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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

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