In this paper, Resonance Ultrasound Spectroscopy (RUS) is used to invert the elastic properties of components with complex shapes from a limited selection of mode matched frequencies. RUS is based on the unique relationship between the vibrational resonance response (resonance frequencies and mode shapes) of a component and its set of material properties, geometry, and boundary conditions. The study is conducted on 3 nominally identical components that have geometric imperfections due to the manufacturing process. The study reveals that an accurate characterization of the shape is critical to the success of the RUS process. The RUS process presented in this paper also relies on matching measured and computed vibrational mode shapes, in addition to the resonance frequencies. This strategy enables using high-order modes with complex modal information, in a frequency range with high modal density where modal identification based on the resonance frequencies alone would be challenging. This approach contrasts with the traditional approach of matching a number of resonance frequencies in sequential order. With the proposed approach, the elastic constants for the three components are similar, consistent with values found in the literature, and lead to small error of the RUS inversion, despite variations in the shapes and the resulting changes in the resonance response of the components.

在本文中，共振超声光谱（RUS）用于从有限的模式匹配频率选择中反转具有复杂形状的组件的弹性特性。RUS基于组件的振动共振响应（共振频率和振型）与其材料特性，几何形状和边界条件集之间的独特关系。这项研究是针对3个名义上完全相同的组件进行的，这些组件由于制造过程而存在几何缺陷。研究表明，形状的准确表征对于RUS工艺的成功至关重要。除共振频率外，本文提出的RUS过程还依赖于匹配的测量和计算的振动模式形状。这种策略可以在具有高模式密度的频率范围内使用具有复杂模式信息的高阶模式，而仅基于共振频率的模式识别将具有挑战性。该方法与按顺序匹配多个谐振频率的传统方法形成对比。使用所提出的方法，三个组件的弹性常数相似，与文献中发现的值一致，并且尽管形状发生变化并导致组件的共振响应发生变化，但导致RUS反演的误差很小。该方法与按顺序匹配多个谐振频率的传统方法形成对比。使用所提出的方法，三个组件的弹性常数相似，与文献中发现的值一致，并且尽管形状发生变化并导致组件的共振响应发生变化，但导致RUS反演的误差很小。该方法与按顺序匹配多个谐振频率的传统方法形成对比。使用所提出的方法，三个组件的弹性常数相似，与文献中发现的值一致，并且尽管形状发生变化并导致组件的共振响应发生变化，但导致RUS反演的误差很小。