Finite Deflections of an Elastic Circular Plate With a Central Hole

The von Karman equations for large deflections of an elastic circular plate containing a central hole and subjected to a concentrated ring load are presented in dimensionless and finite-difference form. Because of the nonlinear character of these equations an iterative technique must be employed to obtain a solution of the system of finite-difference equations and their corresponding boundary conditions. An analytical representation of the bounds within which the solution must lie is derived using a Green’s function approach. Finally, an example is solved numerically and the results discussed.