Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. II. Physical interpretation and numerical results
Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. II. Physical interpretation and numerical results
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DOI：
10.1063/1.4879460
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发表时间：
2014-06
影响因子：
3.2
通讯作者：
Yang Liu;E. Khajeh;C. Lissenden;J. Rose
中科院分区：
文献类型：
--
作者：
Yang Liu;E. Khajeh;C. Lissenden;J. Rose
为了激发一个主要的弯曲模式，这反过来又产生高次谐波，由于非线性材料行为的弹性波传播的空心圆柱体的板射线透视。散射角是由两个准直波相互作用产生的内共振高次谐波确定的。主波，可以产生强烈的累积高次谐波被确定为模式自相互作用和相互作用。设计了一种螺旋叉指换能器，用于激励单一主导弯曲模式。数值计算表明，累积二次谐波产生的扭转和纵向弯曲波进行。观察到的两个主要的扭转弯曲波模式之间的相互作用的二次和差谐波产生。
A plate ray perspective for elastic wave propagation in hollow circular cylinders is presented in order to excite a predominant flexural mode, which in turn generates higher order harmonics due to nonlinear material behavior. The scattering angles are determined for the internally resonant higher order harmonics due to the interactions of two collimated waves. Primary waves that can generate strongly cumulative higher order harmonics are identified for mode self interactions and mutual interactions. A helical inter-digital transducer has been designed for the excitation of a single dominant flexural mode. Numerical evaluations that demonstrate cumulative second harmonic generation are undertaken for both torsional and longitudinal flexural waves. Quadratic sum and difference harmonic generation is observed for the mutual interaction between two primary torsional flexural wave modes.