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Towards model-based approaches for musical instruments making: validation of the model of a Spanish guitar soundboard and characterization features proposal
Applied Acoustics ( IF 3.4 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.apacoust.2020.107591
Romain Viala , Marco A. Pérez , Vincent Placet , Antonio Manjón , Emmanuel Foltête , Scott Cogan

Abstract Nowadays, the virtual prototyping method is widely used for industrial applications and can lead to a powerful tool for musical instruments making and conservation. Nevertheless, physics-based models of musical instruments are barely developed for this purpose and the confrontation between model predictions and experiments have been the focus of very few researches. The objective of this paper is to highlight the predictive capability of physics-based models in vibratory domain, even in presence of variable by nature material and climatic conditions. To this end, a finite element model of the soundboard of a Spanish guitar is developed for model validation purposes. The simulated modal bases are compared with experimental ones from a previous study. Screening and stochastic analyses are performed to rank which are, among material and climatic parameters, the most influential ones on the dynamics of guitar soundboard. Moreover, uncertainties are taken into account to evaluate the dispersion of the response for a given design, and simulations are validated facing experimental data. It is shown that specific elastic parameters of the wood (in longitudinal and radial directions and longitudinal-radial plane) of the top plate are mainly influential with regard to the dynamics of the soundboard, and the relative humidity changes have a non negligible impact. Moreover, test-model correlations have shown that a nominal model with average material parameters is able to predict the vibratory behaviour of a real braced soundboard with an average error on the first eight eigenfrequencies lower than 4%. In addition, when uncertainties are taken into account, the model is able to predict every experimental data. Finally, dynamic features like CFDAC and Fuzzy-FRF are proposed in an innovative way in this application domain.

中文翻译:

迈向基于模型的乐器制作方法:西班牙吉他音板模型的验证和特征特性提案

摘要 如今,虚拟样机方法被广泛应用于工业应用,是乐器制作和保护的有力工具。然而,基于物理的乐器模型几乎没有为此目的而开发,模型预测和实验之间的对抗一直是很少研究的重点。本文的目的是强调基于物理的模型在振动领域的预测能力,即使存在自然材料和气候条件的变量。为此,开发了西班牙吉他音板的有限元模型以用于模型验证。模拟的模态基础与先前研究中的实验基础进行了比较。进行筛选和随机分析以对以下内容进行排名,在材料和气候参数中,对吉他音板的动态影响最大。此外,还考虑了不确定性来评估给定设计的响应离散度,并通过实验数据验证模拟。结果表明,顶板木材的特定弹性参数(纵向和径向以及纵向-径向平面)主要影响音板的动力学,相对湿度变化具有不可忽略的影响。此外,测试模型相关性表明,具有平均材料参数的标称模型能够预测前八个特征频率的平均误差低于 4% 的真实支撑音板的振动行为。此外,当考虑到不确定性时,该模型能够预测每个实验数据。最后,在该应用领域以创新的方式提出了 CFDAC 和 Fuzzy-FRF 等动态特征。
更新日期:2021-01-01
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