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separated element on the right outside the flight conveyor). In turn, the extraction processor
continues the breaking of the coal has shifted to the point x j , and for the time dt has uploaded
to flight conveyor coal, the amount of which is conventionally shown on the left.
The upper part corresponds to the loading of the flight conveyor with coal at the time t i .
The lower part corresponds to the loading of the flight conveyor with coal at the time
t j = t i + dt.
Coordinate x 0 – the place of articulation of the flight conveyor with crusher, x i is the location of the excavation of the harvester at time t i , x j location of excavation harvester at time
t j , V sk – speed flight conveyor.
The analysis of the described process indicates that. Firstly, there is simply a shift in the
volume of coal towards the conveyor drift at the speed of the flight conveyor, secondly, there
is a replenishment of the volume of coal in proportion to the feed rate of the extraction
combine, and, thirdly, there is a removal of the volume of coal poured onto other theological
equipment. It should note that the process has the property of irreversibility. Thus, because
the data on the volumes of coal to reload to the following process equipment are lost, it is
necessary to additionally save data on the volumes of coal overloaded from the flight conveyor to be able to describe the process with a reversible time. The operation of shifting
the volumes of coal along the scraper conveyor does not allow the description in the final
form. In other words, in mathematics there are no such transformation operators D(ϕ) = Dϕ
(x), for which the action on the function should depend on the values of its arguments.
That is, the action of such an operator on the function ϕ, should be different and allow to
describe the processes (coal loading, coal movement, coal handling). In this case, the scope
of the operator, at the x coordinate, changes when moving the harvester. Thus, with the help
of functions of continuous description of the coal distribution on the flight conveyor, it is
impossible to obtain a formal description of the processes of “loading coal by the extraction
combine on the flight conveyor”, “moving coal by the flight conveyor”, “transshipment of
coal from the flight conveyor”.
Using a discrete representation of the volume of coal, that is, considering the numerous
portions of coal that are “loaded by the extraction combine on the flight conveyor”, “moved
by the flight conveyor”, “overloaded from the flight conveyor”, it is necessary to introduce
the equations of motion of each portion into the problem. In this case, the weights of the
coal portions loaded by the combine on the flight conveyor will be different (dM i ≠ dM i+k ).
Therefore, in the condition (left side) of determining the portions of coal that are in the bay,
it is necessary to use an integral, which leads to the fact that for each portion it is necessary
to know its current location, for which it is necessary to solve a set of equations of motion
Figure 1. Scheme of movement of coal flight conveyor.
separated element on the right outside the flight conveyor). In turn, the extraction processor
continues the breaking of the coal has shifted to the point x j , and for the time dt has uploaded
to flight conveyor coal, the amount of which is conventionally shown on the left.
The upper part corresponds to the loading of the flight conveyor with coal at the time t i .
The lower part corresponds to the loading of the flight conveyor with coal at the time
t j = t i + dt.
Coordinate x 0 – the place of articulation of the flight conveyor with crusher, x i is the location of the excavation of the harvester at time t i , x j location of excavation harvester at time
t j , V sk – speed flight conveyor.
The analysis of the described process indicates that. Firstly, there is simply a shift in the
volume of coal towards the conveyor drift at the speed of the flight conveyor, secondly, there
is a replenishment of the volume of coal in proportion to the feed rate of the extraction
combine, and, thirdly, there is a removal of the volume of coal poured onto other theological
equipment. It should note that the process has the property of irreversibility. Thus, because
the data on the volumes of coal to reload to the following process equipment are lost, it is
necessary to additionally save data on the volumes of coal overloaded from the flight conveyor to be able to describe the process with a reversible time. The operation of shifting
the volumes of coal along the scraper conveyor does not allow the description in the final
form. In other words, in mathematics there are no such transformation operators D(ϕ) = Dϕ
(x), for which the action on the function should depend on the values of its arguments.
That is, the action of such an operator on the function ϕ, should be different and allow to
describe the processes (coal loading, coal movement, coal handling). In this case, the scope
of the operator, at the x coordinate, changes when moving the harvester. Thus, with the help
of functions of continuous description of the coal distribution on the flight conveyor, it is
impossible to obtain a formal description of the processes of “loading coal by the extraction
combine on the flight conveyor”, “moving coal by the flight conveyor”, “transshipment of
coal from the flight conveyor”.
Using a discrete representation of the volume of coal, that is, considering the numerous
portions of coal that are “loaded by the extraction combine on the flight conveyor”, “moved
by the flight conveyor”, “overloaded from the flight conveyor”, it is necessary to introduce
the equations of motion of each portion into the problem. In this case, the weights of the
coal portions loaded by the combine on the flight conveyor will be different (dM i ≠ dM i+k ).
Therefore, in the condition (left side) of determining the portions of coal that are in the bay,
it is necessary to use an integral, which leads to the fact that for each portion it is necessary
to know its current location, for which it is necessary to solve a set of equations of motion
Figure 1. Scheme of movement of coal flight conveyor.