MATHEMATICAL MODEL AND SIMULATION OF VEHICLE PLATOON OVERTAKING OTHER VEHICLE

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Eisuke Kita ◽  
Hiroki Sakamoto
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Road Construction ◽  
The Other ◽  
Model And Simulation ◽  
Vehicle Velocity ◽  
Vehicle Platoon ◽  
And Behavior ◽  
The Mathematical Model ◽  
Near Future

A vehicle platoon is the method of grouping vehicles into platoon and driving synchronously. The vehicles in the platoon can travel safely in very small vehicle distance with the help of the mechanical and electric systems and thus, the traffic flow can be increased without any additional road construction. In this study, the interaction behavior between the vehicle platoon of three vehicles and the other vehicle is discussed. When the platoon of three vehicles overtakes the other vehicle, the vehicles in the platoon change the lane, overtake the preceding slow-travelling vehicle and changes the lane again. The vehicle velocity is controlled according to the vehicle following model (Bierley 1963, Chandler et. al. 1958, Gazis et. al. 1961, Helly 1959). The control models of vehicle velocity and behavior are defined in the mathematical model and discussed in the experiments of the robot vehicle. The results show that the model can make the platoon overtakes the other vehicle safely. In the near future, the model should be improved in order to enhance the safety and the efficiency of the vehicle platoon.

Effect of superfused insulin on cerebral cortical glucose utilization in awake goats

1987 ◽  
Vol 253 (4) ◽  
pp. E418-E427
Author(s):  
D. A. Pelligrino ◽  
D. J. Miletich ◽  
R. F. Albrecht
Keyword(s):  
Mathematical Model ◽  
Cerebrospinal Fluid ◽  
Metabolic Regulation ◽  
Glucose Utilization ◽  
The Other ◽  
Insulin Administration ◽  
Cortical Tissue ◽  
Control Tissue ◽  
The Mathematical Model ◽  
Test Control

The effect on cortical cerebral glucose utilization (CMRglu) of intracerebral insulin administration in awake goats was studied. The insulin was superfused in a mock cerebrospinal fluid (CSF) solution employing chronically implanted cranial windows. Two windows were implanted bilaterally: one window over an equivalent portion of each parietal cortex. With one window used to deliver insulin/CSF and the other used to simultaneously deliver CSF alone (control), changes in CMRglu were assessed using a modification of a sequential 2-[3H]- then 2-[14C]deoxy-D-glucose (2DG) technique originally described by Altenau and Agranoff (Brain Res. 153: 375-381, 1978). Initial experiments employing 125I-insulin demonstrated that the superfusion procedure increased insulin levels only in the outer 1 mm of cortical tissue exposed to insulin containing perfusate. Additional preliminary evaluations, using conditions known to alter CMRglu, generally established that present methods were adequate to induce and detect CMRglu changes. However, it was also shown experimentally and using a mathematical model that 2-[3H]DG test/control tissue ratios could be influenced by subsequent changes in CMRglu and the dephosphorylation rate. Thus 3H ratios could not be used to establish preexperimental test/control CMRglu relationships as the originally devised model assumed but could be employed to indicate changes in dephosphorylation. The mathematical model allowed for improved estimates of CMRglu changes from 2-[14C]DG/2-[3H]DG test over control tissue ratios. Even with these corrections, insulin was estimated to cause no more than an 8-15% increase in cortical CMRglu. A very limited role for insulin, at least in cerebral cortical metabolic regulation, is thus indicated.

The Control and Model of Synchronous Generator on Ship

2012 ◽  
Vol 195-196 ◽  
pp. 1095-1101
Author(s):  
Le Luo ◽  
Lan Gao ◽  
Liang Chen ◽  
Liang Hu
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Simulation Model ◽  
Synchronous Generator ◽  
Excitation Control ◽  
Synchronous Generators ◽  
Simulation Test ◽  
Power Station ◽  
Model And Simulation ◽  
The Mathematical Model

This paper analyzes the characteristics of marine power station. The mathematical model and simulation model of synchronous generators AVR+PSS excitation control system was built. At last the simulation test of suddenly add load was did in MATLAB/simulink environment. The result shows that the excitation control system has well stability, rapidity and some robustness.

