| 分层固体板中导波的激发与频散特性 |
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| 引用本文： | 张超,阎守国,张碧星,师芳芳.分层固体板中导波的激发与频散特性[J].声学学报,2017,42(1):85-94. |
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| 作者姓名： | 张超 阎守国 张碧星 师芳芳 |
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| 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 北京 100190 |
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| 基金项目： | 国家自然科学基金项目(11374324,11474308)资助 |
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| 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。
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| 关 键 词： | 分层板 导波 频散曲线 激发特性 |
| 收稿时间： | 2015-07-21 |
The excitation and dispersion properties of guided waves in multi-layered plates |
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| Affiliation: | State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences Beijing 100190 |
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| Abstract: | The dispersion and excitation mechanisms of the guided waves in multi-layered plates are studied. Firstly, the dispersion equation is obtained by the propagator matrix method. Then, the bisection technique is employed to find all the roots of the dispersion function. The dispersion characteristics of the guided waves are investigated and analyzed. It is found that the velocity limits in high frequency of the first and high modes are equal to the Rayleigh wave and S wave velocities of the low-velocity layer respectively for the multilayered plates in which the S wave velocity increases or decreases from the top to bottom. It is also found that the velocity limit in high frequency of all modes is equal to the S wave velocity of the low-velocity layer for the plate with a low-velocity middle layer. On the aspect of excitation mechanism, the normal displacement spectrum of all the modes excited by the normal force source with a definite width on the surface of the plate is studied. It shows that the dominant mode is the first mode when the S wave velocity increases from the top to bottom, and the dominant mode is different in different frequency range for the plate with decreasing S wave velocity or a low-velocity middle layer. |
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