Thermoelastic Analysis of the FGM Rotating Disk Structure in the Free Turbine of the Turboshaft Engine Using the Differential Quadratic Method

Document Type : Original Article

Authors

1 Faculty of Mechanics, Malek Ashtar University of Technology, Isfahan, Iran

2 Faculty of Mechanics, Malek Ashtar University of Technology, Isfahan, Iran.

Abstract
he engine, which is under to various mechanical and thermal loads. In this study, thermoelastic analysis has been performed on a rotating disk with variable thickness and made of functionally graded materials using the generalized quadratic differential method. First, by expanding the displacement differential equation and then by applying the thermal strain caused by the thermal gradient, the radial and circumferential stress-strain relations in the elastic state and from the combination of these equations, the stress relations in terms of strain are obtained. Finally, by placing the strain-displacement relationships in the stress-strain equations and placing the resulting equation in the disk equilibrium relationship, the thermo-elastic equation of this disk is obtained. This general equilibrium equation is related to a disk with variable thickness and properties that is under symmetrical thermal loading and centrifugal. Changes in the thickness, temperature and properties of the disc as a function of the radius have been investigated and the results have been compared. In this study, the validation was done with the variable material theory method and at the end, the stress, strain and displacement in the state of temperature-dependent properties was checked. The results show that the maximum error is 5% and this method can be effective in the analysis of rotating disks under mechanical and thermal loading in turbine engines.

Keywords


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Volume 3, Issue 4
Winter 2024
Pages 516-536

  • Receive Date 14 January 2024
  • Revise Date 04 March 2024
  • Accept Date 18 March 2024