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Research Papers

Yule Series Model Application for Blade Tip Timing Readouts Processing Resulting in Blade Oscillation Characteristics Estimation

[+] Author and Article Information
V. Karmalita

Private Consultant,
255 Boylan Avenue,
Dorval, QC H9S5J7, Canada
e-mail: karmalita@videotron.ca

Manuscript received August 8, 2017; final manuscript received May 29, 2018; published online June 18, 2018. Assoc. Editor: Victor Giurgiutiu.

ASME J Nondestructive Evaluation 1(4), 041002 (Jun 18, 2018) (4 pages) Paper No: NDE-17-1074; doi: 10.1115/1.4040471 History: Received August 08, 2017; Revised May 29, 2018

This paper deals with an application of the Yule series model for contactless (blade tip timing, BTT) measurements. The approach creates a straightforward processing procedure from the experimental data to obtain estimates of blade logarithmic decrement and natural frequency. The existing analytical expressions for confidence intervals enable a priori evaluation for the accuracy of blade oscillation characteristics estimates. Proposed sensors allocation scheme ensures oscillation sampling rates providing efficient estimates of oscillation characteristics. Real-time measurements of blade logarithmic decrement and natural frequency give a chance of this method implementation for research and health monitoring purposes.

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References

Hardigg, G. W. , 1949, “ Aparatus for Measuring Rotor Blade Vibration,” U.S. Patent No. US2575710A. https://patents.google.com/patent/US2575710
Nieberding, W. C. , and Pollac, J. L. , 1977, “ Optical Detection of Blade Flutter,” ASME Paper No.77-GT-66.
Grant, K. R. , and Ivey, P. , 2002, “ The Experimental Validation of Tip-Timing Techniques for Condition Monitoring of HCF in Gas Turbine Aero-Engines,” 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis, IN, July 7–10.
Lawson, C. P. , and Ivey, P. C. , 2005, “ Turbomachinery Blade Vibration Amplitude Measurement Through Tip Timing With Capacitance Tip Clearance Probes,” Sens. Actuators A: Phys., 118(1), pp. 14–24. [CrossRef]
Knappett, D. , and Garcia, J. , 2008, “ Blade Tip Timing and Strain Gauge Correlation on Compressor Blades,” Proc. Inst. Mech. Eng. Part G: J. Aerosp. Eng., 222(7), pp. 497–506. [CrossRef]
Box, G. E. P. , Jenkins, G. M. , and Reinsel, G. C. , 2008, Time Series Analysis: Forecasting and Control, 4th ed., Wiley, Hoboken, NJ. [PubMed] [PubMed]
Karmalita, V. A. , and Furletov, V. I. , 1987, “ Autoregression Method for Determining the Decrement and Frequency of the Natural Oscillations of a Gas in a Combustion Chamber,” Combust., Explos., Shock Waves, 23(6), pp. 694–700. [CrossRef]

Figures

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Fig. 1

BTT measurement scheme

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Fig. 2

Sensors allocation leading to Yule model implementation

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Fig. 3

Oscillation sampling by three sensors

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Fig. 4

Sampling rate influence

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Fig. 5

Interpretation of digitizing noise impact

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Fig. 6

Decrement estimate bias caused by digitizing

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Fig. 7

Relative values of estimate statistical errors

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