scholarly journals Refinement of the Matching Coefficients of the Mathematical Model of Spacecraft Motion Using the Concept of “Generalized Observability”

2020 ◽  
Vol 7 (4) ◽  
pp. 3-13
Author(s):  
А. E. Tyulin ◽  
◽  
A. V. Kruglov ◽  
V. V. Betanov ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Structural Property ◽  
Systematic Approach ◽  
Spacecraft Motion ◽  
Object System ◽  
Emergency Situations ◽  
Ballistic Coefficient ◽  
Navigation Tool ◽  
System Task ◽  
The Mathematical Model

The aim of this paper is to improve the scientific and methodological support of identification tasks when specifying the parameters of spacecraft motion. The article examines a systematic approach to ensuring the specification of the ballistic coefficient in the mathematical model of the spacecraft motion. For emergency situations, an approach was used that takes into account the object–system “task–solution tool”, which allows taking into account the errors of all elements of the navigation tool. The introduced structural property “generalized observability” makes it possible to solve the problem of Sb refinement in traditional and non-traditional conditions in the practice of operational navigation and ballistic support of spacecraft flight.

scholarly journals Mathematical modeling of emergency situations at objects of production and gas transportation

2018 ◽  
Vol 251 ◽  
pp. 04012 ◽  
Author(s):  
Victor Orlov ◽  
Elena Detina ◽  
Oleg Kovalchuk
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Life Cycle ◽  
Real Life ◽  
Functional Safety ◽  
Emergency Situations ◽  
Managerial Decisions ◽  
Management Of Resources ◽  
Rational Management ◽  
The Mathematical Model

Mathematical modeling attracts the attention of researchers from different fields, as one of the rigorous methods of justifying the conducted researchs. Mathematical modeling makes it possible forecast to real life situations. Based on the mathematical model, the work provides the innovative recommendations for making managerial decisions on increasing the reliability and functional safety of the pipeline at all stages of its life cycle. The results obtained allow: 1) to consider issues related to the rational management of resources for the maintenance of the infrastructure of gas chemical complexes in conditions of limited means; 2) is have adapt RAMS methodology to the complex of Russian standards and the base of normative and methodological documentation on managing the life cycle processes of systems of to product and transportat of gas.

scholarly journals Mathematical model for the evaluation of risk of emergency situations at a dangerous technical object based on artificial neural networks

2018 ◽  
Vol 44 ◽  
pp. 00069
Author(s):  
Nikolay Peganov ◽  
Aleksandr Tumanov ◽  
Vladimir Tumanov
Keyword(s):  
Neural Networks ◽  
Mathematical Model ◽  
Risk Assessment ◽  
Artificial Neural Networks ◽  
Fire Risk ◽  
Management Decision ◽  
Technical Object ◽  
Emergency Situations ◽  
Artificial Neural ◽  
The Mathematical Model

In the work performed adaptation of artificial neural networks in modern security systems potentially dangerous technical objects — high-rise buildings as tools for assessing and forecasting in management decision. The study obtained the main scientific results: the mathematical model of risk assessment of man-made emergencies based on artificial neural networks; the mathematical model, adapted to the cumulative model of development technogene emergency-fire; provided risk assessment technique manmade emergencies based on artificial neural networks; represented private man-made fire risk assessment methodology using artificial neural networks.

DEVELOPMENT OF A MATHEMATICAL MODEL OF REGISTRATION OF INDIRECT SIGNS OF EMERGENCY SITUATIONS OF TECHNOGENIC CHARACTER AT CRITICAL INFRINGED OBJECTS

2021 ◽  
pp. 18-24
Author(s):  
Gennadiy Kamyshentsev
Keyword(s):  
Mathematical Model ◽  
Critical Infrastructure ◽  
Emergency Situation ◽  
Queuing System ◽  
Motor Vehicles ◽  
Normal Operation ◽  
Repair Work ◽  
Emergency Situations ◽  
Working Hypothesis ◽  
The Mathematical Model

