Vibration of skew plates at large amplitudes including shear and rotatory inertia effects

An approach to the large amplitude free, undamped flexural vibration of elastic, isotropic skew plates is developed with the aid of Hamilton's principle taking into consideration the effects of transverse shear and rotatory inertia. On the basis of an assumed vibration mode of the product form, the relationship between the amplitude and period is studied for skew plates of various aspect ratios and skew angles clamped along the boundaries. It is found that the time differential equation, i.e. modal equation when numerically integrated provides interesting information about the effects of transverse shear and rotatory inertia on aspect ratios and skew angles of thin and moderately thick skew plates both at small and at large amplitudes.