scholarly journals Mathematical Modeling Methods in Designing Onboard Laser-Ranging Systems of Spacecraft

2021 ◽  
pp. 13-35
Author(s):  
E. I. Starovoitov ◽  
D. V. Savchuk
Keyword(s):  
Mathematical Modeling ◽  
Spectral Range ◽  
Space Vehicle ◽  
Laser Ranging ◽  
Engineering Systems ◽  
Observation Distance ◽  
Modeling Methods ◽  
Pareto Sets ◽  
Space Objects ◽  
Rendezvous And Docking

To perform rendezvous and docking of spacecraft (SC), it is necessary to detect and measure the coordinates of a passive space vehicle (SV) using the onboard aids of an active SV. For this purpose, in addition to radio engineering systems, laser-ranging systems (LRS) are used. A designing process of the onboard LRS for promising spacecraft is currently becoming more complicated and requires taking into account a lot of factors.The authors have developed the PC software to assess capabilities of onboard pulse LRS of spacecraft when working on the nearby or distant space objects that have a diffusely scattering surface, as well as are equipped with the corner reflectors. The software also allows us to calculate the LRS parameters, which, according to GOST R 50723-94, ensure eye-safety in the spectral range of 0.81 ... 1.5 microns in case of accidental irradiation.The energy of the intensifier pulse and the divergence of a sensing beam determine the LRS range and the distance of eye-safe observation, which are the most important indicators to characterize the onboard LRS capabilities. To ensure the best LRS range and safety characteristics simultaneously, it is necessary to solve the problem of multi-criteria optimization.The paper solves the problem of multi-criteria optimization for the maximum LRS range and the eye-safe observation distance by Pareto sets the use of which allows us to avoid uncertainty in choosing a significance of criteria.The results obtained show that the proposed methods can be successfully applied in designing onboard LRS of spacecraft.

Evaluation of the functional tension of foreign medical student’s organisms in adapting to educational activities

2020 ◽  
pp. 755-755
Author(s):  
N. K. Smagulov ◽  
A. A. Adilbekova ◽  
N. V. Gitenis
Keyword(s):  
Mathematical Modeling ◽  
Foreign Students ◽  
Educational Process ◽  
Educational Activities ◽  
Modeling Methods ◽  
Functional Stress

The use of mathematical modeling methods allowed us to develop criteria for functional stress for assessing and predicting the level of functional stress of foreign students in the process of adaptation to the educational process.

Application of mathematical modeling methods for solving the problem of optimizing the geometry of the developed external surface of an industrial oil cooler

2020 ◽  
Author(s):  
E. S. Baimetova ◽  
M. R. Koroleva ◽  
A. A. Chernova
Keyword(s):  
Mathematical Modeling ◽  
External Surface ◽  
Modeling Methods ◽  
Industrial Oil ◽  
Oil Cooler

Для отвода тепла от рабочей жидкости гидравлических систем необходима установка маслоохладителя, геометрия которого напрямую влияет на его эффективность. В данной работе рассмотрены вопросы постановки и реализации вычислительного эксперимента для решения задачи оптимизации конструкции промышленного маслоохладителя.

scholarly journals The use of mathematical modeling methods for solving geo-ecological problems of sustainable development of regions

2020 ◽  
Vol 161 ◽  
pp. 01005
Author(s):  
M V Volik
Keyword(s):  
Mathematical Modeling ◽  
Air Pollution ◽  
Sustainable Development ◽  
Numerical Study ◽  
Digital Technologies ◽  
Motor Vehicles ◽  
Gaseous Pollutants ◽  
Mathematical Apparatus ◽  
Modeling Methods ◽  
Ecological Problems

Currently, a number of environmental problems have a significant impact on the stable economic development of the country. A global problem is the study of air pollution. The solution of such geoecological problems should be carried out with the use of modern mathematical apparatus and digital technologies. The paper presents the results of a numerical study of the distribution of gaseous pollutants emitted by motor vehicles in the pedestrian zone of streets. It is shown that the vortex structures formed in the studied city buildings development have a significant impact on the accumulation of anthropogenic impurities.

scholarly journals Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-18 ◽  
Author(s):  
Syeda Tehmina Ejaz ◽  
Ghulam Mustafa ◽  
Faheem Khan
Keyword(s):  
Mathematical Modeling ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Boundary Value ◽  
Engineering Systems ◽  
Subdivision Schemes ◽  
Load Bearing ◽  
Robotic Arms ◽  
Numerical Examples ◽  
Comparison Of The Results

We present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street lights and robotic arms in multipurpose engineering systems. Numerical examples are given to illustrate the algorithms. We conclude that approximating schemes based collocation algorithms give better solution than interpolating schemes based collocation algorithms. Main purpose of this paper is to explore and seek the applications of interpolating and approximating subdivision schemes in the field of boundary value problems along with intrinsic comparison of the results obtained by algorithms based on these schemes. A comparison with other approaches of this type of boundary value problems in order to see the advantages of the proposed methods is also given.

Application of mathematical modeling methods in scientific investigations and in the manufacture of artificial fibres and yarns

1985 ◽  
Vol 16 (3) ◽  
pp. 138-146 ◽  
Author(s):  
L. V. Zhuravlev ◽  
T. A. Rozen'kova ◽  
A. S. Spasskii ◽  
T. G. Suris
Keyword(s):  
Mathematical Modeling ◽  
Scientific Investigations ◽  
Modeling Methods

scholarly journals Analysis Of Three Layer Concentric Tube Heat Exchange Using Mathematic Modeling

2021 ◽  
Vol 10 (3) ◽  
pp. 86-92
Author(s):  
Rinaldy Valendry
Keyword(s):  
Mathematical Modeling ◽  
Heat Exchange ◽  
Coming Out ◽  
Theoretical Calculations ◽  
Fluid Temperature ◽  
Modeling Methods ◽  
Mathematic Modeling ◽  
Cold Fluid ◽  
Theory Calculation ◽  
Exchange Apparatus

A three-channel concentric pipes heat exchanger is a development or improvement of a two-channel concentric heat exchange apparatus. This study was conducted to determine the output temperature of each channel, and compare the results of theoretical calculations using mathematical modeling of experimental results conducted in the field. So that obtained difference of value between result of experiment to result of theory calculation. In this study have 3 variations of temperature data that is 50 °C, 55°C, and 60 °C with two streams namely CounterFlow and PararellFLow and discharge 2.5 l/minute, while cold fluid with 25 °C discharge 1.5 l/minute. From the above analysis it can be concluded that the temperature of the hot fluid coming out of the APK in the experiment tends to be higher than the temperature of the hot fluid coming out of the APK on theoretical calculations of mathematical modeling methods. Meanwhile, the cold cold fluid temperature coming out of the APK in experimental tends to be lower than the temperature of the cold fluid coming out of the APK on theoretical calculations of mathematical modeling methods.

scholarly journals Creation of Polymer Coatings for Improving of Protective Properties of Surfaces

2021 ◽  
Vol 12 (2) ◽  
pp. 2698-2702
Author(s):  
A.A. Orekhov, Et. al.
Keyword(s):  
Mathematical Modeling ◽  
Mechanical Properties ◽  
Polymer Coatings ◽  
Strength Properties ◽  
Structural Elements ◽  
Properties Of Coatings ◽  
Mechanical Loads ◽  
Protective Properties ◽  
Modeling Methods ◽  
Metal Plates

In this paper, the preparation of polymer coatings on the surface of metal structural elements is considered to improve their physical, mechanical and strength properties. It is shown that the behavior of substrate samples under mechanical loads can be estimated using mathematical modeling methods. The properties of coatings and the mechanical properties of coated and uncoated metal plates have been evaluated. Methods for constructing mathematical models of metal plates of various structures are proposed.

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