scholarly journals AGV Brake System Simulation

2019 ◽  
Vol 10 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Daniel Varecha ◽  
Robert Kohar ◽  
Frantisek Brumercik
Keyword(s):  
Mathematical Model ◽  
Input Data ◽  
Initial Conditions ◽  
Brake System ◽  
Disc Brake ◽  
Hydraulic Control ◽  
Stopping Distance ◽  
Braking Force ◽  
Braking Process ◽  
The Mathematical Model

Abstract The article is focused on braking simulation of automated guided vehicle (AGV). The brake system is used with a disc brake and with hydraulic control. In the first step, the formula necessary for braking force at the start of braking is derived. The stopping distance is 1.5 meters. Subsequently, a mathematical model of braking is created into which the formula of the necessary braking force is applied. The mathematical model represents a motion equation that is solved in the software Matlab by an approximation method. Next a simulation is created using Matlab software and the data of simulation are displayed in the graph. The transport speed of the vehicle is 1 〖m.s〗^(-1) and the weight of the vehicle is 6000 kg including load. The aim of this article is to determine the braking time of the device depending from the input data entered, which represent the initial conditions of the braking process.

Stability of Velocity-Loop-Based Hydraulic Control Loading System

2012 ◽  
Vol 619 ◽  
pp. 472-475
Author(s):  
Pan Guo Qi ◽  
Li Wei Zhao ◽  
Pei Chao Cong ◽  
Hui Wang
Keyword(s):  
Mathematical Model ◽  
Block Diagram ◽  
System Model ◽  
Flight Simulator ◽  
Stability Conditions ◽  
Hydraulic Control ◽  
Function Block ◽  
Loading System ◽  
The Stability ◽  
The Mathematical Model

A hydraulic Control Loading System (CLS) based on velocity-loop was developed and installed on our flight simulator earlier days, but the CLS cannot keep stable in some conditions. This problem is discussed in this paper. The mathematical model of velocity-loop-based CLS is firstly developed with the method of transfer function block diagram. Then, system’s stability conditions are put forward using Roth criterion based on the system model developed. At last, the experiments proves the stability

scholarly journals Weak resonances of periodical nonlinear oscillations

2017 ◽  
Vol 58 ◽  
Author(s):  
Olga Lavcel-Budko ◽  
Aleksandras Krylovas
Keyword(s):  
Mathematical Model ◽  
Asymptotic Solution ◽  
Space Variable ◽  
Nonlinear Oscillations ◽  
Initial Conditions ◽  
Perturbation Technique ◽  
The Mathematical Model

The mathematical model of nonlinear oscillations of weightless string is analyzed. Coefficients of the mathematical model and initial conditions are periodical functions of the space variable. A multiscale perturbation technique and integrating along characteristics are used to construct asymptotic solution without secular members.

Inverse Approach Using Bio-Inspired Algorithm Within Bayesian Framework for the Estimation of Heat Transfer Coefficients During Solidification of Casting

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
P. S. Vishweshwara ◽  
N. Gnanasekaran ◽  
M. Arun
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Initial Conditions ◽  
Bayesian Framework ◽  
Simultaneous Estimation ◽  
Unknown Parameters ◽  
Single Experiment ◽  
Inverse Approach ◽  
Solidification Problem ◽  
The Mathematical Model

Abstract In any parameter estimation problem, it is desirable to obtain more information in one single experiment. However, it is difficult to achieve multiple objectives in one single experiment. The work presented in this paper is the simultaneous estimation of heat transfer coefficient parameters, latent heat, and modeling error during the solidification of Al–4.5 wt %Cu alloy with the aid of Bayesian framework as an objective function that harmoniously matches the mathematical model and measurements. A 1D transient solidification problem is considered to be the mathematical model/forward model and numerically solved to obtain temperature distribution for the known boundary and initial conditions. Genetic algorithm (GA) and particle swarm optimization (PSO) are used as an inverse approach and the estimation of unknown parameters is accomplished for both pure and noisy temperature data. The use of Bayesian framework for the estimation of unknown parameters not only provides the information about the uncertainties associated with the estimates but also there is an inherent regularization term in which the inverse problem boils down to well-posed problem thereby plethora of information is extracted with less number of measurements. Finally, the results of this work open up new prospects for the solidification problem so as to obtain a feasible solution with the present approach.

