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Flexural vibrations of a rectangular plate for the lower normal modes |
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| Authors: | B. Manzanares-Martí nez,L. Gutié rrez,G. Monsivais,F. Ramos-Mendieta |
| Affiliation: | a División de Ciencias e Ingeniería, Universidad de Sonora. Blvd. Lazaro Cardenas #100, 85880 Navojoa, Sonora, Mexico b Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, 01000 México, D.F., Mexico c Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, A.P. 48-3, 62251 Cuernavaca, Morelos, Mexico d Departamento de Investigación en Física, Universidad de Sonora, A.P. 5-088, 83000 Hermosillo, Sonora, Mexico |
| Abstract: | Theoretical and experimental results for flexural waves of a rectangular plate with free ends are obtained. Both the natural frequencies and mode shapes are analyzed for the lower normal modes. To take into account the boundary conditions, a plane wave expansion method is used to solve the thin plate theory also known as the 2D Kirchhoff-Love equation. The excitation and detection of the normal modes of the out-of-plane waves are performed using non-contact electromagnetic-acoustic transducers. We conclude that this experimental technique is highly reliable due to the good agreement between theory and experiment. |
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