Dynamic modelling of porous functionally graded rotor-bearing system for different temperature distributions

Abstract

In the present paper, dynamic modelling of a porous functionally graded (FG) rotor system has been developed for various radial temperature distributions such as linear, non-linear, and sinusoidal. A two-nodded porous FG shaft element has been developed using the finite element method (FEM) based on Timoshenko beam theory (TBT). A metal-ceramic FG shaft, whose inner core is composed of stainless steel whereas the outer layer is made of zirconia, is considered to analyse the natural frequencies of the system for different temperature distributions to validate the modelling. Material properties and temperature are varied only across the cross-section of the porous FG shaft. Power law has been used to govern the material properties across the cross-section of the metal-ceramic FG shaft. The natural frequencies of a porous FG rotor-bearing system are computed for different power-law indices, porosity volume fractions, and temperature distributions.