Four Order ESD Generator Circuit Model and its Simulation

2012 ◽  
Vol 239-240 ◽  
pp. 264-269 ◽  
Author(s):  
Jin Shan Wang ◽  
Ke Wang ◽  
Xiao Dong Wang
Keyword(s):  
Mathematical Model ◽  
Circuit Model ◽  
Model Construction ◽  
Generator Circuit ◽  
Model And Simulation ◽  
Simulation Results ◽  
Testing Standards ◽  
The Mathematical Model

Basis international electrician committee issued IEC61000-4-2 testing standards, proposed a new ESD current expression. Using Laplasse transform, established the ESD system mathematical model, according to the mathematical model, construction of passive four order ESD system circuit model and active four order ESD system circuit model, and simulation. The simulation results meet the IEC61000-4-2 standard, and verify the ESD current expression, the mathematical model and the circuit model of consistency.

Electrostatic Discharge Generator Circuit Model and its Simulation

2013 ◽  
Vol 779-780 ◽  
pp. 498-501
Author(s):  
Jin Shan Wang
Keyword(s):  
Mathematical Model ◽  
Electrostatic Discharge ◽  
Pulse Signal ◽  
Circuit Model ◽  
International Electrotechnical Commission ◽  
Generator Circuit ◽  
Characteristics Analysis ◽  
Exponential Pulse ◽  
Testing Standards ◽  
The Mathematical Model

According to the international electrotechnical commission issued IEC61000-4-2 testing standards, through the electrostatic discharge current waveform characteristics analysis and numerical experiment method, using exponential pulse signal and the damped sinusoidal signal to construct a new the ESD current expression. Using Laplace transform, established the ESD system mathematical model. According to the mathematical model, construct four-order circuit model of the ESD system, and the simulation is carried out. The simulation results meet the IEC61000-4-2 standard, and verify the consistency of the ESD current expression, the mathematical model and the circuit model.

Double Second-Order ESD Circuit Model and its Simulation

2013 ◽  
Vol 753-755 ◽  
pp. 2423-2428
Author(s):  
Jin Shan Wang
Keyword(s):  
Mathematical Model ◽  
Pulse Signal ◽  
Circuit Model ◽  
Second Order ◽  
International Electrotechnical Commission ◽  
Experiment Method ◽  
Characteristics Analysis ◽  
Exponential Pulse ◽  
Testing Standards ◽  
The Mathematical Model

According to the International Electrotechnical Commission issued IEC61000-4-2 testing standards, through the electrostatic discharge current waveform characteristics analysis and numerical experiment method, using exponential pulse signal and the damped sinusoidal signal to construct a new the ESD current expression. Using Laplace transform, established the ESD system mathematical model. According to the mathematical model, construct double second-order circuit model of the ESD system, and the simulation is carried out. The simulation results meet the IEC61000-4-2 standard, and verify the consistency of the ESD current expression, the mathematical model and the circuit model.

Model and Simulation for Driving System of Four-Wheel-Drive Electric Vehicle

2013 ◽  
Vol 336-338 ◽  
pp. 480-483
Author(s):  
Guo Kai Xu ◽  
Tao Zhang ◽  
Xiu Chun Zhao ◽  
Juan Wang
Keyword(s):  
Mathematical Model ◽  
Electric Vehicle ◽  
Pi Control ◽  
Driving System ◽  
Model And Simulation ◽  
Wheel Drive ◽  
Simulation Results ◽  
Four Wheel Drive ◽  
The Mathematical Model ◽  
Vehicle Movement

Model for drive system of four-wheel-drive electric vehicle was investigated. By combing the balance equation for the vehicle movement with the equation of motor mechanical properties, a mathematical model of driving system of electric vehicle was established, PI control strategy was used for the optimal control and the model was simulated by the software Matlab/Simulink. The simulation results show that the mathematical model of driving system of the electric vehicle can represent the vehicle running states accurately.

scholarly journals Dynamics of Rubber Band Stretch Ejection

2021 ◽  
Author(s):  
Xiang Li ◽  
Bohua Sun ◽  
Yi Zhang ◽  
Yuanfan Dai
Keyword(s):  
Mathematical Model ◽  
Rubber Band ◽  
Energy Storage Devices ◽  
Storage Devices ◽  
Finite Element Software ◽  
Model And Simulation ◽  
Elastic Rebound ◽  
Simulation Results ◽  
The Mathematical Model ◽  
The Relationship

Why do stretched rubber bands not hit the hand after ejection? What is the mechanism behind the rubber band ejection dynamics? These questions represent a fascinating scientific problem. Because the size of a rubber band in the circumferential direction is much larger than that in the other two directions of its cross-section, we regard the rubber band as a slender beam and establish a mathematical model of the dynamics of the rubber band stretching and ejection. Furthermore, we obtain the dependence of the dynamic curvature of the rubber band on the arc length and time. We used the finite element software ABAQUS to simulate the dynamic process of a rubber band stretching and ejection. The simulation results and dimensional analysis were performed to examine the effect of the bending elastic rebound velocity. The mathematical model and simulation results revealed that the relationship between the curvature and time at the end of the rubber band ($s =0$) was as follows: $\kappa\sim t^{-{1}/{2}}$. This research has guiding significance for the design of rubber bands as elastic energy storage devices.

scholarly journals Dynamics of Rubber Band Stretch Ejection

2021 ◽  
Author(s):  
Xiang Li ◽  
Bohua Sun ◽  
Yi Zhang ◽  
yuanfan Dai
Keyword(s):  
Mathematical Model ◽  
Rubber Band ◽  
Energy Storage Devices ◽  
Storage Devices ◽  
Finite Element Software ◽  
Model And Simulation ◽  
Elastic Rebound ◽  
Simulation Results ◽  
The Mathematical Model ◽  
The Relationship

