Vibration of Plates of Various Geometries.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB
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Point driven, flat, thin aluminum plates of various geometries with free boundaries are studied in this thesis. We have applied a theory which allows the mean of the driving point admittance to be predicted over a wide frequency range at any point on these plates. This prediction is compared to the experimentally determined admittance. Also, the expected minimum and maximum variations about this mean and predicted and compared to the experimental data over a broad frequency range. Measured loss factors for these free plates were used in the theoretical models. The actual admittance versus frequency for a center driven rectangular plate was predicted using a mode sum technique and compared to measured data. A simple algebraic formula was used to predict the resonance frequencies of the rectangular and square plates with free boundaries. The transfer admittance of these point driven plates was also measured experimentally and compared to a theory which predicts the mean admittance versus frequency. The dependence of this mean on plate size and also on plate damping was demonstrated. Author
- Metallurgy and Metallography
- Statistics and Probability
- Nuclear Physics and Elementary Particle Physics