Normal Vibration Frequencies of a Stiff Piano String
Normal Vibration Frequencies of a Stiff Piano String
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硬钢琴弦的正常振动频率
DOI：
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发表时间：
1964
期刊：
影响因子：
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通讯作者：
H. Fletcher
中科院分区：
文献类型：
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作者：
H. Fletcher
本文研究了刚性钢琴弦的简正振动模态。控制实心弦振动的方程是沿着沿着传统的路线发展的。它们被修改为适用于具有实心钢芯的弦，在实心钢芯上缠绕一个或两个铜绕组。大多数钢琴的低音弦都是这样做的。考虑了两种边界条件：（1）两端被锋利的刀刃钉扎，（2）两端被夹紧。这两种情况下的部分频率的公式开发。用这些公式计算的部分频率与在直立汉密尔顿钢琴上得到的实验值进行了比较。实验值似乎与固定边界条件而不是固支边界条件更好地吻合，尽管差异并不比观测误差大得多。发现公式fn = nf 1 [（1 +; Bn 2）/（1 + B）]12给出的分频率值与...
This paper deals with the normal modes of vibration of a stiff piano string. The equations that govern the vibration of a solid string are developed along traditional lines. They are modified to apply to strings having a solid‐steel core upon which are wrapped one or two copper windings. The bass strings of most pianos are made this way. Two boundary conditions are considered: namely, (1) pinned by sharp knife edges at both ends and (2) clamped at both ends. Formulas for the partial frequencies for both of these conditions are developed. The partial frequencies that are calculated by these formulas are compared to the experimental values obtained on an upright Hamilton piano. The experimental values appear to agree somewhat better with the pinned boundary condition rather than the clamped boundary condition, although the differences are not much greater than the observational error. It was found that the formula fn = nf1[(1 plus; Bn2)/(1 + B)]12 gives values of the partial frequencies that agree with the ...