Latvian Maritime academy
Latvian Maritime academy
Latvian Maritime academy
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Figure 2. Calculation scheme of task<br />
Availabity of three rolls is taken into consideration by the succession of repeated rolling of cylinder on<br />
2<br />
surface of layer, the periodicity of which is: T where is augular velocity of rotation of rolling<br />
3<br />
arrangement. For the simplicity we shall consider the strained condition of layer uniaxial neglecting<br />
lateral thrust.<br />
Compression of baked layer is connected with availabity of sufficient residual plastic deformation.<br />
That is why the contact pressure influenced on layer by the roll must be so that, arisen strain by it in the<br />
layer will excel the limit of the fluidity layer material and it will be considered to to be carried out.<br />
The material of the baked is glutinous-plastic, which is described by model Shvedov-Bingom [3]:<br />
d<br />
m ; m<br />
(1)<br />
dt<br />
where in the strength, -is deformation, is coefficient of toughness.<br />
So, let’s consider the wheel of radius r , loaded by force P and moved to the right with constant<br />
axis velocity , determined through angular velocity of rotation of rolling arrangement, where R - is<br />
the distance from axis of roll to the centre of rolling arrangement R 0 , 5D<br />
r .<br />
Deformation under the point with the longitudinal coordinate in one – dimension variant is determined as<br />
x<br />
, where H is the elementary thickness of sprayed coating. Then, considering the stressed<br />
H<br />
condition in transversal direction uniform, we shall obtain the [1] formula<br />
dx<br />
m ; <br />
m<br />
(2)<br />
H dt<br />
Solution of task<br />
Let’s mark h n<br />
sediment of coating its compression, after several rolling of this section of coating.<br />
As the material of coating is glutinous-plastic and is deprived the property of elastic restoration of any<br />
part before deformation form, then their contact at movement of coating roll stops: in the lowest point of<br />
roll. To expose the characteristics of compression process of coating we shall use the scheme, given in the<br />
work [2].<br />
According to Figure 2 the length of projection a for horizontal plane will be determined<br />
2<br />
2<br />
a DB DC AD ( AC AD)<br />
AD (2R<br />
( hn<br />
hn<br />
1))(<br />
hn<br />
hn<br />
1)<br />
Having limited to linear item relative to small quantity of joint sediment<br />
h n hn<br />
hn<br />
1<br />
(3)<br />
we shall approximately get:<br />
2<br />
a R(<br />
h n h )<br />
(4)<br />
2 n1<br />
5