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Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes

机译:弯曲波在显示迟滞非线性的非均质板中的传播:非线性声学黑洞

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摘要

Theory accounting for the influence of hysteretic nonlinearity of micro-inhomogeneous material on flexural wave in the plates of continuously varying thickness is developed. For the wedges with thickness increasing as a power law of distance from its edge strong modifications of the wave dynamics with propagation distance are predicted. It is found that nonlinear absorption progressively disappearing with diminishing wave amplitude leads to complete attenuation of acoustic waves in most of the wedges exhibiting black hole phenomenon. It is also demonstrated that black holes exist beyond the geometrical acoustic approximation. Applications include nondestructive evaluation of micro-inhomogeneous materials and vibrations damping. (C) 2015 Elsevier B.V. All rights reserved.
机译:建立了考虑微观非均质材料的滞后非线性对连续变化厚度的板中的弯曲波的影响的理论。对于厚度随着距离其边缘的幂律而增加的楔形,预测了波浪动力学随传播距离的强烈变化。发现非线性吸收随着波振幅的减小而逐渐消失,从而导致大部分呈现黑洞现象的楔形声波完全衰减。还证明了黑洞存在于几何声学近似之外。应用包括微不均匀材料的非破坏性评估和振动阻尼。 (C)2015 Elsevier B.V.保留所有权利。

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