横观各向同性圆柱中激光诱导的零群速度共振
Laser induced Zero-Group Velocity resonances in Transversely Isotropic cylinder
AI总结：
本文针对激光冲击下钢圆柱的共振谱预测问题，采用横观各向同性模型计算频散曲线，并通过调整五个弹性常数实现了对零群速度共振频率的准确识别。
摘要：
本文研究了弹性圆柱体对激光冲击的瞬态响应。当激光源为垂直于圆柱轴线的线源时，会激发沿圆柱传播的导波模式。对于毫米级钢圆柱，在8 MHz以下可通过激光干涉法在局部检测到多达十个窄共振。这些共振大部分对应于零群速度导波模式，少数可归因于厚度模式。我们观察到，描述各向同性圆柱中弹性波传播的理论不足以精确预测共振谱。实际上，这种细长结构的织构表现为弹性各向异性。因此，采用横观各向同性（TI）模型计算频散曲线，并与通过沿圆柱移动激光源所测得的频散曲线进行比较。通过调整TI圆柱的五个弹性常数，使测量频散曲线与理论频散曲线之间取得了良好的一致性。随后，所有共振频率均得到了令人满意的识别。
英文摘要：
The transient response of an elastic cylinder to a laser impact is studied. When the laser source is a line perpendicular to the cylinder axis, modes guided along the cylinder are generated. For a millimetric steel cylinder up to ten narrow resonances can be locally detected by laser interferometry below 8 MHz. Most of these resonances correspond to Zero-Group Velocity guided modes while a few others can be ascribed to thickness modes. We observe that the theory describing the propagation of elastic waves in an isotropic cylinder is not sufficient to precisely predict the resonance spectrum. In fact, the texture of such elongated structure manifest as elastic anisotropy. Thus, a transverse isotropic (TI) model is used to calculate the dispersion curves and compare them with the measured one, obtained by moving the source along the cylinder. The five elastic constants of a TI cylinder are adjusted leading to a good agreement between measured and theoretical dispersion curves. Then, all the resonance frequencies are satisfactorily identified.
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