Large amplitude flexural vibration of simply supported skew plates.

TLDR: In this article, the Berger formulation was applied to the large amplitude flexural vibration of orthotropic skew plates in the Berger regime and the results were compared with those obtained without making use of the approximate formulation due to Berger.

Abstract: Using the governing dynamic equations for the large amplitude flexural vibration of orthotropic skew plates in the Berger formulation, solutions are obtained on the basis of a one term vibration mode and they are discussed for two types of in-plane edge conditions and for different skew angles and orthotropy. The results obtained are compared with those got without making use of the approximate formulation due to Berger. In all these cases it is found that the nonlinearity is of the hardening type, i.e., the period of nonlinear vibration decreases with increasing amplitude.