Discussion of Seepage Calculation for Geomembrane Earthrock Dams

2013 ◽  
Vol 740 ◽  
pp. 530-534
Author(s):  
Yun Feng Peng ◽  
Kun Jiang
Keyword(s):  
Mathematical Model ◽  
Permeability Coefficient ◽  
The Other ◽  
Observation Data ◽  
Control Material ◽  
Feedback Analysis ◽  
Leakage Flux ◽  
Seepage Control ◽  
Sources Of Error ◽  
The Mathematical Model

As a new kind of seepage control material, the geomembrane has been widely used in earthrock dam, yet the seepage calculation of the geomembrane earthrock dam has not been studied on theory. Based on seepage mechanism in geomembrane, this thesis classifies the seepage into two types: one is permeability of geomembrane itself; the other is defect leakage flux in geomembrane. Based on feedback analysis of geomembrane earthrock dam with observation data, the permeability coefficient of geomembrane can be obtain on average, so the problem that the defects in geomembranes are difficult to ascertain is solved. At last, the sources of error in seepage calculation for geomembrane earthrock dams by method of clay equivalency were discussed. Analyzed the count error, and corrected the mathematical model.

Design and Simulation on Hydraulic Sleepless Speed Regulation System of Invariable Fertilizing Application

2014 ◽  
Vol 852 ◽  
pp. 665-670
Author(s):  
Jin Lin Wu ◽  
Li Xin Zhang ◽  
Jun Zhi Yu ◽  
Wei Bing Wang ◽  
Jia Hua Zhang
Keyword(s):  
Mathematical Model ◽  
Pid Control ◽  
Control Method ◽  
Transmission Error ◽  
System Stability ◽  
Regulation System ◽  
Speed Regulation ◽  
Model And Simulation ◽  
The Stability ◽  
The Mathematical Model

This paper proposes a hydraulic sleepless speed system for a invariable fertilizing application based on PLC, in order to enhance the stability of the hydraulic sleepless speed system and eventually achieve precise fertilizing. With particular emphasis on the stability of the hydraulic circuit and the actuation control method, mathematical model and simulation model for hydraulic sleepless speed system are established. More specifically, hydraulic sleepless speed system with stable oil circuit and oil pressure sensor is designed to ensure hydraulic system stability, while PID control algorithm is employed to compensate transmission error according to the mathematical model. The hydraulic sleepless speed system is then simulated in different PID control parameters. Simulations show that the results are reasonable and applicable, providing some theoretical guidance to the characteristics anticipation and test of hydraulic sleepless speed system. It is also found that when the PID parameter is chosen as =10, =0.08, =8, the fertilizing precision will be satisfied.

scholarly journals SUPPORT FOR VIBRATION ISOLATION OF THE TECHNOLOGICAL EQUIPMENT

2019 ◽  
Vol 15 (6) ◽  
pp. 866-876
Author(s):  
V. N. Sorokin ◽  
I. Yu. Efimov
Keyword(s):  
Mathematical Model ◽  
Elastic Element ◽  
Vibration Isolation ◽  
Negative Impact ◽  
Road Construction ◽  
Dynamic Loads ◽  
Toroidal Shell ◽  
Technological Equipment ◽  
Support Design ◽  
The Mathematical Model

Introduction. The most urgent tasks of road construction is to improve the sustainability of the roadway, on which the durability of the road surface largely depends and vibration processes are widely used. Moreover, the mechanization of production processes in  construction, the growth of power and speed of technological equipment lead to increasing in dynamic loads on its parts and assemblies. To reduce the dynamic loads in the parts and assemblies of construction machines and equipment, as well as to reduce the negative impact of vibration on the staff, it is necessary to isolate the vibration-generating units and assemblies from the base part of the machine.Materials and methods. The vibro-supports of various designs are used to isolate the vibro-active elements of machines. The authors propose the vibration support design with a quasi-zero stiffness effect, in which the rubber-cord shell of the I-09 type is used as a supporting elastic element, and also the toroid-shaped rubber shell that relies on four identical support segments. In addition, each segment represents the fourth part of the annular tube and cut into two parts by a vertical  cylindrical plane. The outer parts of each segment are connected with hinges to the posts and fixed on the support base, and the inner parts of each segment are also connected to a supporting elastic element and a  vibration-proof mass is connected by means of hinges. The authors describe the working procedure of the proposed construction and compile the mathematical model of vibration support with a quasi-zero stiffness  effect.Results. As a result, the equations of the mathematical model are performed in Matlab with the Simulink extension. The values of the equations are used to plot the strain variation of the toroidal shell of the corrector, which depends on the mass displacement, as well as on the motion patterns of a vibrationproof object of 100 kg for variants of the carrier spring without additional volume and with additional volume of the 1 - 10 Hz pneumatic spring carrier.Discussion and conclusions. The authors determine the pressure in the corrector shell, depending on the isolated object mass. Therefore, the deformation of the corrector shell could be provided with a support structure due to the elasticity of the shell material. The usage of additional volume together with the stiffness corrector allows to obtain a wider area of the load characteristics with quasi-zero stiffness and to improve the vibration-protective properties of the support.

