A note on vibrating circular plates carrying concentrated masses (Q1058361)

This note deals with the approximate determination of the fundamental frequency of vibration of circular plates elastically restrained against rotation and carrying a concentrated mass at its center. In the case of clamped plates the results are in excellent agreement with values predicted by the exact solution. The present algorithmic procedure allows for the calculation of the fundamental frequency of vibration for any value of the flexibility coefficient in a very simple yet quite accurate fashion.