THE CLAMPED SEMIINFINITE PLATE ON A WINKLER BASE SUBJECTED TO A VERTICAL FORCE

The analysis of the title problem is based on the linear bending theor y of thin plates. Two analytical solutions are presented for a concent rated force. The first is based on the method of potential theory usin g the Green's function for the infinite plate due to a concentrated fo rce and its equivalent for a distributed load along the boundary line. The second solution also utilizes the Green's function for the infini te plate but in conjunction with the Fourier integral method. The obta ined solutions are compared and their analytical features are discusse d. To study the mechanical features of the considered problem, the rea ction distributions along the boundary, the deflection profiles, and t he bending-moment distributions were calculated for various positions of the concentrated force and are presented as graphs.