弓形变化造成的小提琴音色差异

Jesús Alejandro Torres
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引用次数: 0

摘要

小提琴音箱中的拱形轮廓对振动声学的影响是通过实验校准的数值模型进行研究的,而这一研究仅通过实验手段是无法实现的。有限元方法利用实际小提琴的材料特性成功地建立了音箱模型,尽管对音腔中空气的耦合和琴弦的作用力进行了简化。为了实现与真实小提琴的一致,有必要对模拟中的模态阻尼进行仔细调整。带有阻尼的小提琴模型并不多见。音箱模型的脉冲响应是通过计算数以千计的强迫振动引起的子步进获得的。为了简化时域分析,采用了叠加法而不是更常用的全选法,从而大大减少了计算时间。此外,还采用了合成音符作为音箱模型的输入,以反映琴弦的力量是如何通过琴桥传递的。随后,脉冲响应与合成音符卷积,产生声音。通过这些程序,随着琴板拱形轮廓高度的调整,小提琴的性能也得到了评估。结果表明,拱形轮廓越高,小提琴的共振频率就越高,这在模型产生的声音中是可以感觉到的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Differences in violin sounds caused by changes on arching profiles
An experimentally calibrated numerical model was employed to examine the vibroacoustic impact of the arching profile in a violin soundbox, a study unattainable through experimental means alone. The finite element method successfully modeled the soundbox using the material properties of an actual violin, albeit with a simplified representation of the coupling with the air in the cavity and the forces from the strings. Achieving agreement with the real counterpart necessitated careful adjustment of the modal damping in the simulation. Damped models of violins are infrequently encountered. The impulse response of the soundbox model was obtained through the calculation of thousands of substeps induced by forced vibration. To streamline the time-domain analysis, the superimposed method was implemented instead of the more commonly used full option, resulting in a significant reduction in computational time. Additionally, synthetic musical notes, accounting for how the force of the strings is transmitted through the bridge, were employed as input to the soundbox model. Subsequently, the impulse responses were convolved with the synthetic notes to generate sounds. Through these procedures, the violin’s performance was assessed as the height of the arching profile of the plates was adjusted. The results demonstrated that higher arching profiles led to a general increase in the resonant frequencies of the violin, perceptible in the sound generated by the model.
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