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Fig. 1. Electromechanical Adaptive Drive
The considered electromechanical system has two degrees of freedom. Constraint of angular
velocities of stator
1
and rotor
2
defines interconnection of parameters of the electric drive.
If the stator is motionless, angular velocities of the stator 1 and a rotor 2 at the motionless stator
1 look like
n
)
1
(
2
)
1
(
1
,
0
, where
n
- nominal angular velocity of the electric motor. If the
electric motor together with its support to set in motion with some angular velocity
then in this
converted motion the angular velocities will accept next values
n
2
1
,
.
The difference of angular velocities defines electric constraint between stator and rotor
n
1
2
. (1)
The plot of linear speeds of the planetary train (fig. 2) defines mechanical constraint between
angular velocities. According to the plot of linear speeds
H
V
V
V
2
6
4
. (2)
Here
H
H
H
r
V
r
r
V
r
r
V
,
6
2
6
6
6
,
4
1
4
4
4
,
H
r
r
r
,
,
6
4
- radiuses of toothed wheels 4, 6 and carrier
H
,
H
,
,
6
4
- angular velocities of toothed wheels 4, 6 and carrier
H
. Here
2
6
1
4
,
.
After substitution of these values in the equation (2) we will gain mechanical constraint of angular
velocities of the stator, a rotor and output link
H
H
H
r
r
r
2
6
2
4
1
. (3)
The system of the equations (1) and (3) defines interconnection of angular velocities and provides
definability of relative motion of stator and rotor. Solving system (1), (3), we will gain
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