Motion of a Sphere on a Plane

1994 ◽  
Author(s):  
Yong-Xian Xu ◽  
Dilip Kohli ◽  
Larry Vezina ◽  
Daniel R. Speranza
Keyword(s):  
Mathematical Model ◽  
Initial Conditions ◽  
Contact Point ◽  
Break Point ◽  
Degree Of Freedom ◽  
Geometric Center ◽  
Inertia Properties ◽  
Gyroscopic Motion ◽  
The Mathematical Model ◽  
First Time

Abstract The motion of a sphere on a plane is a five degree-of-freedom motion. It consists of two independent translations of the geometric center of the sphere and three rotations corresponding to gyroscopic motion of the sphere. The trajectory of an imbalanced sphere on the plane depends on: (1) the physical and inertia properties of the sphere, (2) the initial conditions of motion, and (3) the friction between the sphere and the plane. To predict the trajectory of the sphere, a general Eulerian mathematical model is developed which takes into account these conditions. The mathematical model is verified through experimentation. For the first time, general characteristics of the translatory and rotatory motions of the imbalanced sphere with general inertia distribution are presented. The existence of the “break point” in the trajectory is illustrated by examples. The trajectory (track) of the contact point on the surface of the sphere is also analyzed.

Experimental Investigation of Vacuum Brake System Performance in Light Commercial Vehicles

2015 ◽  
Vol 7 (1) ◽  
Author(s):  
R. Anbalagan ◽  
J. Jancirani
Keyword(s):  
Experimental Investigation ◽  
System Performance ◽  
Performance Testing ◽  
Brake System ◽  
Commercial Vehicles ◽  
Braking Performance ◽  
Stopping Distance ◽  
Braking Force

This paper presents experimental investigation of braking performance of vacuum brake system for light commercial vehicles. The vacuum brake system uses a compressor for creating vacuum and requires less driver effort compared to the conventional brake system. In this work various components of vacuum brake system are designed and fabricated and then installed in Maruti Omni vehicle for performance testing. The stopping distance, braking force and braking efficiency are analysed for vacuum brake system.

scholarly journals Correlation between Animal and Mathematical Models for Prostate Cancer Progression

2009 ◽  
Vol 10 (4) ◽  
pp. 241-252 ◽  
Author(s):  
Z. Jackiewicz ◽  
C. L. Jorcyk ◽  
M. Kolev ◽  
B. Zubik-Kowal
Keyword(s):  
Mathematical Model ◽  
Cancer Progression ◽  
Growth Rates ◽  
Numerical Solutions ◽  
Initial Conditions ◽  
Tumour Progression ◽  
Prostate Cancer Progression ◽  
The Mathematical Model

This work demonstrates that prostate tumour progressionin vivocan be analysed by using solutions of a mathematical model supplemented by initial conditions chosen according to growth rates of cell linesin vitro. The mathematical model is investigated and solved numerically. Its numerical solutions are compared with experimental data from animal models. The numerical results confirm the experimental results with the growth ratesin vivo.

Dynamic Simulation Analysis for Docking Mechanism of On-Orbit-Servicing Satellite

2014 ◽  
Vol 487 ◽  
pp. 313-318
Author(s):  
Yuan Zhang ◽  
Jian Wang ◽  
Yan Song ◽  
Li Li Sun
Keyword(s):  
Mathematical Model ◽  
Simulation Analysis ◽  
Initial Conditions ◽  
Euler Method ◽  
Simulation Software ◽  
Dynamics Simulation ◽  
Collision Dynamics ◽  
Docking Mechanism ◽  
Collision Force ◽  
The Mathematical Model

The new type of three jaw docking mechanism is designed for use in orbiting spacecraft, the mathematical model is given and its working characteristics are analyzed. By establishing the mathematical model of the interaction of the parts under the different coordinate system, it is obtained that the corresponding kinematic characteristics; contact collision dynamics model is established by using the Hertz model theory, dynamic equation is established by Newton-Euler method, and simulation analysis are carried out by using the dynamics simulation software ADAMS, through the simulation analysis of three groups with different initial conditions, the results show that it achieve reliable grasp with good performance, it provides the lock claw curve in contact collision force and movement characteristics curve. These curves provide reference to improve the performance of docking mechanism.

