ピアノ弦における縦振動とひなり音 : 有限要素法によるピアノ弦及び響板の振動解析(II)

抄録

The longitudinal displacements of a point on a piano string changing with time immediately after hammering are calculated, together with the transverse displacements, using the finite element method. This method assumes that the string is elastic and completely flexible with small mass points and a large mass point of the sound board on it. From equations (1)〜(6) and Fig. 1, the values of transverse and longitudinal displacements changing with time at any point of the string immediately after hammering may be calculated (Figs. 2, 3, 4). It is found from the analysis that the longitudinal vibration generated in the string causes the sound board to produce an inharmonic tone of high frequency (Fig. 5).