A Dynamics Simulation for a High Speed Magnetically Levitated Guided Ground Vehicle

1979 ◽  
Vol 101 (3) ◽  
pp. 223-229 ◽  
Author(s):  
D. B. Cherchas
Keyword(s):  
Mathematical Model ◽  
High Speed ◽  
Degrees Of Freedom ◽  
Magnetic Levitation ◽  
Dynamics Simulation ◽  
Vehicle Suspension ◽  
Ground Vehicle ◽  
Aerodynamic Loading ◽  
The Mathematical Model ◽  
Electrodynamic Suspension

An analysis and digital computer program are developed to simulate vehicle and guideway dynamic response. The magnetic levitation is of the electrodynamic suspension type. The mathematical model includes effects of the following: vehicle and guideway flexible deformations, vehicle suspension and propulsion pod translation relative to the vehicle, multiple guideway spans and aerodynamic loading. The simulation is programmed in such a way that the number of sequential spans over which the vehicle travels can be increased without increasing the degrees of freedom in the simulation. Illustrative results of the simulation are presented.

scholarly journals Estimasi Posisi Magnetic Levitation Ball Menggunakan Metode Akar Kuadrat Ensemble Kalman Filter (AK-EnKF)

2017 ◽  
Vol 2 (1) ◽  
pp. 45
Author(s):  
Teguh Herlambang
Keyword(s):  
Mathematical Model ◽  
Kalman Filter ◽  
Ensemble Kalman Filter ◽  
High Speed ◽  
Magnetic Levitation ◽  
Steel Ball ◽  
Electromagnetic Power ◽  
The Mathematical Model ◽  
Air Medium

The role of Magnetic Levitation Ball in an industrial world is very important, among others, as system applied to a train moving on the rail at high speed (MAGLEV). Magnetic Levitation Ball is system consisting of a ferromagnetic solid steel ball floating over The surface of air medium when supplied with electromagnetic power which is hard to predict its position, and therefore estimations is required to estimate the position, and speed of the steel ball when the electromagnetic power is supplied to the steel ball. This paper was study on application of the modification of Ensemble Kalman Filter (EnKF) method by adding Root Square at the stage of corecction called Ensemble Kalman Filter Square Root (EnKF-SR). Implemented to the mathematical model of magnetic levitation ball and speed of ferromagentic steel ball the result of the simulation of EnKF-SR using mathematical model of magnetic levitation ball showed that the error was less than 2% by generating both 200 and 300 ensembles. The least error was observed when 200 ensemble was generated at which the position error of ball was 0.018 m, and speed of the bll was 0.016 m/s and the electric current was 0.018 A.

scholarly journals Initiating a Mathematical Model for Prediction of 6-DOF Motion of Planing Crafts in Regular Waves

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Parviz Ghadimi ◽  
Abbas Dashtimanesh ◽  
Yaser Faghfoor Maghrebi
Keyword(s):  
Mathematical Model ◽  
Time Domain ◽  
High Speed ◽  
Degrees Of Freedom ◽  
Vertical Plane ◽  
Time Domain Simulation ◽  
Regular Waves ◽  
Computer Simulation Program ◽  
The Time Domain ◽  
The Mathematical Model

Nowadays, most of the dynamic research on planing ships has been directed towards analyzing the ships motions in either 3-DOF (degrees of freedom) mode in the longitudinal vertical plane or in 3-DOF or 4-DOF mode in the lateral vertical plane. For this reason, the current authors have started a research program of describing the dynamic behavior of planing ships in a 6-DOF mathematical model. This program includes the developing of a 6-DOF computer simulation program in the time domain. This type of simulation can be used for predicting the response of these planing vessels to the environmental disturbances during high-speed sailing. In this paper, the development of the mathematical model will be presented. Furthermore, a discussion will be offered about the use of these static contributions in a time domain simulation for modeling the behavior of planing crafts in regular waves.

Longitudinal motion control for high-speed trimaran based on computational fluid dynamics and predictive control

2020 ◽  
Vol 17 (3) ◽  
pp. 172988142092528
Author(s):  
Zhilin Liu ◽  
Linhe Zheng ◽  
Guosheng Li
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Computational Fluid Dynamics ◽  
Motion Control ◽  
Predictive Control ◽  
High Speed ◽  
Attack Angle ◽  
Dynamics Simulation ◽  
Longitudinal Motion ◽  
The Mathematical Model

This article investigates a model predictive control (MPC) with disturbance observer (DOB) for a trimaran longitudinal motion control. Firstly, to design the trimaran longitudinal motion stability controller, the mathematical model of the trimaran requires to be obtained. The hydrodynamic coefficients in the mathematical model are obtained by the computational fluid dynamics simulation. Secondly, a T-foil with the fixed attack angle is selected as an antipitching appendage. It is verified that the T-foil is effective in restraining the longitudinal motion of the trimaran through numerical simulation. Lastly, to enhance the ability of the T-foil for restraining the severe longitudinal motion, a controller based on the MPC method with DOB is designed to control the attack angle. The effect of the proposed algorithm is verified by theoretical analysis and simulation.

