A violin shell model: vibrational modes and acoustics.
A violin shell model: vibrational modes and acoustics.
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小提琴外壳模型：振动模式和声学。
DOI：
10.1121/1.4913458
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发表时间：
2015
影响因子：
2.4
通讯作者：
C. Gough
中科院分区：
文献类型：
--
作者：
C. Gough
一个通用的物理模型的振动声学模式的小提琴处理的身体外壳作为一个浅，薄壁，吉他形，双拱形的顶部和背部板盒结构。使用COMSOL有限单元壳结构软件来识别和理解简单建模的小提琴的振动模式。这确定了自由支撑板模式之间的关系，当耦合在一起的肋和组装的车身外壳的模式。这样的耦合结果在一个相对较少的本征模式或组件壳模式，其中一个单一的体积变化的呼吸模式被证明是负责几乎所有的声音辐射在101 kHz以下的小提琴，无论是直接或由亥姆霍兹f孔共振的激励的签名模式制度。计算描述了材料特性、阻尼、板厚、弹性各向异性、顶板中的f孔、阻尼杆、与内部空气模式的耦合、刚性琴颈指板组件以及最重要的声柱对这些模式的影响。由于壳模式在很大程度上取决于吉他形身体的对称性，该模型适用于所有的小提琴家庭的文书。
A generic physical model for the vibro-acoustic modes of the violin is described treating the body shell as a shallow, thin-walled, guitar-shaped, box structure with doubly arched top and back plates. comsol finite element, shell structure, software is used to identify and understand the vibrational modes of a simply modeled violin. This identifies the relationship between the freely supported plate modes when coupled together by the ribs and the modes of the assembled body shell. Such coupling results in a relatively small number of eigenmodes or component shell modes, of which a single volume-changing breathing mode is shown to be responsible for almost all the sound radiated in the monopole signature mode regime below ∼1 kHz for the violin, whether directly or by excitation of the Helmholtz f-hole resonance. The computations describe the influence on such modes of material properties, arching, plate thickness, elastic anisotropy, f-holes cut into the top plate, the bass-bar, coupling to internal air modes, the rigid neck-fingerboard assembly, and, most importantly, the soundpost. Because the shell modes are largely determined by the symmetry of the guitar-shaped body, the model is applicable to all instruments of the violin family.