Research on Electro-Hydraulic Hybrid Brake System Combined with ABS

2014 ◽  
Vol 543-547 ◽  
pp. 1525-1528 ◽  
Author(s):  
Qing He Liu ◽  
Yan Chao Rong
Keyword(s):  
Force Control ◽  
Brake System ◽  
Interpolation Algorithm ◽  
Hydraulic Control ◽  
Bilinear Interpolation ◽  
Hydraulic Brake ◽  
Hydraulic Hybrid ◽  
Braking Force ◽  
Hardware Test ◽  
External Characteristics

A novel electro-hydraulic brake system configuration was designed by adding a hydraulic control module on conventional brake system with ABS, which achieves independent hydraulic braking force control for each wheel. With the purpose of improving energy recovery efficiency, a braking force distribution algorithm based on ECE regulations and motor external characteristics was proposed. Then further simulation verification was made to demonstrate its availability by using ADVISOR. Finally, a key aspect specific to independent hydraulic braking force control, a bilinear interpolation algorithm was defined and a hardware test was carried out. The results verify the feasibility and effectiveness of this algorithm.

scholarly journals Mathematical Model of Hydrological Processes METQ98 and its Applications

1999 ◽  
Vol 30 (2) ◽  
pp. 109-128 ◽  
Author(s):  
A. Ziverts ◽  
I. Jauja
Keyword(s):  
Mathematical Model ◽  
River Basin ◽  
Input Data ◽  
Meteorological Data ◽  
Vapour Pressure Deficit ◽  
Model Parameters ◽  
Hydrological Response ◽  
Runoff Simulation ◽  
Mean Values ◽  
The Mathematical Model

The mathematical model METQ98 for runoff simulation is described. The METQ98 is developed from the model METUL (Krams and Ziverts 1993). Input data for the model are daily mean values of air temperature, precipitation and vapour pressure deficit. The spatial variability of surface processes is represented by dividing the river basin into hydrological response units (HRUs) depending on the land cover. The analysis of the model parameters is based on hydrological and meteorological data of the Vienziemite Brook basin. Also the influence of drainage on the model parameters is analysed. The results of application of the model to the Daugava River basin are presented.

scholarly journals A study of a quasilinear model of the particles of a suspension that are aggregated and settled in an inhomogeneous field

2020 ◽  
Keyword(s):  
Mathematical Model ◽  
Initial Conditions ◽  
Lower Boundary ◽  
Complex Model ◽  
Discontinuity Surface ◽  
Inhomogeneous Field ◽  
Compact Zone ◽  
Quasilinear Systems ◽  
Cartesian Coordinate ◽  
The Mathematical Model

The mathematical model of the sedimentation process of suspension particles is usually a quasilinear hyperbolic system of partial differential equations, supplemented by initial and boundary conditions. In this work, we study a complex model that takes into account the aggregation of particles and the inhomogeneity of the field of external mass forces. The case of homogeneous initial conditions is considered, when all the parameters of the arising motion depend on only one spatial Cartesian coordinate x and on time t. In contrast to the known formulations for quasilinear systems of equations (for example, as in gas dynamics), the solutions of which contain discontinuities, in the studied formulation the basic system of equations occurs only on one side of the discontinuity line in the plane of variables (t; x). On the opposite side of the discontinuity surface, the equations have a different form in general. We will restrict ourselves to considering the case when there is no motion in a compact zone occupied by settled particles, i.e. all velocities are equal to zero and the volumetric contents of all phases do not change over time. The problem of erythrocyte sedimentation in the field of centrifugal forces in a centrifuge, with its uniform rotation with angular velocity ω = const is considered. We have studied the conditions for the existence of various types of solutions. One of the main problems is the evolution (stability) problem of the emerging discontinuities. The solution of this problem is related to the analysis of the relationships for the characteristic velocities and the velocity of the discontinuity surface. The answer depends on the number of characteristics that come to the jump, and the number of additional conditions set on the interface. The discontinuity at the lower boundary of the area occupied by pure plasma is always stable. But for the surface separating the zones of settled and of moving particles, the condition of evolution may be violated. In this case, it is necessary to adjust the original mathematical model.

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