発音機構のシミュレーション : ピアノの音響学的研究第2報

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The mechanism of sound generation on the piano can be divided into four stages:-(a) transmission of energy from a hammer to a set of strings, (b) propagation of energy in the strings, (c) transition of energy from the strings to the sound board through the bridge, and (d) acoustic radiation of the energy from the soundboard. This process is represented by an electrical circuit model, each string being represented by a transmission line, and the quantitative relationship of the model are calculated by a computer. When a hammer strikes a string, a nearly half-sinusoidal pulse is generated, and this propagates along the transmission line, and then is reflected by the impedances of the bridge and the fixed end of the string. The propagation and reflection change the waveform of the initial pulse and reduce its amplitude. The driving velocity of the soundboard is produced by applying the sum of the forces of all the strings to the drivingpoint impedence. This driving velocity produces a sound pressure, and its waveform is determined by the transmission characteristics of the soundboard. An artificial piano sound can be produced from a calculated waveform through a D-A converter. When the fundamental frequency of each string in a set is slightly detuned, they produce beats in each partial making an inharmonic sound. The lower partials in the produced sound change relatively slowly , while the higher partials change relatively rapidly. The amplitude of the initial part of the sound('initial sound')decays rapidly, while that of the sustained part('aftersound')decays slowly. This explains how a delicate timbre of the piano sound is prodeced.
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発音機構のシミュレーション : ピアノの音響学的研究第2報

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発音機構のシミュレーション : ピアノの音響学的研究 第2報

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発音機構のシミュレーション : ピアノの音響学的研究第2報