The mathematical model presented in this article is designed to assess the probability of occurrence probability of technological failure potato harvester according to the specific conditions and usage
In the article, we present the mathematical model of referring documents entering the automated system to the spheres of users responsibility. The possibility of application of mathematical apparatus of final predicates algebra as a basic means of model description is proved
Known mathematical models of mechanical speed of a driving are functions of two key parameters of management – axial load of a chisel and speeds of rotation of a chisel. The third parameter – a consumption of boring solution on which cleaning of a well of destroyed breed depends exists only in the A.A. Pogarsky model in an obvious or implicit way. The drilling management of the process of conducting of the well is carried out by regulation only of one parameter – loads of a chisel, thus other parameters are supported by constants according to the project on drilling. However, practice of drilling testifies that function of speed of drilling has extremum and for the speed of rotation of a chisel, and for a solution consumption. In work the regression analysis of experimental data of drilling for receiving mathematical model of mechanical speed of a driving is made as functions of three parameters of management, thus are received the models of speed of drilling depending separately on each of parameters at maintenance of two others constants. Schedules of the approaching functions with points of data of drilling from official reports of drilling foremen are constructed. The technique of adaptive optimum control of process by means of the received model of three variables is described: according to the current data of drilling through the set time interval by means of a method of the smallest squares drilling model coefficients constantly are recalculated - thereby the model is constantly arranged under conditions on a well face. Optimum parameters of management of drilling are determined by the adapted model, they are established on the drilling rig and the face drilling in the optimum mode is made. At breed change coefficients of model are again arranged under bottomhole conditions, optimum parameters of management for this breed, etc. are defined. As the model constantly adapts to a face, as a model it is possible to take a standard polynomial of the second degree and to recalculate its coefficients. It will also allow defining new types of models for management of drilling process
Theoretically and experimentally, we investigated the
process of adjusting the pH of natural water of
hydrocarbonate class electrodialyzer with bipolar
membranes with channel length of 40 cm. We
experimentally measured concentration of
components, pH of the solutions in alkaline and acid
channels of electrodeposition depending on the current
density. The article describes a mathematical model
for long channels; to scale the mass transfer
characteristics of the process there was applied and
verified a method of compartmentalization, which
gave the possibility to calculate the dependence of the
component along the channel length at different
velocities of flow of the solution. Numerical
calculations were compared with experimental data on
electrodialyser of 10 cm and 40 cm length
Most of the tasks of planning and organizing transport
routes are pointed to solving optimization problems
on graphs in multi-criteria statements, for which the
only optimal solution is missing. In conditions of
multicriteria, it becomes necessary to search for a set
of alternatives instead of an optimum. The quality of
the admissible solutions is estimated by the vector
objective function. The article proposes to investigate
the problem using a special class of graphs -
prefractal graphs, which allow describing in a natural
way the structure of the hierarchy of territorial links,
as well as enable to take into account structural
dynamics in terms of system growth. A multicriteria
mathematical formulation of the problem of covering
a prefractal graph by simple intersecting chains is
constructed, to which the investigated problem of
organizing routes in large-scale transport networks
reduces. The main social and economic requirements
for the transport system are formulated and included
in the model in the form of criteria
The article presents the mathematical model for
determining the temperature after passing trough
nozzles of press-granulator, which allows to take
into account heat loss through the exterior surface
The article describes the model of the unsteady growth of biological objects on the example of pine. The features of the growth modeling of biological objects are presented
This article discusses the mathematical and numerical modeling of the immune system of the course of HIV infection without treatment. Presently a significant number of scientific papers are devoted to the study of this problem. However, HIV infection is highly volatile and there is no effective drug, in that HIV has the ability to mutate and reproduce itself in the presence of chemical substances that are meant to inhibit or destroy it. The mathematical models used in this paper are conceptual and exploratory in nature. The proposed mathematical model allow us to obtain a complete description of the dynamics of HIV infection, and also an understanding of the progression to AIDS.
Thus, the results of the numerical solution of differential equations in this work show that: the disease develops, and at low concentration of the virus, a certain level of stability does not depend on the initial concentration of infestation. In the absence of treatment, for interesting competition between virus and the loss of virus caused by immune response should be strictly greater than the rate of multiplication of the virus in the blood; the reproduction rate of the uninfected cells should be stricly greater than the mortality rate of the uninfected cells
The purpose of work is increasing the efficiency of the inertial conveyor by applying the link of preacceleration of the linear induction electric drive (LIED). One of the tasks is creation a mathematical model and its research. LIED design with the link of preliminary dispersal was chosen during the work, its installation coordinated on the inertial conveyor. The mathematical model created and its researches conducted. The results of the researches confirm the increasing of the efficiency of the inertial conveyor
The article deals with a plunger pump with a cylindrical linear induction motor (CLIM) in the drive, patented in the Russian Federation and the mathematical model of the drive, made on the basis of the equations of motion of the plunger and mechanical characteristics of CLIM on differential equations by Park-Gorev