梁板式结构的频谱再探讨。
Frequency spectra of beam-plates revisited.
作者信息
Guo Y Q, Chen W Q, Pao Y H
机构信息
Department of Civil Engineering, Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou, PR China.
出版信息
Ultrasonics. 2009 Jan;49(1):4-9. doi: 10.1016/j.ultras.2008.05.004. Epub 2008 Jun 4.
Based on Mindlin's plate theory, the frequency spectra for flexural and thickness-shear vibrations of a finite beam-plate with different combinations of boundary conditions are presented and studied. Comparing them with the dispersion curves of the infinite beam-plate reveals an intrinsic relation between resonant vibration and guided wave propagation. The fundamental frequency spectra, which are for beam-plates with hinged and/or guided edges, are found to play an important role in understanding the spectra of beam-plates with other boundary conditions.
基于明德林板理论，给出并研究了具有不同边界条件组合的有限梁板弯曲振动和厚度剪切振动的频谱。将它们与无限梁板的色散曲线进行比较，揭示了共振振动与导波传播之间的内在关系。发现具有铰接和/或导向边缘的梁板的基频谱在理解具有其他边界条件的梁板谱方面起着重要作用。
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