Two versions of technological schemes of supply of materials by conveyor transport from storehouses to account bunkers of concrete plants are possible (Fig.1).
Fig.1. Basic schemes of conveyor transport.
In the first case (Fig.1,
Fig.2. Possible versions of transport routes.
1 – 35
– conveyors.
1, 2, 3, 4, 5, 6, 7
};
m
={
_{
2
}
8, 3, 9, 10
}).
Intersection of routes
– the conveyor or group of conveyors entering in some routes (for example,
3, 6, 23
).
Union of routes
– the set of all routes having the given intersection (for example,
m
U
_{
1
}
m
;
_{
2
}
m
U
_{
1
}
m
;
_{
3
}
m
U
_{
5
}
m
U
_{
6
}
m
).
_{
7
}
Connection
– the route entering at the same time in some unions (for example,
m
;
_{
1
}
m
).
_{
3
}
Network
– the set of unions of routes, constructed thus that for any union at least, one union (distinct from the given), having with it
connection, will be (Fig.2,
а
).
Junction
– the union of routes which is not having connections with other unions (Fig.2,
б
).
The general scheme of conveyor transport may be divided into subschemes which structure conforms either to unit (Fig.1,
а
), or to network
(Fig.1,
б
).
The accepted definitions we'll use at the structurel analysis of the actual scheme of conveyor transport (Fig.3).
Fig.3. The actual scheme of conveyor lines of concrete mixing plants facilities.
According this scheme aggregates of concrete (sand, gravel, road metal) various fractions move from storehouses
k
to concrete plants of cyclic (
_{
l
}
I
) and continuous (
II
) action. In points
A
and
_{
j
}
B
flowss of materials are accordingly divided or united. The initial information about structure of the considered transport
scheme is shown in tab.1.
_{
j
}
The scheme (Fig.3) and tab.1 provide a possibility of use of road metal at a plant of cyclic action as a aggregate for some marks of concrete. The structural analysis of the transport scheme we'll execute for its first version. To establish interconnection between separate routes, we'll draw up on the basis of tab.1 the following matrix
S
:
The matrix is constructed as follows. If on intersection of the
m
,
therefore the ninth element of the first line is equal 1, and other elements – zeros. On the other hand, the route
_{
9
}
m
consists
of conveyor lines
_{
2
}
k
,
_{
4
}
k
,
_{
5
}
k
. In the matrix
_{
6
}
S
it is shown that the fourth,
fifth and sixth elements of the second column are equal to 1.
Using the matrix
S
, we define intersections, unions of routes and connections. If in the
l
-th line of the matrix
S
,
appropriating to the conveyor line
k
, two or more unit elements are available the given conveyor line is intersection of those
routes which columns are conformed with these elements. For example, the conveyor line
_{
l
}
k
is an intersection of the routes
_{
4
}
m
,
_{
1
}
m
,
_{
2
}
m
,
_{
3
}
m
, and the conveyor line
_{
4
}
k
is an
intersection of the routes
_{
6
}
m
,
_{
2
}
m
,
_{
4
}
m
,
_{
6
}
m
. Conveyors
_{
8
}
k
and
_{
l
}
k
also can be considered as an intersection, as enter into the isolated route
_{
2
}
m
.
_{
9
}
The set of the routes
u
=
_{
2
}
m
U
_{
1
}
m
U
_{
2
}
m
U
_{
3
}
m
is
a union of routes on the intersection
_{
4
}
k
, the set of the routes
_{
4
}
u
=
_{
3
}
m
U
_{
2
}
m
U
_{
4
}
m
U
_{
6
}
m
– a union of routes on the intersection
_{
8
}
k
, etc.
_{
6
}
For the union
u
all its four consisting routes – connections:
_{
3
}
m
and
_{
2
}
m
enter into the
unions
_{
4
}
u
and
_{
2
}
u
;
_{
3
}
m
- into
_{
6
}
u
and
_{
3
}
u
;
_{
5
}
m
– into
_{
8
}
u
and
_{
3
}
u
(tab.2).
_{
9
}
m
, we come to conclusion, that all routes of the transport scheme are divided on three sets not connected
among themselves: 1 – unit (route
_{
k
}
m
); 2 – network (routes
_{
9
}
m
,
_{
1
}
m
, ...,
_{
2
}
m
);
3 – a network (routes
_{
8
}
m
,
_{
10
}
m
,
_{
11
}
m
,
_{
12
}
m
).
_{
13
}
Fig.4. Technologically independent sites of the transport scheme. In the actual transport scheme it conforms to breakdown of the scheme on technologically independent three sites (Fig.4): transportation of gravel of fraction 80 - 120 mm - unit (Fig.4,
a
); transportation of gravel of fractions 5 - 10, 10 - 20, 20 - 40 and 40 - 80 mm - network (Fig.4,
b
); transportation of sand - network (Fig.4,
c
).
The control by transport flows of aggregate to account bunkers on three received sites can be carried out independently. |

Contents
>> Engineering Mathematics
>> Control Systems
>> Control of Flow-Transport System of Concrete Mixing Plants
>> Structural analysis of the transport scheme