论文标题
计算不规则物体的机械共振的快速方法
Rapid Method for Computing the Mechanical Resonances of Irregular Objects
论文作者
论文摘要
固体对象的几何形状，密度和弹性模量完全确定了其正常模式的光谱。解决逆问题 - 确定材料的弹性模量给定一组共振频率和样品几何形状 - 取决于能够准确有效地计算谐振光谱的能力。计算这些光谱的已建立方法要么快，但限于简单的几何形状，或者适用于任意形状的样品，以其速度降低的成本。在这里，我们描述了一种使用完全开源软件快速计算不规则形状对象的正常模式的方法。我们的方法的准确性与现有方法的简单几何形状相比，对现有几何方法的速度显着提高。
A solid object's geometry, density, and elastic moduli completely determine its spectrum of normal modes. Solving the inverse problem - determining a material's elastic moduli given a set of resonance frequencies and sample geometry - relies on the ability to compute resonance spectra accurately and efficiently. Established methods for calculating these spectra are either fast but limited to simple geometries, or are applicable to arbitrarily shaped samples at the cost of being prohibitively slow. Here, we describe a method to rapidly compute the normal modes of irregularly shaped objects using entirely open-source software. Our method's accuracy compares favorably with existing methods for simple geometries and shows a significant improvement in speed over existing methods for irregular geometries.
