Closed-Form Formulas for Hyperbolically Tapered Rotating Disks Made of Traditional Materials under Combined Thermal and Mechanical Loads

Year 2018, Volume: 10 Issue: 2, 73 - 92, 15.08.2018

Vebil Yıldırım

https://doi.org/10.24107/ijeas.443239

Cited By: 2

Abstract

Using the true
temperature distribution along the radial coordinate, closed-form formulas are
offered for readers to study the thermo-mechanical behavior of variable
thickness disks having both convergent and divergent hyperbolic thickness
profiles made of conventional materials. Internal and external pressures,
centrifugal forces and thermal loads due to the differences in prescribed surface
temperatures are all considered with three boundary conditions: free-free
(circular annulus), fixed-free (a disk mounted on a rotating shaft at the inner
surface), and fixed-fixed (mounted on a rotating shaft at the inner surface and
cased at the outer surface) boundary conditions. A parametric study is also
conducted in almost real working environment in which the outer surface of the
disk has considerably higher temperature rather than the inner surface. The
thermomechanical linear elastic response of a hyperbolic mounted rotating disk
subjected to the external pressure induced by blades is originally handled by
those proposed formulas. 

Keywords

Variable thickness disk, nonuniform rotating disk, closed-form elasticity solution, exact solution, analytical solution, thermomechanical

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