The fundamental solution of the statics equations for isotropic plates using the theory of S.P. Tymoshenko

Abstract

The displacements, stresses and strains approximations via Fourier series in Legendre polynomials on the transverse coordinate method were used to derive the equations of two-dimensional theory of elasticity for isotropic plates. This approach allows us to take into account the transverse shear and normal stresses. On the basis of this approach with the help of equations for isotropic plates developed a method of their calculation under the action of concentrated force effects. The fundamental solution of the equations using a two-dimensional Fourier integral and methods of treatment, obtained by using a special G-function is found.