Kundu Tribikram, Das Samik, Jata Kumar V
Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, Arizona 85721, USA.
J Acoust Soc Am. 2007 Oct;122(4):2057-66. doi: 10.1121/1.2775322.
It is shown in this paper that the conventional triangulation technique is not very reliable for locating the impact point even in isotropic plates when the sensors are placed close to the point of strike for two reasons: First, it is difficult to pinpoint the exact time of arrival of the signal and, second, the Lamb modes in a plate are dispersive. Dispersive signals attenuate differently at various frequencies and propagate with different speeds causing distortions in the received signals, and thus introduce error in the time of flight measurement. The triangulation technique assumes that wave speeds in all directions are the same, which is not true for anisotropic plates. Here an alternative approach based on an optimization scheme is proposed to locate the point of impact in isotropic and anisotropic plates. A formulation is presented for the general anisotropic case. Experiments are carried out with an aluminum plate by dropping balls on the plate and picking up acoustic signals at different locations. The impact points predicted by the conventional triangulation technique and the proposed modified method are compared for this isotropic plate. Then it is investigated how the prediction would change if the plate is assumed to have some anisotropy.
本文表明,传统的三角测量技术即使在各向同性板中,当传感器靠近撞击点放置时,也不太可靠地定位撞击点,原因有两个:第一,很难精确确定信号到达的确切时间;第二,板中的兰姆波是色散的。色散信号在不同频率下衰减不同,传播速度也不同,导致接收到的信号失真,从而在飞行时间测量中引入误差。三角测量技术假设所有方向的波速相同,这对于各向异性板来说是不正确的。这里提出了一种基于优化方案的替代方法来定位各向同性和各向异性板中的撞击点。给出了一般各向异性情况的公式。通过在铝板上掉落球并在不同位置拾取声学信号来进行实验。针对这种各向同性板,比较了传统三角测量技术和所提出的改进方法预测的撞击点。然后研究了如果假设板具有一定的各向异性,预测会如何变化。