On the large-deflexion vibrations of elastic plates

Abstract

An exact large-deflexion analysis is given of the free vibrations of unsupported elliptical plates of lenticular section, whose middle surfaces may be flat or uniformly curved. The solution is confined to the three ‘fundamental modal components', two bending and one twisting, for these are the most susceptible to large-deflexion effects. Particular attention is paid to the determination of modes, and their stability, in the large-deflexion regime. Many of the results are of importance in the general field of nonlinear plate vibrations.