In the work on the basis of the analysis of vulnerability of objects of critical infrastructure, the mathematical model of registration of indirect signs of emergence of an emergency situation of technogenic character on objects of critical infrastructure is developed. The main parameters of the functional environment of mathematical model formation are analyzed and the basic equations of interrelation between variable and invariant parameters are determined. A description of the mathematical model is given. Mathematical model of registration of indirect signs of man-made emergency at critical infrastructure facilities, represents a system of five dependencies, represents a system of five dependencies. The first dependence allows you to calculate the current value of the probabilities of emergencies on the overpass depending on the number of possible typical emergencies, system load and the current number of requests received for maintenance. The second dependence evaluates the situational background of motor vehicles as a working hypothesis that the emergency situation will not lead to long-term deviations from the normal operation of the overpass. The third dependence evaluates the situational background of motor vehicles as a working hypothesis that the consequences of the emergency situation will lead to the decommissioning of the overpass and the implementation of restoration and repair work. Fourth, and allow you to estimate the load of the queuing system on the total time of employment of the system and the number of vehicles that are at this key junction of the highway. The fifth dependency allows you to estimate the load of the queuing system on the basis of actual, statistical data, including current ones. Key words: emergency situation, acoustic control, critical infrastructure objects

scholarly journals Development of the Mathematical Model of Integrated Management System for an Airline

2016 ◽  
Vol 3 (1) ◽  
pp. 44-51 ◽  
Author(s):  
Ruta Bogdane ◽  
Vladimirs Šestakovs ◽  
Dejan Dencic
Keyword(s):  
Mathematical Model ◽  
Management System ◽  
Systematic Approach ◽  
Integrated Management ◽  
Present Stage ◽  
Integrated Management System ◽  
Key Indicator ◽  
Medium Level ◽  
The Mathematical Model

Abstract At the present stage of airline development the most effective way to increase safety is to introduce a systematic approach to the management of the organization. The creation of a single integrated management system including the combination of resources will make it possible to maintain the necessary level of quality of aviation services with safety as a key indicator. The article offers a model of such an integrated management system for medium level airlines.

scholarly journals EVALUATION PROBABILITY OF INGOING FACTOR IN THE EMERGENCY SITUATIONS OF AIRCRAFT

2014 ◽  
pp. 40-49
Author(s):  
Олександр Курдеча
Keyword(s):  
Risk Factors ◽  
Mathematical Model ◽  
Human Action ◽  
Estimation Risk ◽  
Probability Of Occurrence ◽  
Emergency Situations ◽  
Structural Relationships ◽  
The World ◽  
The Impact ◽  
The Mathematical Model

 This paper describes the evaluation probability of ingoing factor (factor which leads to emergency situations)in the specific situations (abnormal situations and contingencies which evolution dependence from human action in it)as the system of contacts between failures of aircraft and aviation personnel erroneous actions.In this paper investigation is concerned with types of factors to analyse the causation of accidents from a probability factors' point of view.The paper makes it possible to assess the impact of factors on the possibility of an accident. This is achieved by taking into account the structural relationships between risk factors.As a result, we have suggested the mathematical model of estimation risk factors with using information of aviation events in the world statistics provided in the ADREP and formulates the concept of danger, numerical value of which is determined by the probability of occurrence of a factor in the disastrous situation.

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

2015 ◽  
Vol 1084 ◽  
pp. 673-677 ◽  
Author(s):  
Aleksey A. Orlov ◽  
Sergey N. Timchenko ◽  
Vladimir S. Sidorenko
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Technological Equipment ◽  
Uranium Enrichment ◽  
Emergency Situations ◽  
Gas Centrifuge ◽  
The Mathematical Model ◽  
Hydraulic Processes ◽  
Centrifuge Cascades

In this article the mathematical model of non-stationary hydraulic processes occurring in gas centrifuge cascades for uranium enrichment is described. This model simulates the technological equipment behavior in standard and emergency situations for possible operational and disturbing influences. Also, the algorithm of differential equations system solving for this model is represented.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

Sign in / Sign up

Export Citation Format

Share Document