Acoustics And Architecture by Paul. E Sabine

By Paul. E Sabine

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Resonance. We have considered somewhat at length the onedimensional case of a sound wave in a tube with reflecting If we extend the two dimensions which are at right ends. to the axis of the tube, the tube becomes a room, and angles the character of the standing wave system becomes much more complicated. We no longer assume that the particle motion occurs in a single direction parallel to the axis of the tube. As a result, the simple distribution of nodes and loops in the one-dimensional case gives place to an intricate pattern of sound intensities, a pattern which may be radically altered by even slight changes in the position of reflecting surfaces in the room and of the source of sound.

Of the fork FIG. 14, by means Record of of a rheostat in the circuit. sound amplitude at different points in a room. The intensity pattern was explored by means of a traveling telephone receiver associated with a resonator mounted on a horizontal arm, supported by a vertical shaft, which was driven at a chronograph uniform speed by means of a weight-driven drum belted to the vertical shaft. The exploring telephone was supported by a carriage which was pulled along the horizontal shaft by a cord wound up on a fixed sleeve around the vertical shaft as the latter turned.

This " distribution within a room is called the sound pattern " " or the interference pattern," and the variation of intensity from point to point within rooms with reflecting walls is one of the chief sources of difficulty in making indoor acoustical measurements. Stationary Wave in a Tube. We may clarify our ideas as to the general sort of thing taking place with sound in an inclosed space by a detailed elementary study of the one-dimensional case of a plane wave within a tube closed at one end by a perfectly reflecting surface, that is, a surface at which none of the energy of the wave is dissipated or transmitted to the stopping barrier This condition is equivalent to in the process of reflection.

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