scholarly journals A mathematical investigation of different growth rates in simultaneous tumors at two distant sites

2021 ◽  
Author(s):  
Farjana Aktar
Keyword(s):  
Mathematical Model ◽  
Growth Rate ◽  
Simulated Annealing Algorithm ◽  
The Other ◽  
Sensitivity Analyses ◽  
Small Tumour ◽  
System A ◽  
Set Up ◽  
Parameter Values ◽  
The Mathematical Model

Experimental data demonstrates that simultaneous injection of cancer cells at two distinct sites often results in one large and one small tumour. Unbalanced tumour-stimulating inflammation is hypothesized to be the cause of this growth rate separation, causing one tumour to grow faster than the other. Here, a mathematical model for immune recruitment and competition between two cancer sites is developed to explore the role of tumour-promoting inflammation in the observed growth rate separation. Due to the experimental set-up, immune predation may be neglected, focusing the model on tumour-promoting immune actions. A new mathematical model with localized immune recruitment and competition between the two cancer sites is developed using a multi-compartment ODE system. A simulated annealing algorithm is used to fit the model to control data (one tumour burden). Stability and parameter sensitivity analyses are used to explore the mathematical model and parameter space. Next, the two-tumour scenario is predicted by testing parameter values tied to possible biological mechanisms of action. The model predicts that indeed inflammation may be a contributor to growth rate separation observed in simultaneous tumour growth, if one site is pre-inflamed compared to the other.

scholarly journals Mathematical model of the road vibrating roller

2020 ◽  
Vol 1 (1) ◽  
pp. 133-139
Author(s):  
Pavel Aleksandrovich KORCHAGIN ◽  
Keyword(s):  
Mathematical Model ◽  
Dynamic System ◽  
Road Construction ◽  
Well Being ◽  
Point Of View ◽  
Engineering Industry ◽  
Supporting Surface ◽  
The Road ◽  
Vibration Protection ◽  
The Mathematical Model

Introduction. The process of compaction of the soil foundation by a road vibrating roller is considered as the object of the study. The main purpose of vibrating rollers used in road construction is to reduce the energy consumption of the compaction process and increase the productivity of the operations performed Since the 80s of the last century, the engineering industry has noted a tendency to abstention the production of static rollers. By reducing the amplitude of oscillations or completely disconnecting the vibrator, you can get the same static modes, and accordingly the results of rolling. In addition, the reduction of dynamic impacts positively affects the physical condition of an operator of the road-building machine, stabilizes the well-being and increases productivity. Materials and methods. The mathematical model of the dynamic system “Supporting surface–roller–operator” is presented. The main components of the dynamic system are described in the form of ordered and interacting subsystems. The forces acting on the dynamic system are determined; they are sources of dynamic effects. The calculation schemes of the subsystems “Operator” and “Roller”, which are of the greatest interest from the point of view of vibration protection, are reflected. Results. The result of the work can be considered the compilation of generalized scheme of the dynamic system; calculation scheme of the dynamic system; mathematical model “Supporting surface–operator–roller”; implementation of the mathematical model in MathLab, its additional Simulink extension package. Discussion and conclusion. The presented mathematical model allows carrying out research of the processes occurring in the dynamic system “Supporting surface–roller–operator”. The most rational mathematical model can be used in the development of methods and tools aimed at improving the vibration protection system for operators of road rollers. The mathematical model of a road roller is planned to be used as a basis for creating a robotic complex with an automated control system designed to perform operations to compact coatings and foundations in road construction.

scholarly journals MODELLING OF INTERNAL COMBUSTION ENGINES’ EMISSION THROUGH THE USE OF TRAFFIC FLOW MATHEMATICAL MODELS

Transport ◽  
2011 ◽  
Vol 26 (3) ◽  
pp. 271-278 ◽  
Author(s):  
Raimundas Junevičius ◽  
Marijonas Bogdevičius ◽  
Ádám Török
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Internal Combustion Engines ◽  
Internal Combustion ◽  
Flow Speed ◽  
Model Description ◽  
Regression Equations ◽  
Combustion Engines ◽  
Traffic Flows ◽  
The Mathematical Model

Road traffic flows on a straight road segment are modelled in this article. The mathematical model of traffic flows has been constructed by using the method of lumped parameters. CO2, CO, CH, NOx, PM regression equations of internal combustion engines’ (ICE) emission has been developed. The accuracy of regression equations is 0.98÷0.99. The article presents assumptions for constructing the mathematical model, description of the mathematical model and gives simulation results. Traffic flow parameters, such as traffic flow concentration and traffic flow speed are presented as modelling results. ICE emission depending on the concentration and traffic flow speed are presented as well.

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