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DYNAMIC MODEL OF CROP GROWTH SYSTEM AND NUMERICAL SIMULATION OF CROP GROWTH PROCESS UNDER THE MULTI-ENVIRONMENT EXTERNAL FORCE ACTION
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作者 李自珍 王万雄 徐彩琳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第6期727-737,共11页
According to the biomechanic theory and method, the dynamic mechanism of crop growth under the external force action of multi_environment factors (light, temperature,soil and nutrients etc.) was comprehensively explor... According to the biomechanic theory and method, the dynamic mechanism of crop growth under the external force action of multi_environment factors (light, temperature,soil and nutrients etc.) was comprehensively explored.Continuous_time Markov(CTM) approach was adopted to build the dynamic model of the crop growth system and the simulated numerical method. The growth rate responses to the variation of the external force and the change of biomass saturation value were studied. The crop grew in the semiarid area was taken as an example to carry out the numerical simulation analysis, therefore the results provide the quantity basis for the field management. Comparing the dynamic model with the other plant growth model, the superiority of the former is that it displays multi_dimension of resource utilization by means of combining macroscopic with microcosmic and reveals the process of resource transition. The simulation method of crop growth system is advanced and manipulated. A real simulation result is well identical with field observational results. 展开更多
关键词 external force of environment crop growth dynamic model numerical simulation
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An Integrated Dynamic Model of Ocean Mining System and Fast Simulation of Its Longitudinal Reciprocating Motion 被引量:3
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作者 戴瑜 刘少军 《China Ocean Engineering》 SCIE EI CSCD 2013年第2期231-244,共14页
An integrated dynamic model of China's deep ocean mining system is developed and the fast simulation analysis of its longitudinal reciprocating motion operation processes is achieved. The seafloor tracked miner is bu... An integrated dynamic model of China's deep ocean mining system is developed and the fast simulation analysis of its longitudinal reciprocating motion operation processes is achieved. The seafloor tracked miner is built as a three-dimensional single-body model with six-degree-of-freedom. The track-terrain interaction is modeled by partitioning the track-terrain interface into a certain number of mesh elements with three mutually perpendicular forces, including the normal force, the longitudinal shear force and the lateral shear force, acting on the center point of each mesh element. The hydrodynamic force of the miner is considered and applied. By considering the operational safety and collection efficiency, two new mining paths for the miner on the seafloor are proposed, which can be simulated with the established single-body dynamic model of the miner. The pipeline subsystem is built as a three-dimensional multi-body discrete element model, which is divided into rigid elements linked by flexible connectors. The flexible connector without mass is represented by six spring-damper elements. The external hydrodynamic forces of the ocean current from the longitudinal and lateral directions are both considered and modeled based on the Morison formula and applied to the mass center of each corresponding discrete rigid element. The mining ship is simplified and represented by a general kinematic point, whose heave motion induced by the ocean waves and the longitudinal and lateral towing motions are considered and applied. By integrating the single-body dynamic model of the miner and the multi-body discrete element dynamic model of the pipeline, and defining the kinematic equations of the mining ship, the integrated dynamic model of the total deep ocean mining system is formed. The longitudinal reciprocating motion operation modes of the total mining system, which combine the active straight-line and turning motions of the miner and the ship, and the passive towed motions of the pipeline, are proposed and simulated with the developed 3D dynamic model. Some critical simulation results are obtained and analyzed, such as the motion trajectories of key subsystems, the velocities of the buoyancy modules and the interaction forces between subsystems, which in a way can provide important theoretical basis and useful technical reference for the practical deep ocean mining system analysis, operation and control. 展开更多
关键词 deep ocean mining system single-body model track-terrain interaction model discrete element model longitudinal reciprocating motion operation mode dynamic simulation analysis
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DYNAMIC MODEL AND SIMULATION OF EAF STEELMAKING PROCESS 被引量:1
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作者 Q.Li X.Hong 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2003年第3期197-203,共7页
