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Chapter 6: Impedance measurements

Chapter 6: Impedance measurements

Chapter 6: Impedance measurements

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Acoustic impedance <strong>measurements</strong><br />

Output [V]<br />

1<br />

0,1<br />

R=1<br />

0,01<br />

0,001<br />

0,0001<br />

0,00001<br />

R=0<br />

100 1k 10k<br />

Frequency [Hz]<br />

Fig. 6.71: Velocity output of the three steps. Upper (Black R=1) line: output close to a fully<br />

reflecting plate, middle (grey) line: output close to the acoustic material, lower (black R=0) line:<br />

anechoic output.<br />

Step 3: measurement of acoustic sample<br />

If the setup is placed close (and r 1 =r 2 ) to a sound absorbing plate the<br />

particle velocity that is measured equals:<br />

Q ikr + 1<br />

u R e<br />

2 ikr2<br />

R<br />

= (6.47)<br />

2<br />

4π<br />

r2<br />

The results of the three <strong>measurements</strong> are shown in Fig. 6.71.<br />

The ratio between the anechoic reference response (step 1) and the<br />

response on fully reflecting plate (calibration measurement) is called the<br />

quality. This ratio gives the maximal dynamic measurement range of the<br />

method. A high ratio means that the zero adjustment of the particle velocity<br />

sensor versus point source is done well. The quality is shown in Fig. 6.72.<br />

Quality [dB]<br />

40<br />

absorption [-]<br />

1,0<br />

20<br />

0,5<br />

0,0<br />

0<br />

100 1k 10k<br />

Frequency [Hz]<br />

100 1k 10k<br />

Frequency [Hz]<br />

Fig. 6.72: Quality of the zero adjustment in the mirror source technique. Fig. 6.73:<br />

Absorption coefficient of a sample obtained with the mirror source technique.<br />

The reflection coefficient of the measurement method is derived from the<br />

ratio of the measurement on the acoustic material and the calibration<br />

measurement (the measurement on the fully reflecting plate). Note that the<br />

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