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.

A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc

“…Thus, this situation indicates the two-point boundary value problem. This article, the complementary functions method (CFM), which is an effective analysis procedure [1,[25][26][27] as a starting-worth problem, which can be resolved by traditional procedures in the current written works, is used. In this study, fourth grade Runga-Kutta (RK4) method was used.…”

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

“…The functional graded materials (FGM) are more advanced structural materials in determining the material properties in the direction of the thickness in the solution of problems due to the composite materials interfaces. In recent years, thermal stresses, free and forced vibration analysis have been successfully applied to mechanical problems with different structures such as FGMs, circular fins [6], irregular piezoelectric and nonhomogeneous rods [7][8][9] and functionally graded beams [10]. Güven and Baykara [11] explained the mechanical stress distribution of the isotropic functional grade thick walled sphere under the influence of internal pressure.…”