We analyze the modal response of the top plates of archtop guitars using free boundary conditions. Starting from the three-dimensional scan of a real archtop guitar, we build a mesh of its top plate using a non-invasive process. Once the mesh of the plate is built, we compute its vibrational response by finite element method simulations and perform many different analyses. The outer surface of the mesh matches the scan, while we retain the freedom to control the shape of the inner surface. This way we can change some of its aspects (e.g., thickness distribution) depending on what we intend to study. We investigate the similarities of its mode shapes with those of similar instruments (e.g., violin and classical guitar), analyze the carving process of the plate's inner surface and study the influence of resonant holes on its final vibratory response.

中文翻译：

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自由拱顶吉他顶板的模态分析

我们使用自由边界条件分析了拱顶吉他顶板的模态响应。从真正的拱顶吉他的 3D 扫描开始，我们使用非侵入性过程构建其顶板的网格。一旦构建了板的网格，我们就通过有限元方法模拟计算其振动响应并执行许多不同的分析。网格的外表面与扫描相匹配，而我们保留控制内表面形状的自由。通过这种方式，我们可以根据我们打算研究的内容改变它的某些方面（例如，厚度分布）。我们研究了它的振型与类似乐器（如小提琴和古典吉他）的振型的相似性，分析了板的雕刻过程