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首页> 外文期刊>The Journal of the Acoustical Society of America >Guided waves energy velocity in absorbing and non-absorbing plates
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Guided waves energy velocity in absorbing and non-absorbing plates

机译：吸收板和非吸收板中的导波能量速度

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摘要

This paper presents a study of the velocity of the propagation of energy in guided waves in plates. The motivation of the work comes from the practical observation that the conventional approach to predicting the velocities of pulses or wave packets, that is, the simple group velocity calculation, breaks down when the guided waves are attenuative. The conventional approach is therefore not valid for guided waves in absorbing materials or for leaky waves. The paper presents a theoretical derivation of an expression to predict the energy velocity of guided waves in an isotropic plate, based on the integration of the Poynting energy vectors. When applied to modes with no attenuation, it is shown analytically from this expression that the energy velocity is always identical to the group velocity. On the other hand, when applied to attenuative modes, numerical integration of the expression to yield the true energy velocity shows that this can differ quite significantly from the group velocity. Experimental validation of the expression is achieved by measuring the velocity of wave packets in an absorbing plate, under such conditions when the energy velocity differs substantially from the group velocity. Excellent agreement is found between the predictions and the measurements. The paper also shows the Poynting vectors in the various model studies, and some interesting phenomena relating to their directions.
机译：本文介绍了板中导波中能量传播速度的研究。该工作的动机来自实际观察，即当导波衰减时，用于预测脉冲或波包速度的常规方法（即简单的群速度计算）会崩溃。因此，常规方法对于吸收材料中的导波或泄漏波无效。本文基于Poynting能量矢量的积分，给出了用于预测各向同性板中导波能量速度的表达式的理论推导。当将其应用于无衰减模式时，从该表达式分析可知，能量速度始终与组速度相同。另一方面，当将其应用于衰减模式时，表达式的数值积分产生了真实的能量速度，表明该速度可能与组速度有很大差异。在能量速度与群速度明显不同的这种条件下，通过测量吸收板中波包的速度，可以对该表达式进行实验验证。在预测和测量之间发现极好的一致性。本文还显示了各种模型研究中的Poynting向量，以及与它们的方向有关的一些有趣现象。

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