An Analytical Approach to an Elastic Circular Rod Equation

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Mathematical Sciences and Applications E-Notes
Volume:10 Issue:1
An Analytical Approach to an Elastic Circular Rod Equation

An Analytical Approach to an Elastic Circular Rod Equation

Pages : 45-49

View : 25 | Download : 11

Publication Date : 2022-03-01

Article Type : Research Paper

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

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