched systems.Each subsystem may have its individual reference model and controller, which increases the design flexibility.The introduction of the closed-loop reference model is to get a better transient performance of the whole switched systems.A numerical example is provided to verify the effectiveness of the main results. 展开更多
关键词 SWITCHED systems model REFERENCE adaptive control common LYAPUNOV function arbitrary switching the CLOSED-loop REFERENCE model
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Dynamical Study of a Constant Viscous Dark Energy Model in Classical and Loop Quantum Cosmology
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作者 Sara Benchikh Noureddine Mebarki Dalel Aberkane 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第5期144-148,共5页
Dynamical behaviors and stability properties of a flat space Friedmann-Robertson-Walker universe filled with pressureless dark matter and viscous dark energy are studied in the context of standard classical and loop q... Dynamical behaviors and stability properties of a flat space Friedmann-Robertson-Walker universe filled with pressureless dark matter and viscous dark energy are studied in the context of standard classical and loop quantum cosmology. Assuming that the dark energy has a constant bulk viscosity, it is found that the bulk viscosity effects influence only the quintessence model case leading to the existence of a viscous late time attractor solution of de- Sitter type, whereas the quantum geometry effects influence the phantom model case where the big rip singularity is removed. Moreover, our results of the Hubble parameter as a function of the redshift are in good agreement with the more recent data. 展开更多
关键词 of on in Dynamical Study of a Constant Viscous Dark Energy model in Classical and loop Quantum Cosmology is that for been FRW
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Structure optimization of gas-liquid combined loop reactor using a CFD-PBE coupled model 被引量:3
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作者 Qi Nana Zhang Kai +2 位作者 Xu Gang Yang Yongping Zhang Hu 《Petroleum Science》 SCIE CAS CSCD 2012年第3期379-388,共10页
Flow characteristics, such as flow pattern, gas holdup, and bubble size distribution, in an internal loop reactor with external liquid circulation, are simulated to investigate the influence of reactor internals by us... Flow characteristics, such as flow pattern, gas holdup, and bubble size distribution, in an internal loop reactor with external liquid circulation, are simulated to investigate the influence of reactor internals by using the computational fluid dynamics (CFD)-population balance equations (PBE) coupled model. Numerical results reveal that introducing a downcomer tube and a draft tube can help to improve the mass and heat transfer of the reactor through enhanced liquid circulation, increased gas holdup and reduced bubble diameter. The hydrodynamic behavior in the internal loop reactor with external liquid circulation can be managed effectively by adjusting the diameter and axial position of the draft tube. 展开更多
关键词 loop reactor Structure optimization HYDRODYNAMICS CFD-PBE coupled model
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Closed-Loop System Identification Approach of the Inertial Models
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作者 Irina Cojuhari 《Applied Mathematics》 2023年第2期107-120,共14页
The mathematical model that approximates the dynamics of the industrial process is essential for the efficient synthesis of control algorithms in industrial applications. The model of the process can be obtained accor... The mathematical model that approximates the dynamics of the industrial process is essential for the efficient synthesis of control algorithms in industrial applications. The model of the process can be obtained according to the identification procedures in the open-loop, or in the closed-loop. In the open-loop, the identification methods are well known and offer good process approximation, which is not valid for the closed-loop identification, when the system provides the feedback output and doesn’t permit it to be identified in the open-loop. This paper offers an approach for experimental identification in the closed-loop, which supposes the approximation of the process with inertial models, with or without time delay and astatism. The coefficients are calculated based on the values of the critical transfer coefficient and period of the underdamped response of the closed-loop system with P controller, when system achieves the limit of stability. Finally, the closed-loop identification was verified by the computer simulation and the obtained results demonstrated, that the identification procedure in the closed-loop offers good results in process of estimation of the model of the process. 展开更多
