Non-linear oscillations of elastic orthotropic annular plates of variable thickness

A computational analysis of the non-linear oscillations of elastic orthotropic annular plates of variable thickness is presented. The non-linear boundary value problem is converted into a corresponding eigenvalue problem by using a Kantorovich time-averaging method. Then, by a Newton-Raphson iteration scheme in conjunction with the concept of analytical continuation, the solution to the non-linear oscillations of elastic orthotropic annular plates of variable thickness are obtained.