Stress analysis in an isotropic hyperbolic rotating disk fitted with rigid shaft

• Published in: Zeitschrift für angewandte Mathematik und Physik 2022-02, Vol.73 (1), Article 23
• Main Authors: Thakur, Pankaj, Sethi, Monika, Kumar, Naresh, Gupta, Neeru, Gupta, Kanav, Bhardwaj, R. K.
• Format: Article
• Language: English
• Subjects: Aluminum alloys; Aluminum base alloys; Angular speed; Convergence; Density; Engineering; Mathematical Methods in Physics; Parameters; Rotating disks; Rubber; Stress analysis; Theoretical and Applied Mechanics
• ISSN: 0044-2275; 1420-9039
• DOI: 10.1007/s00033-021-01663-y

The purpose of this paper is to present study of stresses distribution and displacement in an isotropic hyperbolic rotating disk fitted with rigid shaft and having variable density parameter by using transition theory. It has been seen that the convergent disk made of rubber material requires a higher angular speed at the inner surface as compared to aluminum alloy material on the initial yielding stage, but for the fully plastic stage divergent disk requires higher angular speed at the inner surface as compared to a uniform/convergent disk. With the introduction of density parameter, the values of angular speed increase in the inner surface the initial/fully plastic stage. The convergent disk made of rubber material requires maximum radial stress at the inner surface as compared to aluminum alloy material. With the increasing value of density parameter, the radial stress increases in the intermediate surface of the hyperbolic rotating disk. Results have been discussed numerical and depicted graphically.