TY - JOUR
T1 - A unified numerical approach for the analysis of rotating disks including turbine rotors
AU - Sterner, Susana C.
AU - Saigal, Sunil
AU - Kistler, Walter
AU - Dietrich, David E.
N1 - Funding Information:
Acknowledgements-This work was supported by a Small Undergraduate Research Grant (SURG) from ARCO Chemical Company and the Lily Endowment, Inc. and by the National Science Foundation through a supplement grant MSM9057055 to Camegie Mellon University.
PY - 1994/1
Y1 - 1994/1
N2 - A numerical procedure for the analysis of the stresses due to rotation that are produced in disks of a general, arbitrary configuration is presented in this paper. The governing equilibrium equations and the constitutive relations for the rotating disk element are written in terms of the radial stress. A numerical simulation is performed based on repeated applications of a truncated Taylor's expansion to advance along the radius of the deformed disk. The treatment of both initial value problems and two point boundary value problems is presented based on a corresponding iterative root finding method. Examples for various disk geometries, including disks of constant thickness, linearly tapered thickness, and hyperbolic variation of thickness, respectively, are provided. Both radial as well as circumferential stresses are obtained and compared with existing analytical solutions to validate the present formulations. Particular consideration is given to the industrial example of turbine rotors carrying buckets. The simple procedure developed in this study may serve as an effective tool for performing preliminary design calculations for complex rotating components.
AB - A numerical procedure for the analysis of the stresses due to rotation that are produced in disks of a general, arbitrary configuration is presented in this paper. The governing equilibrium equations and the constitutive relations for the rotating disk element are written in terms of the radial stress. A numerical simulation is performed based on repeated applications of a truncated Taylor's expansion to advance along the radius of the deformed disk. The treatment of both initial value problems and two point boundary value problems is presented based on a corresponding iterative root finding method. Examples for various disk geometries, including disks of constant thickness, linearly tapered thickness, and hyperbolic variation of thickness, respectively, are provided. Both radial as well as circumferential stresses are obtained and compared with existing analytical solutions to validate the present formulations. Particular consideration is given to the industrial example of turbine rotors carrying buckets. The simple procedure developed in this study may serve as an effective tool for performing preliminary design calculations for complex rotating components.
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U2 - 10.1016/0020-7683(94)90055-8
DO - 10.1016/0020-7683(94)90055-8
M3 - Article
AN - SCOPUS:0028199546
SN - 0020-7683
VL - 31
SP - 269
EP - 277
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 2
ER -