scholarly journals Software package of mathematical modeling and structure for solving the dynamics problems of structurally-inhomogeneous shell structures

2020 ◽  
Vol 883 ◽  
pp. 012191
Author(s):  
Sh Salimov
Keyword(s):  
Mathematical Modeling ◽  
Software Package ◽  
Shell Structures ◽  
Dynamics Problems ◽  
Inhomogeneous Shell

scholarly journals RESEARCH OF INFLUENCE OF AIR TEMPERATURE ON THE LEVEL OF NITROGEN OXIDES IN SMOKE GASES OF BOILER PLANTS

2019 ◽  
Vol 9 (4) ◽  
pp. 27-32
Author(s):  
Olga A. BALANDINA ◽  
Svetlana M. PURING
Keyword(s):  
Mathematical Modeling ◽  
Nitric Oxide ◽  
Nitrogen Oxides ◽  
Flue Gas ◽  
Software Package ◽  
Flame Temperature ◽  
Combustion Process ◽  
Flue Gases ◽  
Oxidizing Agent ◽  
Mixture Formation

The analysis of the values of the concentrations of the formed nitrogen oxides and the temperatures of the jet plume under various conditions of mixture formation is carried out. The plots of the distribution of torch temperatures and concentrations of nitric oxide in the calculated area for oxidizer temperatures of 20, 60, 100, 150, and 200 ° C were obtained and analyzed. Mathematical modeling of the gaseous fuel combustion process was carried out using the FlowVision software package. An analysis of the results showed that a decrease in the temperature of the air supplied as an oxidizing agent leads to a significant decrease in the concentration of nitrogen oxides in flue gases, while not significantly affecting the change in the flame temperature. The research results can be used to solve the problems of optimizing boiler plants, in order to reduce harmful flue gas emissions. Further modeling is planned to determine the dependence of the influence of various factors on the degree of formation of nitrogen oxides in the flue gases of boiler plants.

scholarly journals MODELING OF WASTEWATER TREATMENT

2021 ◽  
Author(s):  
Yu.S. Chirikanova ◽  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Wastewater Treatment ◽  
Activated Sludge ◽  
Water Purification ◽  
Software Package ◽  
Biological Treatment ◽  
Aeration Tank ◽  
Biological Wastewater Treatment ◽  
Biological Treatment System

The paper deals with the problem of mathematical modeling of biological wastewater treatment. The peculiarity of the biological treatment system is that a block with activated sludge, called an aeration tank, is used for water purification. To describe the process of biological wastewater treatment in aeration tanksa mathematical model developed in the GPS-X software package is proposed.

scholarly journals APPROXIMATION OF THE WORKSPACE OF PARALLEL AND SERIAL STRUC-TURE MANIPULATORS AS PART OF THE MULTI-ROBOT SYSTEM

2019 ◽  
pp. 121-128 ◽  
Author(s):  
Л. Рыбак ◽  
L. Rybak ◽  
Д.И. Малышев ◽  
D.I. Malyshev ◽  
Л. Бехера ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Software Package ◽  
Robotic System ◽  
Geometric Parameters ◽  
Parallel Structure ◽  
Robot System ◽  
C Language ◽  
Computational Problem ◽  
Different Dimensions ◽  
Selection Of

The article describes the application of optimization algorithms for solving the problem of determining the workspace of robots as a serial and parallel structure based on the tripod. The method of approximating the set of solutions of nonlinear inequalities system describing constraints on the geometric parameters of the robot and based on the concept of non-uniform coverings is considered. The internal approximations defined as a set of parallelepipeds are obtained on the basis of the method. The influence of various geometric parameters on the volume of the workspace of the robot is analyzed. To approximate the workspace, the developed algorithm and its modifications with different dimensions of parallelepipeds and approaches to the transfer of constraints from the space of input to the space of output coordinates due to the complexity of the computational problem are used. A software package in the C ++ language is developed to implement the algorithms. The results of mathematical modeling are presented. Various dimensions of the grid to calculate the functions, as well as the accuracy of the approximation are experimentally conducted. The obtained results can be used in the selection of geometric parameters of robots, which determine their limitations when moving as part of a multi-robotic system.

