Elastic limit angular speed of solid and annular disks under thermomechanical loading

Abstract

In this study, the influence of thermo-mechanical loading on stresses and deformation states in a rotating disk with varying thicknesses has been evaluated based on a variational principle considering the radial displacement field as unknown. The solutions till the elastic limit yield stress of the material are attained with the assumption of plane stress condition. MATLAB^® computational simulation software is used to implement the solution algorithm. The analysis is accomplished for different disk geometries as well as temperature distribution profiles. Limit angular speed of the disks is calculated under thermo-mechanical loading and accounted for in dimensional mode as limit peripheral speed and dimensionless form as normalized limit angular speed. The influence of temperature on yield stress and subsequently on the limit peripheral speed is also studied for any given temperature distribution and results are furnished in dimensional form. The effects of temperature field on other material properties are also studied. The results of some reduced problems are validated with those available in literature and very good agreement is observed. The new results, furnished graphically as design monograms, might prove helpful for the practicing engineers.

Keywords: Rotating disks, Variational method, Thermo-elastic stresses