Research on the Performance Simulation of the Transmission System of Loader with Secondary Regulating Technique

2010 ◽  
Vol 426-427 ◽  
pp. 299-302
Author(s):  
Fa Ye Zang
Keyword(s):  
Mathematical Model ◽  
Fuzzy Control ◽  
Energy Saving ◽  
High Speed ◽  
Transmission System ◽  
Performance Simulation ◽  
Constant Torque ◽  
Braking Torque ◽  
The Mathematical Model ◽  
Inertial Energy

Based on deeply analyzing the working principles and energy-saving theory of loader secondary regulating transmission system, regenerating the transmission system’s inertial energy by controlling constant torque was put forward. Considering large changes of the parameters of the transmission system and its non-linearity, a fuzzy control was adopted to control the transmission system, and the mathematical model of the system was established, then the simulations of the performance of the transmission system has been conducted. The conclusion was made that the inertial energy can be reclaimed and reused in the system by the application of the secondary regulation technology, and braking by controlling constant torque is stable, it can ensure the security of braking at high speed and also permits changing the efficiency of recovery by changing the braking torque. The system’s power has been reduced and energy saving has been achieved.

Increasing the mobility of a high-speed tracked vehicle based on a controlled skid algorithm

2020 ◽  
pp. 29-33
Author(s):  
S. V. Kondakov ◽  
O.O. Pavlovskaya ◽  
I.D. Ivanov ◽  
A.R. Ishbulatov
Keyword(s):  
Mathematical Model ◽  
Dynamic Stability ◽  
Simulation Modeling ◽  
Automatic System ◽  
High Speed ◽  
Control Algorithm ◽  
Loss Of Stability ◽  
Tracked Vehicle ◽  
Hydrostatic Transmission ◽  
The Mathematical Model

A method for controlling the curvilinear movement of a high-speed tracked vehicle in a skid without loss of stability is proposed. The mathematical model of the vehicle is refined. With the help of simulation modeling, a control algorithm is worked out when driving in a skid. The effectiveness of vehicle steering at high speed outside the skid is shown. Keywords: controlled skid, dynamic stability, steering pole displacement, hydrostatic transmission, automatic system, fuel supply. [email protected]

scholarly journals The analysis of flutter characteristics based on generalized parameters of eigen modes of vibrations

2021 ◽  
pp. 95-102
Author(s):  
K. I Barinova ◽  
A. V Dolgopolov ◽  
O. A Orlova ◽  
M. A Pronin
Keyword(s):  
Mathematical Model ◽  
High Speed ◽  
Dynamic Pressure ◽  
Mode Shapes ◽  
Scaled Model ◽  
Design Specifications ◽  
Operation Conditions ◽  
Flutter Analysis ◽  
Generalized Parameters ◽  
The Mathematical Model

Flutter numerical analysis of a dynamically scaled model (DSM) of a high aspect ratio wing was performed using experimentally obtained generalized parameters of eigen modes of vibrations. The DSM is made of polymer composite materials and is designed for aeroelastic studies in a high-speed wind tunnel. As a result of the analysis, safe operation conditions (flutter limits) of the DSM were determined. The input data to develop the flutter mathematical model are DSM modal test results, i.e. eigen frequencies, mode shapes, modal damping coefficients, and generalized masses obtained from the experiment. The known methods to determine generalized masses have experimental errors. In this work some of the most practical methods to get generalized masses are used: mechanical loading, quadrature component addition and the complex power method. Errors of the above methods were analyzed, and the most reliable methods were selected for flutter analysis. Comparison was made between the flutter analysis using generalized parameters and a pure theoretical one based on developing the mathematical model from the DSM design specifications. According to the design specifications, the mathematical model utilizes the beam-like schematization of the wing. The analysis was performed for Mach numbers from 0.2 to 0.8 and relative air densities of 0.5, 1, 1.5. Comparison of the two methods showed the difference in critical flutter dynamic pressure no more than 6%, which indicates good prospects of the flutter analysis based on generalized parameters of eigen modes.

scholarly journals Suppression of Ground Borne Vibration Induced by High-Speed Lines

2018 ◽  
Vol 152 ◽  
pp. 02001
Author(s):  
Ali Mohamed Rathiu ◽  
Mohammad Hosseini Fouladi ◽  
Satesh Narayana Namasivayam ◽  
Hasina Mamtaz
Keyword(s):  
Mathematical Model ◽  
Analytical Model ◽  
High Speed ◽  
Moving Load ◽  
Ground Vibration ◽  
Harmonic Excitation ◽  
Vibration Response ◽  
Vibration Velocity ◽  
Velocity Response ◽  
The Mathematical Model

