Skip to main content

Estimation of Instantaneous Speed for Rotating Systems: New Processing Techniques

  • Conference paper
  • First Online:
Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, Volume 8

Abstract

One of the most important parameters in the analysis of rotating systems is the instantaneous speed or RPM. The estimates from a tachometer data generally contain rapid unacceptable fluctuations. A new technique called the Adaptive n th Pulse Algorithm is presented in this paper which addresses the fluctuations in values from the conventional RPM estimation procedure through a root cause analysis. In addition to significantly improving the signal to noise ratio of the curve, this method has the advantage of transforming the rotation speed from being a function of angle of rotation to a function of time. An alternative approach has been developed by B&K called the Autotracker Algorithm where instantaneous speed is estimated using Bayesian statistics from measured accelerometer or microphone data thereby avoiding the need for tachometers. In the current paper, a smart algorithm built upon this Autotracker Algorithm has been developed which is more robust and as much as 100 times faster. Analysis of data with crossovers between orders and dominant natural frequencies is possible using a reprocessing step in this algorithm. Data with very high slew rate and speeds reaching 25,000 RPM has been shown to be processed in under 5 sec. Comparison is made between the Bayesian and n th pulse estimates for several data sets to show that the results are consistent with each other. Examples include data from a rotor rig, a 6 – cylinder engine powertrain and a vacuum cleaner.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Abbreviations

{θ}:

Set of parameters to be estimated

ω :

Frequency in rad/s

D :

Acquired data

σ :

Noise variance

M i I :

Model chosen

e n :

Error in the estimation of the n th data point

t :

Time recording or sample

\( {B}_{2n-1},\ {B}_{2n} \) :

Coefficients corresponding to frequency ω n

d i :

The i th data point

NBS :

Data block size

ω l :

Frequency estimate of the l th data block

T :

Total time sampled

Δf :

Frequency resolution

Δt :

Discrete sampling time

n :

Number of pulses skipped

F samp :

Sampling frequency

F nyq :

Nyquist frequency

FFT :

Fast Fourier Transform

RPM :

Rotations per minute

References

  1. Blough, J.R.: Improving the Analysis of Operating Data on Rotating Automotive Components. PhD Dissertation, University of Cincinnati (1998)

    Google Scholar 

  2. Pedersen, T.F., Herlufsen, H., Konstantin-Hansen, H.: Order Tracking in Vibro-acoustic Measurements: A Novel Approach Eliminating the Tacho Probe. SAE paper 01-2266 (2005)

    Google Scholar 

  3. Bretthorst, G.L.: Bayesian Spectrum Analysis and Parameter Estimation, vol. 48 of Lecture Notes in Statistics. Springer-Verlag (1988)

    Google Scholar 

  4. Jaynes, E.T.: In: Zellner, A. (ed.) Marginalization and Prior Probabilities in Bayesian Analysis in Econometrics and Statistics. North-Holland Publishing Company, Amsterdam (1980)

    Google Scholar 

  5. Ruanaidh, J.J.K., Fitzgerald, W.J.: Numerical Bayesian Methods Applied to Signal Processing, Statistics and Computing. Springer (1998)

    Google Scholar 

  6. Schuster, A.: The periodogram and its optical analogy. Proc. R. Soc. Lond. 77, 136 (1905)

    Article  MATH  Google Scholar 

  7. Deshpande, S.: Improving Observability in Experimental Analysis of Rotating Systems. Master’s Thesis, University of Cincinnati (2014)

    Google Scholar 

  8. Vemuri, A.: Estimation of Instantaneous Speed for Rotating Systems: New Processing Techniques. Master’s Thesis, University of Cincinnati (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Achyut Vemuri .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Vemuri, A., Allemang, R.J., Phillips, A.W. (2016). Estimation of Instantaneous Speed for Rotating Systems: New Processing Techniques. In: De Clerck, J., Epp, D. (eds) Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-30084-9_46

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30084-9_46

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30083-2

  • Online ISBN: 978-3-319-30084-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics