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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science >Investigation of Lamb waves attenuation in elastic-viscoelastic three-layer adhesive joints in low and high frequencies: Theoretical modeling
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Investigation of Lamb waves attenuation in elastic-viscoelastic three-layer adhesive joints in low and high frequencies: Theoretical modeling

机译：弹性-粘弹性三层粘合接头在低频和高频下的兰姆波衰减研究：理论模型

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摘要

In this paper the attenuation of Lamb waves in three-layer joints, including two elastic plates bonded together by a viscoelastic adhesive layer, is investigated in high and low frequencies using global matrix method. Theoretical boundary value problem in three-layer adhesive joints with perfect bond and traction-free boundary conditions on their outer surfaces is solved to find a combination of frequencies and modes with lowest attenuation. Characteristic equation is derived by applying continuity and boundary conditions in three-layer joints using global matrix method. Attenuation and phase velocity dispersion curves in high and low frequencies are obtained with numerical solution of this equation by a computer code for a three-layer joint, including an aluminum repair patch bonded to the aircraft aluminum skin by a layer of viscoelastic epoxy adhesive. To validate the numerical solution results of characteristic equation, wave structure curves are plotted for a special mode in two different frequencies in the adhesive joint. Also, attenuated displacement amplitude curves in a round-trip of Lamb wave along the adhesive joint are plotted to investigate the reduction of the signal amplitude generated by a single transducer. The purpose of present paper is to find a combination of frequencies and modes with minimum attenuation in high and low frequencies. These frequencies and modes are recognizable by transducers in inspections with Lamb waves because of low attenuation level.
机译：在本文中，使用全局矩阵方法研究了三层接头中的兰姆波的衰减，包括两层由粘弹性粘合剂层粘结在一起的弹性板。解决了三层胶粘剂接头在外表面具有完美粘结和无牵引力边界条件的理论边界值问题，从而找到了衰减最小的频率和模态的组合。通过使用全局矩阵方法在三层接头中应用连续性和边界条件，得出特征方程。该方程的数值解是通过三层接头的计算机代码通过计算机方程式获得的，在高频和低频处的衰减和相速度色散曲线，包括三层通过粘弹性环氧粘合剂粘结到飞机铝蒙皮的铝修补片。为了验证特征方程的数值解结果，绘制了一种特殊模式下在粘合剂接头中两个不同频率下的波结构曲线。此外，绘制了沿粘合接头的兰姆波往返行程中的衰减位移幅度曲线，以研究单个传感器产生的信号幅度的减小。本文的目的是找到在高频和低频中具有最小衰减的频率和模式的组合。这些传感器在兰姆波检查中可以识别出这些频率和模式，因为它们的衰减水平很低。

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