Stress analysis of non-linearly variable thickness rotating disk in gas turbine engine using hyper-geometric method

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

Behrooz Shahriari ¹ , Nedasadat Seddighi ²

1 - Faculty of Mechanics, Malek Ashtar University of Technology, Isfahan, Iran
2 - Mechatronic Sanaat sepahan Co. , Isfahan, Iran

Received: 2023-04-27 Accepted : 2023-07-03 Published : 2023-06-01

Keywords: Stress Analysis, Rotating disk, Gas turbine engine, Non-linearly variable thickness and density, Hyper-geometric method,

Abstract :

In this paper, the numerical and exact analytical calculation of elastic strains and stresses in gas turbine engine rotating disk with variable thickness, subjected to temperature gradient are presented. Galerkin method is applied to solve any kind of profiles with arbitrary thickness, temperature and density functions while the other numerical and analytical methods used in previous works, are applied to profiles with certain thickness functions. Therefore, a comprehensive approach that takes all the circumstances into account was used in an attempt to fill this gap. To verify the numerical method, a few examples of rotating disks with non-linear variable thicknesses were solved using the analytical method as a reference method and their results were compared with numerical solution. A good agreement between numerical and analytical solutions was observed. In the analytical part, a new method to convert equilibrium equation of rotating disks to hyper-geometric differential equation was provided and then it was solved. Using hyper-geometric method is the main novelty of this research. The distributions of radial displacement and stresses were obtained and an appropriate comparisons and discussions were made at the same environmental conditions.

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