Based on mass and energy balances and theories of thermodynamics and kinetics, a dynamic model in conjunction with relative operation parameters was derived. With this model, the EAF process in later stage of scarp me... Based on mass and energy balances and theories of thermodynamics and kinetics, a dynamic model in conjunction with relative operation parameters was derived. With this model, the EAF process in later stage of scarp melting was dynamically described, including time dependent variations of bath temperature, slag quantity, compositions of steel, slag and off-gas, etc. Steelmaking process in a domestic 100 ton UHP AC EAF was chosen as a computational example, and the simulated variations of temperature of hot metal and element contents was shown consistent with the actual process measurements within average error scopes of |△T| <15K, |[△A%C]| ≤ 0.036, |[△%Si]|≤0.00027, |[△%Mn]|≤0.002, |[△%P]|≤0.00089 and |[△%S]|≤0.001 respectively at the test points. The model will be extended to predict the whole production process including scrap melting procedure and evaluate its energy and material consumption, the production efficiency, etc., which will provide assistance for the improvement of EAF operation and control. 展开更多
关键词 EAF dynamic model simulation
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DYNAMIC MODEL AND SIMULATION OF A NOVEL ELECTRO-HYDRAULIC FULLY VARIABLE VALVE SYSTEM FOR FOUR-STROKE AUTOMOTIVE ENGINES 被引量:3
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作者 WONG Pak-kin TAM Lap-mou LI Ke 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第5期80-86,共7页
在现代四击的引擎技术,可变阀门预定和电梯控制提议潜力为做一台高效的引擎受益。去四击的汽车的引擎的一列新奇电镀物品水力的充分可变的阀门火车被介绍。阀门火车系统和它的动态分析的非线性的数学模型的构造也被介绍。试验性并且模... 在现代四击的引擎技术,可变阀门预定和电梯控制提议潜力为做一台高效的引擎受益。去四击的汽车的引擎的一列新奇电镀物品水力的充分可变的阀门火车被介绍。阀门火车系统和它的动态分析的非线性的数学模型的构造也被介绍。试验性并且模拟结果证明新奇电镀物品水力的阀门火车能完成充分可变的阀门预定和电梯控制。因而,不同负担和速度上的引擎表演将显著地被增加。技术也允许消除传统在汽油引擎和增加引擎设计灵活性扼杀阀门。 展开更多
关键词 变速发动机 动力模型 模拟实验 电镀
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Recursive Lagrangian dynamic modeling and simulation of multi-link spatial flexible manipulator arms 被引量:1
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作者 章定国 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第10期1283-1294,共12页
The dynamics for multi-link spatial flexible manipulator arms consisting of n links and n rotary joints is investigated. Kinematics of both rotary-joint motion and link deformation is described by 4 - 4 homogenous tra... The dynamics for multi-link spatial flexible manipulator arms consisting of n links and n rotary joints is investigated. Kinematics of both rotary-joint motion and link deformation is described by 4 - 4 homogenous transformation matrices, and the Lagrangian equations are used to derive the governing equations of motion of the system. In the modeling the recursive strategy for kinematics is adopted to improve the computational efficiency. Both the bending and torsional flexibility of the link are taken into account. Based on the present method a general-purpose software package for dynamic simulation is developed. Dynamic simulation of a spatial flexible manipulator arm is given as an example to validate the algorithm. 展开更多
关键词 flexible manipulator arm dynamicS numerical simulation modeling
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Simulation-based Graphic Method for Dynamic System Modeling
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作者 Qinyao Liu Haiyang Zhang +1 位作者 Jia Wang Xuchen Wang 《计算机教育》 2023年第12期48-54,共7页
The first step for engineering students to understand the practical system is to describe the system,which means to establish the mathematic model for the considered system.However,traditional mathematical modeling te... The first step for engineering students to understand the practical system is to describe the system,which means to establish the mathematic model for the considered system.However,traditional mathematical modeling techniques are not readily assimilated by students,because the traditional modeling needs to obey the complicated physical laws for different engineering areas and requires a highly iterative process.In this paper,the simulation-based graphic modeling method is introduced to help students model the system and improve their performance in engineering education.The results from the questionnaire indicate that the simulation-based graphic method can help students to do the modeling of the system and improve their performance compared to the traditional ways. 展开更多
关键词 Software simulation dynamic system Mathematical modeling
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Dynamic model building and simulation for mechanical main body of lunar lander 被引量:6
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作者 王少纯 邓宗全 +1 位作者 胡明 高海波 《Journal of Central South University of Technology》 2005年第3期329-334,共6页
