Centre for Nondestructive Evaluation, Department of Mechanical Engineering, Indian Institute of Technology-Madras, Chennai 600036, Tamil Nadu, India.
J Acoust Soc Am. 2013 Sep;134(3):1886-98. doi: 10.1121/1.4817878.
The influence of bends constituting annular polygonal structures on ultrasonic guided waves propagating along their axis is investigated. Considering a single bend as a bent plate connects this problem to the better-understood physics of guided waves in straight plates. Using a three-dimensional finite element simulation validated with experiments, bends in plates are shown to act as features that can concentrate and guide ultrasonic energy along their length. Two interesting feature-guided modes are identified when the bent plate is subjected to "in-plane" or axial excitation applied uniformly along a through-thickness line bisecting the bent edge. Of these, the faster traveling mode has properties similar to, but travels at group velocities lower than, the S0 (fundamental symmetric) Lamb mode in flat plates. This paper however focuses on the slower bend-guided mode that is similar to the A0 (fundamental anti-symmetric) Lamb mode in flat plates. This mode is shown to be more strongly generated in smaller angle bends where it has a low attenuation. The results are discussed in light of simple modal studies performed using the Semi-Analytical Finite Element method.
研究了构成环形多边形结构的弯曲对沿其轴传播的超声导波的影响。考虑单个弯曲作为弯曲板,将这个问题与直板中导波的更好理解的物理联系起来。通过与实验验证的三维有限元模拟,证明了板中的弯曲可以作为集中和引导超声能量沿其长度的特征。当弯曲板受到沿弯曲边缘的厚度线中点的“面内”或轴向激励时,会出现两种有趣的特征引导模式。其中,较快的传播模式具有与平板中的 S0(基本对称)兰姆模式相似的特性,但传播速度低于其群速度。然而,本文重点介绍了类似于平板中 A0(基本反对称)兰姆模式的较慢的弯曲引导模式。该模式在角度较小的弯曲中更强烈地产生,并且衰减较低。结果根据使用半解析有限元方法进行的简单模态研究进行了讨论。