ABSTRACT
For the analysis of large amplitude transverse vibration of thin, isotropic, homogeneous elastic plates of arbitrary shapes, a simplified method is developed, based on the concept of ‘constant deflection contour lines’. As an illustration, the large amplitude vibration of a parabolic plate, whose analysis is not easy due to its shape by the usual method, has been discussed. The resulting nonlinear differential equation has been solved with the help of Galerkin’s technique. Certain typical values of the various parameters of the problems are considered for the purpose of numerical evaluation of the ratio of the nonlinear to linear periods for movable as well as for immovable edge conditions. Numerical computations are presented in tabular form, corresponding graphs are drawn and the results compared with other available data. The present modified approach seems more advantageous than those described elsewhere because the results for different plates can be obtained from a single differential equation.
