Frequency analysis of plates vibrating at large amplitudes

A new method of finding the relationship between non-linear fundamental frequency of vibration and the amplitude of vibration of plates is explained in this paper. In this method use is made of an iteration procedure suggested by Schwarz and also of Berger's equations. As an example, a circular plate with clamped, immovable edges is considered. © 1977 Academic Press Inc. (London) Limited.