By Axel Michelsen
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Additional info for The Physiology of the Locust Ear (I-III)
At 5kHz the holographic picture may be very similar to that at 4kHz (Fig. 13), but in one preparation the picture of Fig. 15 was obtained. The nature of this vibration is discussed below. 5 kHz the vibration is dominated by the second mode of the thin membrane (Fig. 14). This vibration is well suited for detailed measurements with the capacitance electrode, since its interactions with the entire-membrane vibrations seem to be minimal. The position of the nodal circle at different frequencies could be determined by placing the electrode at different positions on the membrane and gradually increasing the sound frequency.
0 ~;g ..... $2 ~':;( 05 . ~E >::t_ lJ.. :: 2·103 L-~~-L~--L-~~~~--L-~~~~--L-~~~10 3 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 FREQUENCY OF SOUND (kHz) Fig. 9. Expected amplitude of vibration (below) and phase lag (above) for the centre of the thin membrane. The peak-peak amplitudes indicated in 11-m to the left are valid for the isolated ear at a sound level of 100 dB. The scale to the right gives the amplitudes as 1J wjF. The resonance ~requencies are not quite correct, since the effective mass was kept constant (see the text) The phase lags computed for points elsewhere on the membrane show an increase similar to that of Fig.
These equations do not apply to the higher modes of membranes, but they are almost valid for the fundamental mode of vibration, if some corrections are made: The values of em, m, and R cannot be used directly in the equations for simple oscillators (see Morse, 1948). Thus, the value of f0 for the thin membrane calculated from Eq. 4 kHz found by means of Eq. (3). Therefore, if the determined value of em is used in Eq. 38 times the real mass. Similarly, the value of R used in Eq. (10) will depend on the part of the membrane considered, because the membrane-unlike a simple oscillator-does not vibrate with a uniform amplitude of motion.
The Physiology of the Locust Ear (I-III) by Axel Michelsen