THE SEMIINFINITE PLATE ON A WINKLER BASE, FREE ALONG THE EDGE, AND SUBJECTED TO A VERTICAL FORCE

At first, a brief review of published analyzes for related problems is presented. Then a new solution is derived for the case when plate is subjected to a concentrated force at any point on the plate. As in the reviewed papers, the analysis is based on the linear bending theory o f thin plates. The solution procedure utilizes the closed-form Green's function for the infinite plate, in conjunction with the Fourier inte gral method. The advantage of the present approach is that the charact eristic response of the plate near the load is represented by the clos ed-form Green's function which contains the proper singularity, wherea s the other terms represent the correction due to the free edge. To st udy the mechanical features of the problem under consideration, deflec tion profiles and bending moment distributions were calculated and are presented as graphs.