On buckling and post-buckling of rotating clamped-clamped functionally graded beams in thermal environment

Abstract

One of the most important engineers’ considerations is their concern about structural stability. This article copes with buckling and post-buckling examinations of rotating clamped-clamped functionally graded beams due to interaction between thermal environment and rotation. The considered beam is subjected to a uniform temperature rising at the same time with its rotation at constant speed. The temperature dependency of material properties is considered. The Euler-Bernoulli beam assumption beside the von-Kármán strain-displacement relation is regarded to derive the governing equations. The nonlinear finite element method is applied to the equations of motion to extract pre-stressed deformation, critical buckling temperature change, and post-buckling response. The rotor radius, the beam length to the thickness ratio, the rotation speed, and the power law index impacts on the outcomes are illustrated.

Keywords:

• Rotating beams
• stability analysis
• buckling examination
• post-buckling response
• functionally graded materials

Disclosure statement

The authors declare that they have no significant competing financial, professional, or personal interests that might have influenced the performance or presentation of the work described in this manuscript.

Funding

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for profit sectors.