分层固体板中导波的激发与频散特性

发布时间：2018-06-23 23:19

本文选题：导波 + 频散特性　；参考：《声学学报》2017年01期

【摘要】：针对无限大弹性分层固体板,研究了结构中导波的频散和激发特性。首先使用传递矩阵法推导分层板模型中导波的频散方程,然后用二分法求取导波各模式的频散曲线,进而分析结构中导波的频散特性。结果表明:在速度递增或递减的分层板中,基阶模式和高阶模式的高频极限分别等于低速层的瑞利波速和横波波速。对于含低速夹层的分层板,所有模式的高频极限都等于低速层的横波速度。在导波激发特性方面,研究了在具有一定宽度的法向力源作用下的分层板中导波各模式在结构中的法向位移谱。发现在速度递增的分层板结构中基阶模式是主导模式,而对于速度递减和含低速夹层模型,主导模式在不同的频段范围内对应不同的导波模式。
[Abstract]:The dispersion and excitation characteristics of guided waves in an infinite elastic layered solid plate are studied. The dispersion equation of guided wave in the delamination plate model is derived by transfer matrix method, then the dispersion curve of each mode of guided wave is obtained by dichotomy, and the dispersion characteristic of guided wave in the structure is analyzed. The results show that the high frequency limit of the base mode and the high order mode are equal to the Rayleigh wave velocity and the shear wave velocity of the low speed layer respectively in the delaminated plate with increasing or decreasing velocity. For laminated plates with low interlayer, the high frequency limit of all modes is equal to the shear wave velocity of low speed layer. In terms of the excitation characteristics of guided waves, the normal displacement spectra of guided wave modes in a layered plate with a certain width of normal force source are studied. It is found that the basic mode is the dominant mode in the layered plate structure with increasing velocity, while for the velocity decreasing model and the low velocity intercalation model, the dominant mode corresponds to different guided wave modes in different frequency range.
【作者单位】：中国科学院声学研究所声场声信息国家重点实验室;
【基金】：国家自然科学基金项目(11374324,11474308)资助
【分类号】：O422

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