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10

After measuring the period T the natural frequency
of the system 

ω

0

 can be obtained from

ω

0

 = 2 

π

/T = 3.3069 Hz

The most extreme deflection arises at a motor volt-
age of 7.6 V, i.e. the resonance case occurs.

Then the same experiment is performed with an
eddy current brake connected at currents of

Ι

 = 0.2 A, 0.4 A and 0.6 A.

ΙΙΙΙΙ

 = 0.2 A

Motor voltage V

ϕ

3.0

0.9

4.0

1.1

5.0

1.2

6.0

1.7

7.0

2.9

 7.6

15.2

8.0

4.3

9.0

1.8

10.0

1.1

ΙΙΙΙΙ

 = 0.4 A

Motor voltage V

ϕ

3.0

0.9

4.0

1.1

5.0

1.3

6.0

1.8

7.0

3.6

7.6

7.4

8.0

3.6

9.0

1.6

10.0

1.0

ΙΙΙΙΙ

 = 0.6 A

Motor voltage V

ϕ

3.0

0.9

4.0

1.1

5.0

1.2

6.0

1.6

7.0

2.8

7.6.0

3.6

8.0

2.6

9.0

1.3

10.0

1.0

From these measurements the resonance curves can
be plotted in a graph depicting the amplitudes
against the motor voltage.

The resonant frequency can be determined by find-
ing the half-width value from the graph.

Resonance curves

1

5

10

15

20

A

[skt]

0

1

2

3

4

5

6

7

8

9

10

I=0,0A

I=0,2A

I=0,4A

I=0,6A

u[v]

3B Scientific GmbH • Rudorffweg 8 • 21031 Hamburg • Germany • www.3bscientific.com • Technical amendments may occur

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