scientific journal of the modern education & research institute • The Kingdom of Belgium
In addition, in the further theoretical studies we will take:
=
=
Then (2) takes the form: (3) for the mechanical subsystem (4) where
,
, F spring = k '∑ x – forces (efforts) in the CTM sections;
x – armature’s shift (Figure 1); m∑ – the total mass of the moving parts; ' k ∑ – stiffness of elastic elements;
F ∑ (t ) – tractive effort exerted by the magnetшс system. In this equation tractive effort’s value is expressed by the relation, in accordance with Maxwell’s formula:
where
– the value of the magnetic flux in the air gaps, determining tractive effort; – total traction area of the poles (
=
=
,
).
Natural frequency of the mechanical part of the system is determined in accordance with: fn
1 = 2p
'
k∑ m∑
Given the above, represent the equations of the subsystems in a single system of equations: (5)
(6)
(7)
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