Focused on the dynamics problems of a lunar lander during landing process, the whole process was analysed in detail, and the linear elastic model of the moon soil was established by means of experiments-analogic metho... Focused on the dynamics problems of a lunar lander during landing process, the whole process was analysed in detail, and the linear elastic model of the moon soil was established by means of experiments-analogic method. Combining the way of elastic impact with the way of velocity replacement, the dynamics model of damping free vibration dynamics model with 3-degree of freedom(DOF) for lunar lander is obtained according to the vibration mechanics elementary theory. Based on Lagrange equations and the energy principle, the damping free vibration differential equations for the lunar lander with 3-DOF are derived and the equations are solved in simulation ways by means of ADAMS software. The conclusions obtained can be used for the design and manufacture of lunar lander. 展开更多
关键词 月球着陆器 动态模型 机械设计 ADAMS软件 DOF
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Dynamic Modeling and Simulation of a Commercial Naphtha Catalytic Reforming Process 被引量:3
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作者 胡永有 iit.edu +3 位作者 徐巍华 侯卫锋 苏宏业 褚健 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2005年第1期74-80,共7页
A first principles-based dynamic model for a continuous catalyst regeneration (CCR) platforming process, the UOP commercial naphtha catalytic reforming process, is developed in this paper. The lumping details of the n... A first principles-based dynamic model for a continuous catalyst regeneration (CCR) platforming process, the UOP commercial naphtha catalytic reforming process, is developed in this paper. The lumping details of the naphtha feed and reaction scheme of the reaction model are given. The process model is composed of the reforming reaction model with catalyst deactivation, the furnace model and the separator model, which is capable of capturing the major dynamics that occurs in this process system. Dynamic simulations are performed based on Gear numerical algorithm and method of lines (MOL), a numerical technique dealing with partial differential equations (PDEs). The results of simulation are also presented. Dynamic responses caused by disturbances in the process system can be correctly predicted through simulations. 展开更多
关键词 动力模型 模拟技术 石脑油 催化重整过程 炼油工艺
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One-dimensional Dynamic Modeling and Simulation of a Planar Direct Internal Reforming Solid Oxide Fuel Cell 被引量:2
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作者 康英伟 李俊 +3 位作者 曹广益 屠恒勇 李箭 杨杰 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2009年第2期304-317,共14页
This article aims to investigate the transient behavior of a planar direct internal reforming solid oxide fuel cell(DIR-SOFC) comprehensively.A one-dimensional dynamic model of a planar DIR-SOFC is first developed bas... This article aims to investigate the transient behavior of a planar direct internal reforming solid oxide fuel cell(DIR-SOFC) comprehensively.A one-dimensional dynamic model of a planar DIR-SOFC is first developed based on mass and energy balances,and electrochemical principles.Further,a solution strategy is presented to solve the model,and the International Energy Agency(IEA) benchmark test is used to validate the model.Then,through model-based simulations,the steady-state performance of a co-flow planar DIR-SOFC under specified initial operating conditions and its dynamic response to introduced operating parameter disturbances are studied.The dynamic responses of important SOFC variables,such as cell temperature,current density,and cell voltage are all investigated when the SOFC is subjected to the step-changes in various operating parameters including both the load current and the inlet fuel and air flow rates.The results indicate that the rapid dynamics of the current density and the cell voltage are mainly influenced by the gas composition,particularly the H2 molar fraction in anode gas channels,while their slow dynamics are both dominated by the SOLID(including the PEN and interconnects) temperature.As the load current increases,the SOLID temperature and the maximum SOLID temperature gradient both increase,and thereby,the cell breakdown is apt to occur because of excessive thermal stresses.Changing the inlet fuel flow rate might lead to the change in the anode gas composition and the consequent change in the current density distribution and cell voltage.The inlet air flow rate has a great impact on the cell temperature distribution along the cell,and thus,is a suitable manipulated variable to control the cell temperature. 展开更多
关键词 固体氧化物燃料电池 一维动态模型 动力学建模 平面 重整 电流密度分布 国际能源机构 电池温度
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Heterogeneous dynamic modeling and simulation of an industrial ethylene oxide reactor experiencing catalyst deactivation 被引量:1
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作者 G. Zahedi A. Lohi 《Journal of Chemistry and Chemical Engineering》 2009年第1期18-26,共9页
关键词 动态模拟器 工业数据 环氧乙烷 反应器 催化剂 动态建模 异构 一维数学模型
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Refinement of Adaptive Dynamical Simulation of Quantum Mechanical Double Slit Interference Phenomenon
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作者 Tadashi Ando Andrei Khrennikov Ichiro Yamato 《Journal of Modern Physics》 2024年第3期239-249,共11页
