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基于模型对小提琴几何形状和材料对其动力学行为的影响进行排名,突出了几何形状选择的主导地位。

Model based ranking of the influence of geometry and materials on the dynamical behavior of the violin highlights predominance of geometrical choices.

作者信息

Viala Romain, Placet Vincent, Foltête Emmanuel, Cogan Scott

机构信息

ITEMM-Institut Technologique Européen des Métiers de la musique, 71 avenue Olivier MESSIAEN, 72000, Le Mans, France.

Department of Applied Mechanics, Université de Franche-Comté, CNRS, institut FEMTO-ST, F-25000 Besançon, France, 25000, Besançon, France.

出版信息

Sci Rep. 2024 Nov 28;14(1):29589. doi: 10.1038/s41598-024-79497-7.

DOI:10.1038/s41598-024-79497-7
PMID:39609457
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11605094/
Abstract

When considering the vibroacoustical behavior of the family of violin instruments, especially related to their construction, numerous beliefs and theories coexist that are not necessarily compatibles between each other. More specifically, the resulting sound or dynamics of the instrument are associated to tonewood properties and geometry, but with ranking and weights that vary according to beliefs and testimony of makers. This study presents an approach to understanding the relative influence of both geometrical and material properties on the vibrational dynamics of the violin. By conducting a screening analysis, using finite element method based computations of a complete violin, we explore impact of maker's choices during the construction process. The results highlight that the dynamical behavior of the violin is mainly depending on geometrical choices, such as thickness of back and top plate or f-holes shapes, rather than the complete variability of properties of tonewoods. Therefore, the wood selection appears to be a second order effect compared to other luthier's choices, supporting a craftsmanship practice and can pave the way to the use of lower grade woods, which are more in adequacy with what the resource can offer. This work offers new insights that can assist violin makers in optimizing their design choices and adapting to sustainable material use without compromising subsequent behavior.

摘要

在考虑小提琴家族乐器的振动声学行为时,尤其是涉及其构造方面,存在着许多彼此不一定兼容的观念和理论。更具体地说,乐器产生的声音或动态特性与音木的特性和几何形状相关,但根据制琴师的观念和经验,其重要性排序和权重各不相同。本研究提出了一种方法,用于理解几何特性和材料特性对小提琴振动动态的相对影响。通过进行筛选分析,利用基于有限元方法对完整小提琴的计算,我们探究了制琴过程中制琴师选择的影响。结果表明,小提琴的动态行为主要取决于几何形状的选择,如背板和面板的厚度或f孔的形状,而非音木特性的完全变异性。因此,与制琴师的其他选择相比,木材的选择似乎是次要影响因素,这支持了一种制作工艺实践,并可为使用与资源更匹配的低等级木材铺平道路。这项工作提供了新的见解,可帮助小提琴制作师优化其设计选择,并在不影响后续性能的情况下适应可持续材料的使用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/cd7186950a1d/41598_2024_79497_Fig10_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/bf50cd0b0601/41598_2024_79497_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/2811ba1dae03/41598_2024_79497_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/8800578a78bf/41598_2024_79497_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/7af0ef0a155e/41598_2024_79497_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/b3584f770dc9/41598_2024_79497_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/097b/11605094/cd7186950a1d/41598_2024_79497_Fig10_HTML.jpg

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本文引用的文献

1
The impact of alkaline treatments on elasticity in spruce tonewood.碱性处理对云杉音木材弹性的影响。
Sci Rep. 2022 Aug 3;12(1):13335. doi: 10.1038/s41598-022-17596-z.
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A data-driven approach to violin making.基于数据的制琴方法。
Sci Rep. 2021 May 4;11(1):9455. doi: 10.1038/s41598-021-88931-z.
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Eigenfrequency optimisation of free violin plates.自由小提琴面板的固有频率优化
J Acoust Soc Am. 2021 Mar;149(3):1400. doi: 10.1121/10.0003599.
4
The evolution of air resonance power efficiency in the violin and its ancestors.小提琴及其前身的气共鸣功率效率的演变。
Proc Math Phys Eng Sci. 2015 Mar 8;471(2175):20140905. doi: 10.1098/rspa.2014.0905.
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Violin plate modes.小提琴面板模式。
J Acoust Soc Am. 2015 Jan;137(1):139-53. doi: 10.1121/1.4904544.
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Rep Prog Phys. 2014 Nov;77(11):115901. doi: 10.1088/0034-4885/77/11/115901. Epub 2014 Oct 27.
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Proc Natl Acad Sci U S A. 2014 May 20;111(20):7224-9. doi: 10.1073/pnas.1323367111. Epub 2014 Apr 7.
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