An Analytical Approach to an Elastic Circular Rod Equation

The size-dependent longitudinal and torsional dynamic problems for small-scaled rods have importance in two-phase media. special case of the elastic rod equation such as magneto-electro circular are seen literature commonly, but this work, generalized form nonlinear equation, which was not studied literature, is considered. exact solutions obtained via Mathieu approximation method with a novel proposed ansatz. Obtained discussed illustrated details. We believe that results will be key part further analytical numerical studies waves dispersive medium reaction.