The Optimal Location of the Polygonal Internal Supports to the Circular Rigid-Plastic Plates

The general solution of a problem of the limit behavior and dynamic bend is obtained for the perfect rigid-plastic circular plates, hinge supported on immobile polygonal contour, located inside the plate. The plate is subjected to short-term dynamic load of explosive type with high intensity, uniformly distributed over the surface. It is shown that there are several mechanisms of limit and dynamic deformation of plates depending on the location of the support contour. The simple analytic expressions are obtained for the limit load and maximum final deflection of plates. The optimal location of support and the number of sides of the polygonal contour are determined, at which the plate has maximum limit load. Numerical examples are given.