Finite Element based Natural Frequency Analysis of a Porous Functionally Graded Jeffcott Rotor System subjected to Thermal Gradients

EasyChair Preprint 5062

Abstract

This paper deals with the thermal effects on the free vibration of a Functionally Graded (FG) porous rotor shaft system. Material properties of the FG porous rotor are temperature and position-dependent they are diversified along the radial direction of the porous FG shaft by various governing gradation laws such as power law, exponential law, and sigmoidal law, etc. The governing equations are formulated for the even porosity model in which gradation in the pore’s density is defined for the even model. During the manufacturing of FGMs, various defects such as porosity can inherit in the material and degrade the quality of the fabricated part which can be catastrophically bad in high-speed rotating machinery. Sometimes a limited amount of porosity can be a good thing for instance a gradual increase in the pore imparts many properties such as mechanical shock resistance, thermal insulation, catalytic efficiency, and the relaxation of thermal stress. A modified homogenization material rule is used to describe material properties and is approximated for the FG porous rotor for different porosity phases. The material selection for which the analysis has been carried out in the case of FG porous shaft is Stainless Steel-ZrO₂.  Python code has been developed for different porosity models to generate ANSYS macros to input the properties of the constituent material. The effects of porosity models, the volume fraction of porosity, power-law index, and temperature gradient on the vibration characteristics of a porous FG rotor-bearing system are studied.

Keyphrases: Functionally graded material, NLTD, finite element method, porosity, temperature gradient

@booklet{EasyChair:5062,
  author    = {Yash Jaiman and Prabhakar Sathujoda},
  title     = {Finite Element based Natural Frequency Analysis of a Porous Functionally Graded Jeffcott Rotor System subjected to Thermal Gradients},
  howpublished = {EasyChair Preprint 5062},
  year      = {EasyChair, 2021}}