Abstract
The technique of plotting the Campbell diagrams for turbine blades is developed by means of mathematical modeling. Equations of blade oscillations in the field of centrifugal forces are derived. The turbine blade is supposed to be a naturally twisted rod. The numerical solution of the eigenvalue problem gives the required dependencies of oscillation frequency on angular velocity. Calculations are performed using the shooting method in Mathcad. The computational results for a particular turbine blade are presented.
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Acknowledgements
This work is done as the part of the state task with the financial support of the Ministry of Education and Science of the Russian Federation (Project No. 933-2014, 1972–2014).
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Eliseev, V.V., Moskalets, A.A. (2017). Computational Technique of Plotting Campbell Diagrams for Turbine Blades. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-53363-6_5
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DOI: https://doi.org/10.1007/978-3-319-53363-6_5
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