We propose an efficient semi-analytical method capable of modeling the propagation of flexural waves on cracked plate structures with any forms of excitations, based on the same group of vibration characteristics and validated by a non-contact scanning Laser Doppler Vibrometer (LDV) system. The proposed modeling method is based on the superposition of the vibrational normal modes of the detected structure, which can be applied to analyze long-time and full-field transient wave propagations. By connecting the vibration-based transient model to a power flow analysis technique, we further analyze the transient waves on a cracked plate subjected to different excitation sources and show the influence of the damage event on the path of the propagating waves. The experimental results indicate that the proposed semi-analytical method can model the flexural waves, and through that, the crack information can be revealed.

中文翻译：

---

使用时间振动特性对具有任意激励的损坏板上的全场瞬态弯曲波进行建模

我们提出了一种有效的半解析方法，该方法能够基于同一组振动特性并通过非接触式扫描激光多普勒测振仪 (LDV) 系统验证，在任何形式的激励下模拟弯曲波在裂纹板结构上的传播。所提出的建模方法基于被检测结构的振动正常模式的叠加，可用于分析长时间和全场瞬态波的传播。通过将基于振动的瞬态模型与潮流分析技术相结合，我们进一步分析了裂纹板上在不同激励源作用下的瞬态波，并显示了损伤事件对传播波路径的影响。