Vibrations of a rectangular plate with a free edge in the case of discontinuously varying thickness |
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| Authors: | Diana V Bambill Raúl E Rossi Verónica Jederlinic Carlos A Rossit |
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| Institution: | Diana V. Bambill, Raúl E. Rossi, Verónica Jederlinic,Carlos A. Rossit |
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| Abstract: | Transverse vibrations of a rectangular plate with three edges elastically restrained against rotation while the fourth is free are studied using (a) an analytical approach based on the optimized Rayleigh-Ritz method and (b) the finite element method. The study was motivated by the necessity of finding out how the lower frequencies of vibration were affected by introducing a step discontinuity in the plate thickness. This variation in the plate thickness was practiced in order to obtain a reduction in the total plate weight. |
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