We applied adaptive dynamics to double slit interference phenomenon using particle model and obtained partial successful results in our previous report. The patterns qualitatively corresponded well with experiments. S... We applied adaptive dynamics to double slit interference phenomenon using particle model and obtained partial successful results in our previous report. The patterns qualitatively corresponded well with experiments. Several properties such as concave single slit pattern and large influence of slight displacement of the emission position were different from the experimental results. In this study we tried other slit conditions and obtained consistent patterns with experiments. We do not claim that the adaptive dynamics is the principle of quantum mechanics, but the present results support the probability of adaptive dynamics as the candidate of the basis of quantum mechanics. We discuss the advantages of the adaptive dynamical view for foundations of quantum mechanics. 展开更多
关键词 Double Slit Interference Adaptive dynamics Quantum Mechanics Particle model simulation
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DYNAMICS MODEL AND SIMULATION OF FLAT VALVE SYSTEM OF INTERNAL COMBUSTION WATER PUMP 被引量:39
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作者 Zhang Hongxin Zhang Tiezhu +2 位作者 Wang Yushun Zhao Hong Huo Wei 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第3期411-414,共4页
The dynamics differential equations are constructed, and the initial conditions are also given. Simulation shows the following conclusions: The water pressure in cylinder has great instantaneous pulsation and phase s... The dynamics differential equations are constructed, and the initial conditions are also given. Simulation shows the following conclusions: The water pressure in cylinder has great instantaneous pulsation and phase step when outlet valve or inlet valve opens, but is more gently in other time; The volume efficiency is influenced by the output pressure slightly, and decreases as the working rotational speed increases; When the inherent frequency of the valves is integer multiple of the working frequency, the volume efficiency of system will decrease evidently. 展开更多
关键词 Check valve simulation dynamics model Internal combustion water pump(ICWP)
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Dynamic Factor Method of Computing Dynamic Mathematical Model for System Simulation
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作者 老大中 吴娟 +1 位作者 杨策 蒋滋康 《Journal of Beijing Institute of Technology》 EI CAS 2003年第2期143-148,共6页
The computational methods of a typical dynamic mathematical model that can describe the differential element and the inertial element for the system simulation are researched. The stability of numerical solutions of t... The computational methods of a typical dynamic mathematical model that can describe the differential element and the inertial element for the system simulation are researched. The stability of numerical solutions of the dynamic mathematical model is researched. By means of theoretical analysis, the error formulas, the error sign criteria and the error relationship criterion of the implicit Euler method and the trapezoidal method are given, the dynamic factor affecting the computational accuracy has been found, the formula and the methods of computing the dynamic factor are given. The computational accuracy of the dynamic mathematical model like this can be improved by use of the dynamic factor. 展开更多
关键词 system simulation dynamic mathematical model computational method dynamic factor ERROR
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SCENARIOS SIMULATION OF COUPLING SYSTEM BETWEEN URBANIZATION AND ECO-ENVIRONMENT IN JIANGSU PROVINCE BASED ON SYSTEM DYNAMICS MODEL 被引量:7
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作者 LIU Yao-bin LI Ren-dong LI Chun-hua 《Chinese Geographical Science》 SCIE CSCD 2005年第3期219-226,共8页
By means of ISM (Interpretative Structural Modeling) and SD (System Dynamics) methods, this paper made a system dynamics model of urbanization and eco-environment coupling in Jiangsu Province according to the implicat... By means of ISM (Interpretative Structural Modeling) and SD (System Dynamics) methods, this paper made a system dynamics model of urbanization and eco-environment coupling in Jiangsu Province according to the implication and PSR (Pressure State Response) framework of urbanization and eco-environment coupling. Moreover, five typical scenarios during 2000-2015 have been simulated and analyzed based on the time serial statistical data during 1990-2003 in Jiangsu, which indicates: firstly, there are significant differences between the results and the scenarios, and the five coupling models all have comparative advantages and drawbacks; secondly, in terms of the characteristics and regional development disparities of Jiangsu and the general rule of world urbanization process, this paper reveals that only when either population urbanization model or social urbanization model to be correspondingly adopted, the sustainable development among population, economy, urbanization and eco-environment can be realized. 展开更多