关键词 Closed-loop Identification Mathematical modelling Inertial models Time Delay Astatism
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Experimental Simulation on Chemical-looping Combustion of Cold Model(英文)
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作者 HUSEYIN Sozen 魏国强 +2 位作者 李海滨 何方 黄振 《过程工程学报》 CAS CSCD 北大核心 2014年第1期47-55,共9页
The pressure profiles, gas velocities, solid circulation rate, solids flux, residence time distribution of gas and particles in chemical-looping combustion reactors and gas leakage were studied in a cold flow model un... The pressure profiles, gas velocities, solid circulation rate, solids flux, residence time distribution of gas and particles in chemical-looping combustion reactors and gas leakage were studied in a cold flow model unit. And these parameters in both air and fuel reactors were measured in the experimental stage. The experimental results show that gas fluidization velocity in the air reactor is 1.8 m/s, gas fluidization velocity in the fuel reactor 0.5 m/s, and the bed materials inventory of the two reactors between 1.2 to 3.15 kg. The first cold flow model results show that the solid circulation rates are sufficient. The appropriate operating conditions are optimized and the summary of final changes is made the on cold model. The proposed design solutions are currently being verified in a cold flow model simulating the actual reactor(hot) system. This paper presents an overview of the research performed on a cold flow model and highlights the current status of the technology. 展开更多
关键词 CLC 二氧化碳 过程工程 热力工程
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Modeling and Analysis of Pumping Motor Drives in Hardware-in-the-Loop Environment
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作者 Valery Vodovozov Levon Gevorkov Zoja Raud 《Journal of Power and Energy Engineering》 2014年第10期19-27,共9页
In the proposed paper, the new experimental results are described obtained from the laboratory stand and the model developed by the authors. A method of acquiring characteristics of a pump motor drive using a hardware... In the proposed paper, the new experimental results are described obtained from the laboratory stand and the model developed by the authors. A method of acquiring characteristics of a pump motor drive using a hardware-in-the-loop simulation approach is explained. To explore the centrifugal pumps manufactured by ABB, their own control system is used whereas an industrial pump is replaced with the specially designed simulator. To clarify the model topology and parameters, a double-machine assembly was designed and used as universal pump prototype. A library of reference and disturbance signals used in pumping was applied as a modeling tool. In this way, the advantages of mathematical and physical simulations have been combined with optimal interaction of both approaches. 展开更多
关键词 CENTRIFUGAL PUMP ELECTRIC DRIVE modeling HARDWARE-IN-THE-loop Simulation
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Modeling of Continuous Cross-flow Microfiltration Process in an Airlift External-loop Slurry Reactor 被引量:3
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作者 Zheng Bo Tang Xiaojin +1 位作者 Zhang Zhanzhu Zong Baoning 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2019年第1期117-122,共6页
New modified combination mathematical models including the pores blocking models and the cake layer models were developed to describe the continuous cross-flow microfiltration in an airlift external loop slurry reacto... New modified combination mathematical models including the pores blocking models and the cake layer models were developed to describe the continuous cross-flow microfiltration in an airlift external loop slurry reactor. The pores blocking models were created based on the standard blocking law and the intermediate blocking law, and then the cake layer models were developed based on the hydrodynamic theory in which the calculation method of porosity of cake layer was newly corrected. The Air-Water-FCC equilibrium catalysts cold model experiment was used to verify the relevant models.Results showed that the calculated values fitted well with experimental data with a relative error of less than 10%. 展开更多
