This paper contains the following three topics:
1. Acoustic tube suspending fibrous matters.
2. Acoustic rubber tube.
3. Acoustic wave filter.
1. Acoustic tube suspending fibrous matters:- Much work has been done on hair felt and also on some other materials of similar nature from the foint of view of sound absorbers, but there have been scarecely found the experiments which could determine the mechanism of propagation of sound in them. It is due to the fact that these substances possess very small acoustic impedances which are extremely difficult to measure. The author has made an experiment on the acoustic constants of hair felt by means of measuring acoustic impedance by a direct method called the "stationary wave method". In this section, the theory of the method and the arrangements of experiments are described in detail and the experimental results are given.
2. Acoustic rubber tube:- Acoustic impedances of a rubber tube were measured in two ways, that is, by the vibrometer method and by the "Stationary wave method." Both are described together, in order to compare them each other and to show that the vibrometer also gives satisfactory results for the measurement of small acoustic impedances when it is used in connetion, with an idealized acoustic transformer of high ratio of transformation and high primary stiffness. From the experimental results, it is pointed out that.
(a) the air column bounded by such a wall offers a considerable increase in attenuation and change in velocity of propagation at the important band of audio frequency; and
(b) the effect of the wall can be considered simply as such that the wall affects the vibration of the air column by adding only a certain linear admittance, which is similar to the admittance of an electric circuit in which a resistance, self-inductance and capacity are connected in series. This fact suggests us that the wall can be considered as a train of elementary rings which are able to vibrate independently respect to the others, and this is ascertained by good coincidence of the values both obtained by the measurement of acoustic impedances and by the computation using the material constants of the wall measured by means of a statical method.
3. Acoustic wave filters:- On the acoustic wave filters, much work has been done by G. W. Stewart and others. But the relations between the dimensions of filter, and image impedance and cut-off frequencies, which are of the utmost importance for the purpose of design, have not been manifested, while the electrical wave filters have been studied much more in detail. The acoustic wave filters can be constructed in consideration of the given image impedance and cut-off frequencies in the same way as the electrical wave filters as long as the equivalency is held between them. If, however, they were constructed with a tube system, as in the ordinary manner, a certain criterion, besides the image impedance and cut-off frequencies, must be introduced in order to determine the dimensions of them. It is proposed, here, as this criterion that the change of distribution of constants in the tube system due to change of cross section must be kept to an extremely small amount in a wide range of frequencies. Some details and experimental results are given for a 1400 cycle low-pass filter, as an example, designed from this point of view.
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