Spectral statistics in elastodynamics
Spectral statistics in elastodynamics
复制标题
弹性动力学中的谱统计
DOI：
10.1121/1.397484
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发表时间：
1989
影响因子：
2.4
通讯作者：
R. Weaver
中科院分区：
文献类型：
--
作者：
R. Weaver
声学模态统计的基本原理进行了研究，以期在理解波动现象在室内声学，统计能量分析和扩散场超声波的应用。本文指出，线弹性体的谱涨落和大核的谱涨落一样，都属于随机矩阵的高斯正交系综所描述的普适类。实验室对小铝块的高本征频率的研究有力地证实了这一猜想。水平排斥和光谱刚性观察到符合随机矩阵理论的预测。
The fundamentals of acoustic modal statistics are investigated with a view toward applications in understanding fluctuation phenomena in room acoustics, statistical energy analysis, and diffuse field ultrasonics. It is conjectured that the spectral fluctuations of a linearly elastic body, like those of large nuclei, will fall into the universality class described by the Gaussian orthogonal ensemble of random matrices. This conjecture is strongly confirmed by a laboratory study of the higher eigenfrequencies of small aluminum blocks. Level repulsions and spectral rigidities are observed to conform to the predictions of random matrix theory.