EXACT SOLUTION OF ROTATING DISC WITH SHAFT PROBLEM IN THE ELASTOPLASTIC STATE OF STRESS HAVING VARIABLE DENSITY AND THICKNESS
Pankaj Thakur1, Monika Sethi1, Shivdev Shahi2, Satya Bir Singh2, Fadugba Sunday Emmanuel3
1)Depart. of Mathematics, Faculty of Science and Techn., ICFAI University Baddi, Solan, India
2)Department of Mathematics, Punjabi University, Patiala, Punjab, India
3)Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Nigeria
The purpose of this paper is to present study of the elastoplastic state of stress in a rotating disc with a shaft having a thickness and density profile by using Seth’s transition theory. It has been observed that the rotating disc made of the compressible material with an inclusion requires higher angular speed to yield at the internal surface as compared to the disc made of incompressible material, and a much higher angular speed is required to yield with the increase in radii ratio. The thickness and density parameters decrease the value of angular speed at the internal surface of the rotating disc of compressible as well as incompressible materials. The model proposed in this paper is used in mechanical and electronic devices. They have extensive practical engineering applications such as in steam and gas turbines, turbo generators, flywheel of internal combustion engines, turbojet engines, reciprocating engines, centrifugal compressors and brake discs.
Keywords: disc, inclusion, stresses, displacement, density, thickness