Mathematical Modeling and Optimization of Fluidized Layer Carbonitriding Process for 1C 25 Steel

2017 ◽  
Vol 1143 ◽  
pp. 180-187
Author(s):  
Marian Iulian Neacsu ◽  
Sorin Dobrovici
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Software Package ◽  
Order Equation ◽  
Graphical Interface ◽  
Technological Parameters ◽  
Fluidized Layer ◽  
The Mathematical Model ◽  
Hardness Values ◽  
Temperature Depth

This paper presents the experiment-based mathematical modelling of fluidized bed carbonitriding process for 1C 25 steel meant to optimize this type of thermochemical processing.Based on experimental results, the mathematical model was developed, which is a second order equation with three unknown terms (parameters): temperature, depth of carbonitrided layer, the percentage of ammonia.The mathematical model allowed the simulation of the fluidized layer carbonitriding process according to its parameters and the thermal energy optimization for obtaining HV hardness values in the range 300-400 MPa.Using the software package Matlab a graphical interface was done, through which all the combinations of technological parameters of the carbonitriding process are determined, leading to obtaining values of microhardness between 300 and 400 MPa, as well as the amount of energy consumed for each variant. The variant consuming the lowest energy is considered optimal.

scholarly journals On Some Unsolved Problems of Mathematica

2012 ◽  
Vol 2 (4) ◽  
pp. 259-264
Author(s):  
E. V. Vorozhtsov
Keyword(s):  
Gas Dynamics ◽  
Software Package ◽  
Two Dimensional ◽  
Fortran Code ◽  
Gas Dynamics Problems ◽  
Dynamics Problems ◽  
Mathematica Software ◽  
Alternate Routes ◽  
Computing Speed

In this paper, some unsolved problems of the Mathematica software package are documented. At first, it is shown, using a number of examples, that the processing (simplification) of rational-fractional expressions involving powers in the general form, has been implemented in Maple more carefully than in Mathematica. Then, an error in Mathematica is demonstrated, leading to incorrect results at a change of a function’s body. For each example of symbolic or symbolic-numeric computations, alternate routes for solving the emerged problem are proposed (where possible). An added problem, related to Mathematica’s computing speed is documented, employing examples related to two-dimensional gas dynamics problems. It is shown that Mathematica computes rather slowly (about one thousand times slower) compared to a Fortran code.

scholarly journals Mathematical modeling of low-frequency diagnostic vibration-acoustic vibrations of linear-extended energy objects of housing and communal services

2020 ◽  
Vol 216 ◽  
pp. 01076
Author(s):  
V.E. Zakharova ◽  
S.O. Gaponenko ◽  
A.O. Fedotova
Keyword(s):  
Mathematical Modeling ◽  
Modal Analysis ◽  
Software Package ◽  
Lateral Pressure ◽  
Low Frequency ◽  
Acoustic Vibrations ◽  
Ansys Software ◽  
Natural Vibrations ◽  
Polyethylene Pipes

A modal analysis of natural vibrations of polyethylene pipelines is proposed, which is a calculation of the vertical and lateral pressure exerted by the soil on the pipelines, on the basis of which the study of vibrations in the ANSYS software package was carried out. The results of modal analysis are presented for polyethylene pipes with a layout with inclined walls and various soils.

scholarly journals SIMULATION AND MATHEMATICAL MODELING OF AUTOMOBILE TRAFFIC BY MEANS OF ANYLOGIC AND STATISTICA

2021 ◽  
Author(s):  
Anton Holkin ◽  
Aleksandr Pavlov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Simulation Model ◽  
Simulation Modeling ◽  
Software Package ◽  
Simulation Experiment ◽  
Model Optimization ◽  
Road Section ◽  
The City

This article describes a simulation model of a road section in the city of Kazan, created using the AnyLogic simulation modeling system. The process of creating a simulation model, optimization by AnyLogic SIM tools is described, a mathematical model of the flow of cars is constructed based on the results of a simulation experiment using the STATISTICA 10 software package.

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