Abstract Why do stretched rubber bands not hit the hand after ejection? What is the mechanism behind the rubber band ejection dynamics? These questions represent a fascinating scientific problem. Because the size of a rubber band in the circumferential direction is much larger than that in the other two directions of its cross section, we regard the rubber band as a slender beam and establish a mathematical model of the dynamics of the rubber band stretching and ejection. Furthermore, we obtain the dependence of the dynamic curvature of the rubber band on the arc length and time. We used the finite element software ABAQUS to simulate the dynamic process of rubber band stretching and ejection. The simulation results and dimensional analysis were performed to examine the effect of the bending elastic rebound velocity. The mathematical model and simulation results revealed that the relationship between the curvature and time at the end of the rubber band ($s =0$) was as follows: $\kappa\sim t^{-{1}/{2}}$. This research has guiding significance for the design of rubber bands as elastic energy storage devices.

Research on Dynamic Balance Method of Precision Centrifuge

2014 ◽  
Vol 945-949 ◽  
pp. 777-780
Author(s):  
Tao Liu ◽  
Yong Xu ◽  
Bo Yuan Mao
Keyword(s):  
Mathematical Model ◽  
Balance Control ◽  
Dynamic Balance ◽  
Dynamic Balancing ◽  
Structure Characteristics ◽  
Balance System ◽  
Simulation Results ◽  
Set Up ◽  
System Controller ◽  
The Mathematical Model

Firstly, according to the structure characteristics of precision centrifuge, the mathematical model of its dynamic balancing system was set up, and the dynamic balancing scheme of double test surfaces, double emendation surfaces were established. Then the dynamic balance system controller of precision centrifuge was designed. Simulation results show that the controller designed can completely meet the requirements of precision centrifuge dynamic balance control system.

The Impact Analysis of Revolute Pair Clearance to the End Pose Accuracy of Welding Robot

2015 ◽  
Vol 778 ◽  
pp. 259-263
Author(s):  
Fa Jun Zhang ◽  
Lin Zi Li ◽  
Hui Lin ◽  
Yin Lin Pu ◽  
Zhu Xin
Keyword(s):  
Mathematical Model ◽  
Impact Analysis ◽  
Joint Clearance ◽  
Welding Robot ◽  
Movement Characteristic ◽  
Movement Stability ◽  
Simulation Results ◽  
The Impact ◽  
The Mathematical Model ◽  
Welding Position

Various uncertain factors affect the movement of the welding robot, thus welding gun tend to deviate from the theory of welding position which reduces the welding accuracy, of which the revolute pair clearance have an greater effect on the movement of the welding robot. In order to study the influence of revolute pair clearance to the end pose accuracy of welding robot, the mathematical model of revolute pair clearance was established, and the software SolidWorks was used for establishing the welding robot model, making simulations of the mechanical arm with joint clearance and no joint clearance. At last, the movement characteristic of the hinge shaft is attained. The simulation results showed that the shaft velocity and displacement of mechanical arm with joint clearance has a certain degree of fluctuation, which affecting the end pose accuracy of welding robot , and reducing the movement stability and the welding accuracy of welding robot.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

Deep and Shallow Water Low-Speed Maneuvering Tests: Comparison Between Experimental and Simulation Results

2016 ◽  
Author(s):  
Felipe Ribolla Masetti ◽  
Pedro Cardozo de Mello ◽  
Guilherme F. Rosetti ◽  
Eduardo A. Tannuri
Keyword(s):  
Mathematical Model ◽  
Small Scale ◽  
Shallow Waters ◽  
Hydrodynamic Coefficients ◽  
Low Speed ◽  
Tunnel Model ◽  
Oceanographic Research ◽  
Simulation Results ◽  
The University ◽  
The Mathematical Model

This paper presents small-scale low-speed maneuvering tests with an oceanographic research vessel and the comparison with mathematical model using the real time maneuvering simulator developed by the University of São Paulo (USP). The tests are intended to verify the behavior of the vessel and the mathematical model under transient and low speed tests. The small-scale tests were conducted in deep and shallow waters, with a depth-draft ratio equal to 1.28, in order to verify the simulator ability to represent the vessel maneuverability on both depth conditions. The hydrodynamic coefficients used in the simulator model were obtained by CFD calculations and wind tunnel model tests carried out for this vessel. Standard turning circle and accelerating turn maneuvers were used to compare the experimental and numerical results. A fair agreement was achieved for shallow and deep water. Some differences were observed mainly in the initial phase of the accelerating turn test.

scholarly journals Population Behavior in the Mathematical Model of the Spread of COVID19 Type SEIRS

2021 ◽  
Vol 6 (2) ◽  
pp. 83-88
Author(s):  
Asmaidi As Med ◽  
Resky Rusnanda
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Mathematical Model ◽  
Everyday Life ◽  
Applied Mathematics ◽  
Living Things ◽  
Simulation Results ◽  
Parameter Values ◽  
The Mathematical Model ◽  
Disease Free

Mathematical modeling utilized to simplify real phenomena that occur in everyday life. Mathematical modeling is popular to modeling the case of the spread of disease in an area, the growth of living things, and social behavior in everyday life and so on. This type of research is included in the study of theoretical and applied mathematics. The research steps carried out include 1) constructing a mathematical model type SEIRS, 2) analysis on the SEIRS type mathematical model by using parameter values for conditions 1and , 3) Numerical simulation to see the behavior of the population in the model, and 4) to conclude the results of the numerical simulation of the SEIRS type mathematical model. The simulation results show that the model stabilized in disease free quilibrium for the condition  and stabilized in endemic equilibrium for the condition .

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