Dynamic analysis of non-uniform taper bars in post-elastic regime under uniform axial loading

The present paper investigates the dynamic behavior of non-uniform taper bars under uniform axial loading in post-elastic regime. A variational principle is used for problem formulation and the system governing equation is solved by Galerkin’s principle. First the static axial loading problem is solved and with the known displacement field the subsequent eigen value problem is solved for dynamic analysis. It is observed that some portion of the bar attains a different tangent modulus value which becomes critical in defining its dynamic response. In post-elastic part some typical patterns of change in natural frequencies are seen.