Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes
Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes
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弯曲波在表现出滞后非线性的非均匀板中的传播：非线性声学黑洞
DOI：
10.1016/j.ultras.2015.04.006
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发表时间：
2015-08-01
期刊：
影响因子：
4.2
通讯作者：
Shen, Zhonghua
中科院分区：
文献类型：
--
作者：
Gusev, Vitalyi E.;Ni, Chenyin;Shen, Zhonghua
建立了考虑微不均匀材料的滞回非线性对连续变厚度板中弯曲波影响的理论。对于厚度随距离边缘幂律增加的楔形体，预测了波动力学随传播距离的强烈变化。结果表明，在大多数表现黑洞现象的楔形体中，非线性吸收随振幅的减小而逐渐消失，导致声波完全衰减。它还表明，黑洞的存在超出几何声学近似。应用包括微观不均匀材料和振动阻尼的无损评估。(C)2015 Elsevier B.V.版权所有。
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.