A Unified Approach for Out-of-Plane Forced Vibration of Axially Functionally Graded Circular Rods

Abstract

Out-of-plane forced vibration of axially inhomogeneous curved rods is examined by the Complementary Functions Method (CFM) in the Laplace domain. The material properties, Young’s modulus and density, of the circular rods are graded in the axial direction according to a power law distribution while the Poisson’s ratio is supposed to be constant. The effectiveness and accuracy of the proposed method are confirmed by comparing its numerical results with those obtained by ANSYS. Application of this unified approach provides accurate results of transient response for axially functionally graded (AFG) circular rods with different variations of material properties along the rod axis.

Keywords

• Axially functionally graded circular rods; Laplace Transform; Complementary Functions Method (CFM); Forced Vibration.

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