关键词 AIRLIFT external-loop SLURRY reactor CROSS-FLOW MICROFILTRATION filtration resistance mathematical model
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Modeling and Analysis of Submerged Arc Weld Power Supply Based on Double Closed-Loop Control
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作者 Baoshan Shi Kuanfang He +1 位作者 Xuejun Li Dongmin Xiao 《Journal of Software Engineering and Applications》 2010年第7期723-727,共5页
According to the soft-switching pulsed SAW (Submerged arc weld) weld power supply based on the double closed-loop constant current control mode, a small signal mathematic model of main circuit of soft-switching SAW in... According to the soft-switching pulsed SAW (Submerged arc weld) weld power supply based on the double closed-loop constant current control mode, a small signal mathematic model of main circuit of soft-switching SAW inverter was established by applying the method of three-terminal switching device modeling method, and the math-ematic model of double closed-loop phase-shift control system circuit was established by applying the method of state-space averaging method. Dynamic performance of the inverter was analyzed on base of the established math-ematic model, and the tested wave of dynamic performance was shown by experimentation. Research and experimentation show that relation between structure of the power source circuit and dynamic performance of the controlling system can be announced by the established mathematic model, which provides development of power supply and optimized design of controlling parameter with theoretical guidance. 展开更多
关键词 SAW Double loop Control SOFT-SWITCHING Inverter Mathematic model
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家庭医生签约服务驱动社区骨健康管理的模式探讨
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作者 李玲慧 魏戌 +8 位作者 秦晓宽 章轶立 徐西林 杨少锋 冯天笑 王振宇 杨克新 孙凯 朱立国 《中国全科医学》 北大核心 2026年第3期348-354,共7页
随着人口老龄化加剧,骨健康疾病(如骨质疏松症、骨关节炎、脊柱侧凸等)已成为我国重大的公共卫生问题。传统医疗模式以急性期诊疗为核心,存在重治轻防、服务碎片化及康复连续性不足等弊端,导致疾病早期筛查率低、患者依从性差、复发风... 随着人口老龄化加剧,骨健康疾病(如骨质疏松症、骨关节炎、脊柱侧凸等)已成为我国重大的公共卫生问题。传统医疗模式以急性期诊疗为核心,存在重治轻防、服务碎片化及康复连续性不足等弊端,导致疾病早期筛查率低、患者依从性差、复发风险高等问题。本研究分析了骨健康疾病的核心特征及管理瓶颈,参照国际慢性病管理模式与国内实践经验,基于家庭医生签约服务的资源整合优势,构建了“智能分层预警-多学科协作干预-医防协同保障”的骨健康全周期闭环管理模式,旨在破解骨健康管理的系统性难题,以智能化工具提高管理效能、以多学科协作优化资源配置、以政策改革强化医疗服务可持续性,为基层骨健康管理提供了系统性范式。 展开更多
关键词 骨健康管理 家庭医生签约服务 全周期闭环模式 智能分层预警 多学科协作
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Subsystem model-based close-loop grey-box identification method for hydraulic stewart platform
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作者 唐建林 董彦良 赵克定 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2011年第2期107-112,共6页
In order to solve the problem of difficult modeling and identification caused by time-variable parameters,multiple inputs and outputs and unstable open loop,a subsystem model-based close-loop grey-box identification m... In order to solve the problem of difficult modeling and identification caused by time-variable parameters,multiple inputs and outputs and unstable open loop,a subsystem model-based close-loop grey-box identification method was put forward when consider the main coupling effects of hydraulic Stewart platform.Firstly,the whole system is divided into three TITO(Two Input Two Output) subsystems according to the characteristics of the pseudo-mass matrix,hence transfer function matrix model of the subsystem can also be found.Secondly,since the Stewart platform is unstable,the close-loop transfer model of the subsystem is derived under the proportional controllers.The inverse M serial is adopted as the identification signal to get the experimental data.All parameters of the subsystem are determined in close-loop indirect identification by PEM(Prediction Error Method).Finally,a case study validates the correctness and effectiveness of the subsystem model-based close-loop grey-box identification method for hydraulic Stewart platform. 展开更多