Vibration of high-speed lines leads to annoyance of public and lowering real estate values near the railway lines. This hinders the development of railway infrastructures in urbanised areas. This paper investigates the vibration response of an isolated rail embankment system and modifies the component to better attenuate ground vibration. Mainly velocity response is used to compare the responses and the applied force is of 20 kN at excitation frequencies of 5.6 Hz and 8.3 Hz. Focus was made on ground-borne vibration and between the frequency range of 0 and 250 Hz. 3D Numerical model was made using SolidWork software and frequency response was produced using Harmonic Analysis module from ANSYS Workbench software. For analytical modelling MATLAB was used along with Simulink to verify the mathematical model. This paper also compares the vibration velocity decibels (VdB) of analytical two-degree of freedom model mathematical model with literature data. Harmonic excitation is used on the track to simulate the moving load of train. The results showed that modified analytical model gives the velocity response of 75 VdB at the maximum peak. Changes brought to the mass and spacing of the sleeper and to the thickness and the corresponding stiffness for the ballast does not result in significant vibration response. Limitations of two-degree analytical model is suspected to be the cause of this inactivity. But resonance vibration can be reduced with the aid of damping coefficient of rail pad. Statistical analysis methods t-test and ANOVA single factor test was used verify the values with 95% confidence.

Dynamic Model and Response of Robot Manipulators With Joint Irregularities

1993 ◽  
Vol 115 (1) ◽  
pp. 70-77 ◽  
Author(s):  
R. J. Chang ◽  
T. C. Jiang
Keyword(s):  
Mathematical Model ◽  
Dynamic Model ◽  
High Speed ◽  
Robotic Manipulator ◽  
Irregular Surface ◽  
Positioning Accuracy ◽  
Linearization Methods ◽  
Accuracy And Precision ◽  
Covariance Propagation ◽  
The Mathematical Model

The dynamic equation of a robotic manipulator with joint irregularities is formulated and employed for the prediction of the positioning accuracy and precision of a robotic manipulator in high-speed operation. The mathematical model is derived by incorporating a dynamic model of irregular joints in an ideal robotic equation and employing the Lagrangian formulation. The joint irregularity is modelled as an elastic sliding pair which consists of a journal with an irregular surface sliding on the surface of an elastic bearing. By employing Gaussian linearization methods, the operational accuracy and precision of the robotic manipulator are obtained from mean and covariance propagation equations of the robotic system. The operation of a single-arm robotic manipulator with joint irregularities is investigated for demonstrating the applications of the present techniques.

Engineering Constraint Management Based on an Occurrence Matrix Approach

1993 ◽  
Vol 115 (1) ◽  
pp. 103-109 ◽  
Author(s):  
R. Agrawal ◽  
G. L. Kinzel ◽  
R. Srinivasan ◽  
K. Ishii
Keyword(s):  
Mathematical Model ◽  
Degrees Of Freedom ◽  
Inequality Constraints ◽  
Design Parameters ◽  
Constraint Management ◽  
Management Concepts ◽  
Occurrence Matrix ◽  
Torsion Bar ◽  
The Mathematical Model ◽  
Management Algorithms

In many mechanical systems, the mathematical model can be characterized by m nonlinear equations in n unknowns. The m equations could be either equality constraints or active inequality constraints in a constrained optimization framework. In either case, the mathematical model consists of (n-m) degrees of freedom, and (n-m) unknowns must be specified before the system can be analyzed. In the past, designers have often fixed the set of (n-m) specification variables and computed the remaining n variables using the n equations. This paper presents constraint management algorithms that give the designer complete freedom in the choice of design specifications. An occurrence matrix is used to store relationships among design parameters and constraints, to identify dependencies among the variables, and to help prevent redundant specification. The interactive design of a torsion bar spring is used to illustrate constraint management concepts.

scholarly journals DETERMINATION OF TRANSFER FUNCTION OF MAGNETIC LEVITATION MODEL AND EXPERIMENTAL VERIFICATION OF OPTICAL SENSOR

2019 ◽  
pp. 148-154
Author(s):  
Erik Prada
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Experimental Verification ◽  
Optical Sensor ◽  
Magnetic Levitation ◽  
Positioning Systems ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
The Mathematical Model

Urgency of the research. The potential of controlling the position of levitating objects has great application in deposition and in various positioning systems. Magnetic levitation eliminates direct mechanical friction between moving parts. Target setting. The measurement shielding method used is one of the methods of determining the position of a levitating object. By combining positioning and regulating elements, we achieve a feedback control. The use of a given type of measurement has advantages in places where the use of other methods is not appropriate. Actual scientific researches and issues analysis. The problem of magnetic levitation is addressed by several research laboratories with a direct connection to practice. The problem that is currently solved within magnetic levitation is the regulation of the levitating object using various types of regulators. The research objective. Derivation of mathematical model of magnetic levitation and examination of nonlinear system followed by linearization by Taylor series. Experimental determination of characteristics and dependence between object position, voltage and current. The statement of basic materials. The position of the levitating object is determined by the shading of the optical sensor. The light source is a laser light. Conclusions. In this work we defined the mathematical model of the magnetic levitation system and subsequently derived the transfer function of the levitation system and the position sensor. From the experimental verification of the shadow method for the determination of the position of the levitating object and the consequent need for regulation, we found that the dependence of the position of the levitating object on current and voltage on the photodiode is linear in the active region.

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