关键词 江苏 经济建设 生态经济学 系统动力学模型 城市化
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Interrelations Between Socio-economic Development and Environmental Quality:a Simulation Integrating System Dynamics Models with GIS 被引量:2
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作者 YU Jie BIAN Fuling +1 位作者 PETERSON Jim LI Pingxiang 《Geo-Spatial Information Science》 2005年第3期176-182,共7页
System dynamics (SD) theory has long been deployed in modeling complex non-linear interrelationships but, so far it has not been common to do the kind of modeling in support of bringing environmental sustainability po... System dynamics (SD) theory has long been deployed in modeling complex non-linear interrelationships but, so far it has not been common to do the kind of modeling in support of bringing environmental sustainability policies to practice. This is largely because the challenge of including spatial data has not yet been well met. Potential for adoption of SD and GIS methods in combination is exemplified with the results of a decision-support exercise designed for simulation and prediction of the dynamic inter-relationships between socio-economic development and environmental quality for the "Wen, Pi, Du" county in Sichuan province, southwestern China. 展开更多
关键词 GIS系统 地理信息系统 系统动力学 动力学模拟 社会经济系统
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StochSD: A Full Potential CSS Language for Dynamic and Stochastic Modelling, Simulation and Statistical Analysis
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作者 Leif Gustafsson Erik Gustafsson Magnus Gustafsson 《Open Journal of Modelling and Simulation》 2022年第2期219-253,共35页
It is vital that a well-defined conceptual model can be realized by a macro-model (e.g., a Continuous System Simulation (CSS) model) or a micro-model (e.g., an Agent-Based model or Discrete Event Simulation model) and... It is vital that a well-defined conceptual model can be realized by a macro-model (e.g., a Continuous System Simulation (CSS) model) or a micro-model (e.g., an Agent-Based model or Discrete Event Simulation model) and still produce mutually consistent results. The Full Potential CSS concept provides the rules so that the results from macro-modelling become fully consistent with those from micro-modelling. This paper focuses on the simulation language StochSD (Stochastic System Dynamics), which is an extension of classical Continuous System Simulation that implements the Full Potential CSS concept. Thus, in addition to modelling and simulating continuous flows between compartments represented by “real” numbers, it can also handle transitions of discrete entities by integer numbers, enabling combined models to be constructed in a straight-forward way. However, transition events of discrete entities (e.g., arrivals, accidents, deaths) usually happen irregularly over time, so stochasticity often plays a crucial role in their modelling. Therefore, StochSD contains powerful random functions to model uncertainties of different kinds, together with devices to collect statistics during a simulation or from multiple replications of the same stochastic model. Also, tools for sensitivity analysis, optimisation and statistical analysis are included. In particular, StochSD includes features for stochastic modelling, post-analysis of multiple simulations, and presentation of the results in statistical form. In addition to making StochSD a Full Potential CSS language, a second purpose is to provide an open-source package intended for small and middle-sized models in education, self-studies and research. To make StochSD and its philosophy easy to comprehend and use, it is based on the System Dynamics approach, where a system is described in terms of stocks and flows. StochSD is available for Windows, macOS and Linux. On the StochSD homepage, there is extensive material for a course in Modelling and Simulation in form of PowerPoint lectures and laboratory exercises. 展开更多
关键词 Stochastic simulation Combined simulation Consistent modelling OPEN-SOURCE system dynamics
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Dynamics modeling and simulation of mechanism with joint clearance 被引量:3
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作者 白争锋 田浩 赵阳 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第5期706-710,共5页
The existence of clearance in the joints of mechanisms system is inevitable.The movements of the real mechanism are deflection from the ideal mechanism due to the clearances and the motion accuracy is decreased.The ef... The existence of clearance in the joints of mechanisms system is inevitable.The movements of the real mechanism are deflection from the ideal mechanism due to the clearances and the motion accuracy is decreased.The effects of the hinge clearance on the crank and rocker mechanism system are studied.The system dynamics equation with clearance is presented.The contact dynamics model is established using the nonlinear equivalent spring-damp model and the friction effect is considered by using Coulomb friction model.Then the models are incorporated into ADAMS,and based on the model,large numbers numeric simulations are made.The regularity of contact forces in clearance are studied in detail.And the effects of clearance size,clearance friction on the mechanism dynamics characteristic are analyzed.The simulation results can predict the effects of clearance on the mechanism dynamics characteristic preferably. 展开更多
