DETERMINATION OF THE UPPER LIMIT OF THE LOAD-LOADING CAPACITY OF BENDING REINFORCED METAL-COMPOSITE RING PLATES IN CONTACT WITH A LIQUID INCOMPRESSIBLE MEDIUM. 2. ANALYSIS OF CALCULATION RESULTS

Abstract

For homogeneous isotropic annular plates with a rigid insert resting on an incompressible liquid base, a comparison was made of the solutions obtained analytically by Hodge and the numerical method previously developed by the author. Specific examples demonstrate the convergence of the numerical solution and its good agreement with the complete exact solution. In this case, the accuracy of determining the limit value of the transversal load applied to the rigid insert is 1-2%. It is shown that the numerical solution is not complete, since it allows one to calculate only the limiting value of the external active load applied to the bending plate, but does not allow one to determine the magnitude of the fluid resistance in the limit state of the structure. The influence of plate reinforcement parameters on the limiting value of the transverse force applied to a rigid insert is analyzed. Options for laying reinforcement along logarithmic spirals, along rectilinear trajectories and along radial and/or circumferential trajectories have been studied. It is shown that plates with a radial-circumferential structure have the greatest load-bearing capacity when at each point the total reinforcement density is equal to the maximum permissible value. For the first time, an unconventional version of the boundary conditions on the outer edge of the plate, which exploit under the specified conditions, is considered - the free edge. It has been demonstrated that in the case of the design of the product, when in the limit state of the plate it is impossible for liquid to flow from one of its front surfaces to another, the load-bearing capacity of a plate with a free outer edge is several times less than with a supported outer edge. The possibility of the emergence of an absolutely rigid annular subregion adjacent to the internal insert in the limit state of reinforced plates is shown.