Impact of porosity on free vibration and limit analysis of power-law-based functionally graded disks

Abstract

Purpose

This study aimed to analyze the free vibration of a radially graded Ni-Al2O3-based functionally graded (FG) disk with uniform thickness.

Design/methodology/approach

Using the energy method, natural frequencies of rotating and non-rotating disks were determined at the limit elastic angular speed. Material properties were estimated using a modified rule of mixture. Both even and uneven porosity variation effects were considered in the material modeling. Finite element analysis validated the analytical approach.

Findings

The study explored limit angular speeds and natural frequencies across various grading indices, investigating the impact of porosity types and grading indices on these parameters.

Practical implications

Insights from this research are valuable for researchers and design engineers involved in modeling and fabricating porous FG disks, aiding in more effective design and manufacturing processes.

Originality/value

This study contributes to the field by providing a comprehensive analysis of free vibration behavior in radially graded Ni-Al2O3-based FG disks. The incorporation of material modeling considering both even and uneven porosity variation adds originality to the research. Additionally, the validation through finite element analysis enhances the credibility of the findings.

Citation

Madan, R., Khobragade, P. and Bhowmick, S. (2024), "Impact of porosity on free vibration and limit analysis of power-law-based functionally graded disks", Multidiscipline Modeling in Materials and Structures, Vol. 20 No. 6, pp. 1192-1212. https://doi.org/10.1108/MMMS-04-2024-0108