arXiv:2511.09037cs.SDnlin.AO2025-11

研究古钢琴木材老化对音色的影响及双边固定结构的作用

Sound impact of simple viscoelastic damping changes due to aging and the role of the double bentside on soundboard tension in a 1755 Dulcken harpsichord

  • 用FDTD模型模拟琴板老化导致的内阻尼变化
  • 发现低音弦亮度提升,高音弦亮度下降,与预期相反
  • 双边固定结构不影响琴板张力,或另有设计原因

本文基于1755年汉堡应用艺术博物馆收藏的Dulcken古钢琴,利用有限差分时域(FDTD)模型研究木材老化对音色感知的影响。通过在497个位置测量琴板厚度,并以去弦状态下实测的冲激响应估算当前内部阻尼(由T60衰减时间得出),作为模型输入。在8'与4'琴桥共52个弦位上,改变对数阻尼量进行模拟。通过分析模拟冲激响应的频谱质心,评估老化引起的音色亮度变化。结果显示:低音弦亮度随老化上升,高音弦亮度下降,这一反直觉现象源于阻尼的频率依赖性滤波效应。未来研究需引入粘弹性模型进一步区分该效应。此外,采用三维有限元法(FEM)模拟整个乐器,考察8'弦外壁固定这一杜尔肯琴特有构造对琴板张力的影响。结果表明,相比内壁固定,外壁固定未显著改变琴板张力,提示该结构另有设计动因。

原文摘要 · Abstract (English)

The sound perception of wood aging is investigated on a Dulcken harpsichord of 1755 from the Museum of Applied Arts in Hamburg, Germany using a Finite-Difference Time Domain (FDTD) model of the harpsichords soundboard. The soundboard thickness was measured on the instrument at 497 positions during strings being deattached and used in the model. Impulse responses were taken on the instrument to estimate the present internal damping by calculating the T60 decay time and used as a model input. By varying the internal damping from this measured damping as a logarithmic decrement, impulse responses were simulated at 52 string positions on both, the 8' and 4' bridge. To estimate the changed sound brightness due to changed internal damping, spectral centroids were calculated from the simulated impulse responses. A dependency of brightness change due to aging on string position was found, where the lower strings have higher brightness, as expected, while the higher strings have decreased brightness. This counterintuitive finding is caused by the frequency-dependent filter effect of changed damping. Future studies need to incorporate viscoelasticity to differentiate this effect further. Furthermore, the attachment of the 8' string to the outer instead of the inner wall, a characteristic feature of Dulcken harpsichords, is investigated using a 3D Finite-Element Method (FEM) model simulation of the whole instrument. No considerable changes on the soundboard tension were found compared to an attachment of the 8' strings to the inner wall, pointing to another reason for this special construction.

古钢琴音色建模粘弹性声学仿真

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