Abstract
Three-dimensional Finite Element (FE) analysis has been carried out using ANSYS software to study the natural frequencies of functionally graded (FG) rotor system. Temperature and position-dependent material properties of the FG shaft system are considered to be graded in the radial direction. Power-law with the nonlinear temperature distribution (NLTD) and exponential law with exponential temperature distribution (ETD) have been used to model the material gradation and temperature distribution. Rotor systems of two different FG materials, namely Stainless Steel-ZrO2 and Stainless Steel-Al2O3 have been studied. Python codes have been developed to generate ANSYS macros that apply the material properties. Simply supported FG shaft and FG rotor system supported on bearings have been analyzed in the current work. The results show the influence of different power-law coefficients, different material and material laws on the natural frequencies of the rotor system. The effect of these parameters on whirl frequencies has also been studied for FG rotor systems.
Highlights
A typical functionally graded material (FGM), with a high bending–stretching coupling effect, is an inhomogeneous composite made from different phases of material constituents
Before presenting the results of rotor systems having different material gradations, the developed three-dimensional ANSYS Finite Element (FE) models are validated by comparing the modal analysis results with works from literature
The first second natural frequencies are obtained for nonrotating supported FG shaft composed of SUS304 and Al2O3 with power-law coefficient k = 0.5 and L⁄D ratio as 12.5
Summary
A typical functionally graded material (FGM), with a high bending–stretching coupling effect, is an inhomogeneous composite made from different phases of material constituents (usually ceramic and metal). Reddy and Chin [6], studied the dynamic thermoelastic response of functionally graded cylinders and plates using finite element modeling and considering the effect of thermomechanical coupling in the formulation. Gayen and Roy [7] work deal with the study of vibration and stability analysis of a functionally graded spinning shaft system using beam elements based on the Timoshenko beam theory. NATURAL FREQUENCY ANALYSIS OF A FUNCTIONALLY GRADED ROTOR SYSTEM USING THREE-DIMENSIONAL FINITE ELEMENT METHOD. The present work aims to study the vibration analysis of a shaft and a rotor system, modeled using ANSYS three-dimensional hex elements by considering two different FG materials and temperature distribution laws
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