关键词 CLEARANCE contact model dynamics modeling and simulation dynamics characteristic
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Vehicle Dynamics Modeling and Simulation for ACC 被引量:3
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作者 李径亮 刘昭度 李志远 《Journal of Beijing Institute of Technology》 EI CAS 2010年第1期53-57,共5页
A 7 degree-of-freedom (DOF) 4 wheels vehicle dynamics model based on Matlab-Simulink is established,and 7 DOF vehicle dynamics equations in the form of nonlinear state-space standards are given.The characters of the... A 7 degree-of-freedom (DOF) 4 wheels vehicle dynamics model based on Matlab-Simulink is established,and 7 DOF vehicle dynamics equations in the form of nonlinear state-space standards are given.The characters of the electronic throttle and the active braking system have been analyzed.And the electronic throttle model and the active braking system model are built according to the test results respectively.Off-line simulation results indicate that the model is suitable for the vehicle adaptive cruise control system,and both of the electronic throttle and the active braking system work in a reasonable way.An adaptive cruise control (ACC) example illustrates that the model has a good performance in cruise and distance keeping. 展开更多
关键词 vehicle dynamics modelING simulation adaptive cruise control (ACC)
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Process Modeling and Dynamic Simulation for EAST Helium Refrigerator 被引量:2
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作者 陆小飞 傅鹏 +2 位作者 庄明 邱立龙 胡良兵 《Plasma Science and Technology》 SCIE EI CAS CSCD 2016年第6期693-698,共6页
In this paper,the process modeling and dynamic simulation for the EAST helium refrigerator has been completed.The cryogenic process model is described and the main components are customized in detail.The process model... In this paper,the process modeling and dynamic simulation for the EAST helium refrigerator has been completed.The cryogenic process model is described and the main components are customized in detail.The process model is controlled by the PLC simulator,and the realtime communication between the process model and the controllers is achieved by a customized interface.Validation of the process model has been confirmed based on EAST experimental data during the cool down process of 300-80 K.Simulation results indicate that this process simulator is able to reproduce dynamic behaviors of the EAST helium refrigerator very well for the operation of long pulsed plasma discharge.The cryogenic process simulator based on control architecture is available for operation optimization and control design of EAST cryogenic systems to cope with the long pulsed heat loads in the future. 展开更多
关键词 EAST cryogenic system helium refrigerator process modeling dynamic simulation
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Dynamic flight stability of hovering model insects:theory versus simulation using equations of motion coupled with Navier-Stokes equations 被引量:9
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作者 Yan-Lai Zhang Mao Sun 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第4期509-520,共12页
In the present paper, the longitudinal dynamic flight stability properties of two model insects are predicted by an approximate theory and computed by numerical sim- ulation. The theory is based on the averaged model ... In the present paper, the longitudinal dynamic flight stability properties of two model insects are predicted by an approximate theory and computed by numerical sim- ulation. The theory is based on the averaged model (which assumes that the frequency of wingbeat is sufficiently higher than that of the body motion, so that the flapping wings' degrees of freedom relative to the body can be dropped and the wings can be replaced by wingbeat-cycle-average forces and moments); the simulation solves the complete equations of motion coupled with the Navier-Stokes equations. Comparison between the theory and the simulation provides a test to the validity of the assumptions in the theory. One of the insects is a model dronefly which has relatively high wingbeat frequency (164 Hz) and the other is a model hawkmoth which has relatively low wingbeat frequency (26 Hz). The results show that the averaged model is valid for the hawkmoth as well as for the dronefly. Since the wingbeat frequency of the hawkmoth is relatively low (the characteristic times of the natural modes of motion of the body divided by wingbeat period are relatively large) compared with many other insects, that the theory based on the averaged model is valid for the hawkmoth means that it could be valid for many insects. 展开更多
关键词 Insect Hovering dynamic flight stability Averaged model Equations-of-motion Navier-Stokes simulation
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