Abstract: An improved nonlinear vibration theory is used in the present analysis to study the effects of transverse shear deformation and rotatory inertia on the large amplitude vibration behavior of ...

Abstract: This paper is concerned with the recent developments in the nonlinear vibrational analysis of plates of various geometries. Although most of the material presented here deals with geometric type ...

Abstract: A nonlinear vibration theory for anisotropic elastic skew plates is developed with the aid of Hamilton’s principle. The effects of transverse shear deformation and rotatory inertia are included ...

Abstract: Based on the single-mode analysis, solutions to the governing equations developed in Part 1 of this paper are presented for various boundary conditions by use of Galerkin’s method and the ...

Abstract: Based on a multiple-mode analysis, solutions to the nonlinear equations of motion are presented for elliptical plates in terms of variations of nonlinear periods with amplitudes of vibration. ...