Abstract
Background
The self-excitation of last stage of slender blades leading to high vibration amplitudes is a problem encountered in the exploitation of LP steam turbines. This has been resolved by changing the geometry of alternate blades (mistuning).
Method
This paper studies the free and forced blade vibrations of various thus mistuned steam turbine systems. Two methods of mistuning are applied: either by changing the blade geometry or by changing the Young’s Modulus.
Results
In the LP steam turbine last stage, the nodal diameters of blades are destroyed by even the slightest changes to natural blade frequencies and only individual blades vibrate. Blade feathering does make nodal diameters appear, but only in every second blade. The blade geometry mistuning gives more reliable results.
Conclusions
A comparison of the geometrical and material mistuning reveals completely different results. In the case of long blades, geometrical mistuning is recommended. The maximal blade stress location changes, depending on the form of mistuning.
Similar content being viewed by others
References
Rieger NF (2002) Progress with the solution of vibration problems of steam turbine blades, STI Technologies, Inc., 1800 Brighton-Henrietta TL. Rd. Rochester, New York 14623, USA
Moroz L, Romanenko LG (2003) Vibration analysis of low pressure stages of large steam turbines with ANSYS. SoftInWay Inc., Burlington, p 01803
Wan W-Z, Xuan F-Z, Zhu K-L, Tu S-T (2007) Failure analysis of the final stage blade in steam turbine, school of mechanical and power engineering. East China University of Science and Technology, Shanghaia
Rządkowski R, Drewczyński M (2010) Coupling of vibration of several bladed discs on the shaft, part II, forced vibration analysis. Adv Vib Eng 9(4):363–374
Heinz C, Schatz M, Casey MV, Stuter H (2011) Impact of Mistuning on the vibration behaviour of the last stage in a model three stage low pressure steam turbine, ASME 2011 Turbo Expo: Turbine technical conference and exposition,Vol 6, Structures and Dynamics, Parts A and B, Vancouver, British Columbia, Canada, June 6–10, 2011, Paper No. GT2011-45784, pp 1047–1056
Kubin Z, Cerny V, Panek P, Misek T, Hlous J, Prchlik L (2011) Determination of crack initiation on L-1 LP steam turbine blades: part 1—measurements on rotor train, material specimens and blades, ASME 2011 Turbo Expo: Turbine technical conference and exposition,Vol 6. Structures and Dynamics, Parts A and B, Vancouver, British Columbia, Canada, June 6–10, 2011, Paper No. GT2011-46203, pp 1095–1102
Kellner J, Kubin Z, Hlous J, Prchlik L (2011) Determination of crack initiation on blade L-1 LP steam turbine blades: part 2—computational analyses, ASME 2011 Turbo Expo: Turbine technical conference and exposition, Vol 6. Structures and Dynamics, Parts A and B, Vancouver, British Columbia, Canada, June 6–10, 2011, Paper No. GT2011-46206, pp 1103–1113
Rzadkowski R, Maurin A (2014) Multistage coupling of eight mistuned bladed disc on a solid shaft, part 1. Free vibration analysis, ASME Turbo-Expo, Denmark, Copenhagen, Multistage coupling of mistuned aircraft engine bladed disks in a forced vibration analysis, Proceeding of the ASME Turbo Expo 2014, Vol 7. Structure and Dynamics, June 11–15, 2012, GT2014-26108, pp 531–540
Gnesin V, Kolodyazhnaya L, Rzadkowski R (2004) A numerical model of stator-rotor interaction in a turbine stage with oscillating blades. J Fluids Struct 19(8):1141–1153
Rządkowski R, Gnesin V (2007) A 3D inviscid self-excited vibration of the last stage turbine blade row. J Fluids Struct 23:858–873
Rzadkowski R, Maurin A (2014) Multistage coupling of mistuned aircraft engine bladed disks in a forced vibration analysis, ASME Turbo Expo 2014: Turbine technical conference and exposition, Vol 7B. Structures and Dynamics Düsseldorf, Germany, June 16–20, 2014, No. GT2014-26108, p V07BT35A016
Ewins D (1973) Vibration characteristics of bladed disks assemblies. J Mech Eng Sci 15(3):165–186
Rzadkowski R, Surwilo J, Kubitz L, Lampart P, Szymaniak M (2016) Unsteady forces in last stage LP steam turbine rotor blades with exhaust hood, ASME Turbo Expo 2016: Turbomachinery technical conference and exposition, Vol 7B. Structures and Dynamics Seoul, South Korea, June 13–17, 2016, Paper No. GT2016-57610, p V07BT34A020
Drewczynski M, Rzadkowski R, Maurin A, Marszalek P (2016) Free vibration of a mistuned steam turbine last stage bladed disc, ASME Turbo Expo 2016: Turbomachinery technical conference and exposition, Vol 7A. Structures and Dynamics, Seoul, South Korea, June 13–17, 2016, Paper No. GT2016-57427, p V07AT32A020
Acknowledgements
Finance for this research came from project Polish Government funds PBS1/B4/5/2012. All numerical calculations were made at the Academic Computer Centre TASK (Gdansk, Poland).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kubitz, L., Rzadkowski, R. LP Last Stage Steam Turbine Blade Vibrations Due to Mistuning. J. Vib. Eng. Technol. 6, 309–316 (2018). https://doi.org/10.1007/s42417-018-0039-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-018-0039-y