Frequency spectra of beam-plates revisited |
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| Authors: | Guo Y Q Chen W Q Pao Y H |
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| Institution: | a Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Department of Civil Engineering, Zhejiang University, Hangzhou 310027, PR China
b Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education and School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, PR China |
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| Abstract: | 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. |
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| Keywords: | Frequency spectra Dispersion curves Beam-plate Guided wave propagation Free vibration Mindlin&rsquo s plate theory |
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