On solution of the problem of bending and vibrations of thick plates on the basis of the bimoment theory

This paper is devoted to the development of new theory of thick plates with account for internal forces, moments and bimoments. The equations of motion of plates are described by two systems with nine equations each. Boundary conditions depending on displacements, forces, moments and bimoments are given. An exact solution of the bending of thick plate under the effect of sine load is built. Numerical results for maximal values of displacements and stresses of the plate are obtained.