A VARIATIONAL METHOD OF LEADINGOUT OF EQUATIONS OF MOTION BOUNDARY TERMS IN A ROUND PLATE

Abstract

For the obtain of equations of equilibrium and boundary terms in a round plate, variation principle of Lagrange is used for complete energy of the stress system. The got equalizations fully coincide after a form with the proper terms and equalizations for the plates of classic theory. A difference is brought in only by coefficients which take into account a transverce shear and compression. These equations take into account inertia of rotation of cross section of plate and influence of normal stress additionally.