关键词 hydraulic Stewart platform pseudo-mass matrix prediction error method close-loop indirect identification grey-box model
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Mass-Spring-Damper Model with Steady State Parameters for Predicting the Movement of Liquid Column and Temperature Oscillation in Loop Heat Pipe
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作者 Ge Zhang Di Chen +1 位作者 Yingying Hong Li Liu 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2016年第5期82-89,共8页
In order to investigate the mechanism of the temperature oscillation in loop heat pipes,this paper investigated the movement of the phase interface as the changed input power by a mass-spring-damper model.The model wa... In order to investigate the mechanism of the temperature oscillation in loop heat pipes,this paper investigated the movement of the phase interface as the changed input power by a mass-spring-damper model.The model was solved with MATLAB and was used to explain the high-frequency and low-amplitude temperature oscillation.Temperature variation with the input power from 20 W to 75 W was investigated based on a LHP prototype in a literature.The model agreed well with the experimental data in the literature.The simulation results suggested that the movement of the liquid column was caused by the fluctuation of pressure difference applied on the liquid column and the stiffness coefficients of the vapor springs increasing with the input power.According to parameter analyses,the temperature oscillation at the outlet of the condenser can be weakened by increasing the mass of the liquid column and keeping the temperature at the outlet of the condenser steady. 展开更多
关键词 loop heat pipe temperature oscillation DISPLACEMENT mass-spring-da^nper model steady state para^neters
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向量线性相关的三角网格自适应Loop细分方法 被引量:7
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作者 王艳艳 张荣国 +2 位作者 王蓉 孙博 刘焜 《工程图学学报》 CSCD 北大核心 2009年第1期91-96,共6页
根据过同一起点,且线性相关的三个向量在同一平面上的原理提出了一种新的三维表面自适应Loop细分算法,即对网格模型过同一顶点1邻域上的所有三个紧邻边组成的三个向量判断其是否线性相关来断定该顶点的1邻域是否平坦,从而进一步判断该... 根据过同一起点,且线性相关的三个向量在同一平面上的原理提出了一种新的三维表面自适应Loop细分算法,即对网格模型过同一顶点1邻域上的所有三个紧邻边组成的三个向量判断其是否线性相关来断定该顶点的1邻域是否平坦,从而进一步判断该顶点是否参与细分。但是三角网格模型上的三条边不可能都严格地在同一个平面上,当这些向量组成的行列式值趋于零时,便认为它们在同一平面上。实验表明,该方法减少了细分的数据量和处理速度。 展开更多
关键词 计算机应用 曲面造型 loop细分方法 自适应细分方法
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3D Modeling and Simulation of Fancy Fabrics in Weft Knitting 被引量:2
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作者 李英琳 杨连贺 +2 位作者 陈素英 袁静 李娜娜 《Journal of Donghua University(English Edition)》 EI CAS 2012年第4期351-358,共8页
Weft knitted fancy fabrics are widely used in knitted garment design. Due to the complexity of the structures, their modeling and simulation needs to be solved in three-dimensional (3D) CAD developments. In this paper... Weft knitted fancy fabrics are widely used in knitted garment design. Due to the complexity of the structures, their modeling and simulation needs to be solved in three-dimensional (3D) CAD developments. In this paper, 3D loop geometrical models of weft knitted fancy structures, including tuck stitch, jacquard stitch, transfer stitch and fleecy stitch, were developed based on an improved model of plain loop, and their central axes as some 3D space curves were achieved by using Non-Uniform Rational B-Splines (NURBS). The 3D visual simulation programme was written in C++ programming language using OpenGL, which was a function library of 3D graphics. Some examples of weft knitted fancy fabrics were generated and practical application of 3D simulation was discussed. 展开更多
关键词 weft knitted fabric fancy structures loop model three-dimensional (3D) simulation
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多分量loop代数及其应用 被引量:1
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作者 赵晶 龚新波 《辽宁师范大学学报(自然科学版)》 CAS 北大核心 2008年第1期34-36,共3页
利用Lie代数A1的两个子代数间的换位关系,通过线性同构映射,构造了两个相应的多分量Lie代数.根据Lie代数的分次,它们的loop代数的构造方法有多种.本文构造了其中的一类loop代数.作为第一个loop代数应用,得到了AKNS方程族的扩展可积模型... 利用Lie代数A1的两个子代数间的换位关系,通过线性同构映射,构造了两个相应的多分量Lie代数.根据Lie代数的分次,它们的loop代数的构造方法有多种.本文构造了其中的一类loop代数.作为第一个loop代数应用,得到了AKNS方程族的扩展可积模型.对于第二个loop代数的应用,我们将另文讨论.本文提供的方法可以普遍地应用. 展开更多
关键词 loop代数 可积模型 AKNS族
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