Abstract
Envelope analysis of vibration signals is a well known tool for amplitude demodulation and diagnosis of a number of vibration problems in machines and structures. The typical application is the fault diagnosis in the anti-friction bearings and gearboxes. Hilbert transformation (HT) is often used to extract the envelope signals (upper and lower) from a time domain signal. However it is observed that the envelope signals obtained by the HT are not always without any error. In this paper, 4 different signals, 3 simulated; sine, amplitude modulated and random, and measured vibration data on anti-friction bearings are analyzed using the HT. The paper compares the accuracy of the envelope data obtained for these different signals using the HT. A new method called three-point moving window (TPMW) method is also developed to generate envelope signals and applied to the 4 different signals that gives better results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
White G (1991) Amplitude demodulation—a new tool for predictive maintenance. Sound Vib 25:14–19
McMahon SW (1991) Condition monitoring of bearing using ESP. Cond Monit Diagn Technol 2:21–25
Azovtsev YA, Barkov AV, Yudin IA (1994) Automatic diagnostics and condition prediction of rolling element bearing using enveloping methods. In: Vibration Institute 18th annual meeting
McFadden PD, Smith JD (1984) Vibration monitoring of rolling element bearings by the high-frequency resonancetechnique—a review. Tribol Int 17:3–10
Prashad H, Ghosh M, Biswas S (1985) Diagnostic monitoring of rolling-element bearings by high-frequency resonance technique. ASLE Trans 28:439–448
Su YT, Lin SJ (1992) On initial fault detection of a tapered roller bearing: Frequency domain analysis. J Sound Vib 155:75–84
Segla M, Shaoping W, Fang W (2012) Bearing fault diagnosis with an improved high frequency resonance technique. In: 2012 10th IEEE International Conference on Industrial Informatics (INDIN), pp 580–585
Martin KF, Thorpe P (1992) Normalised spectra in monitoring of rolling bearing elements. Wear 159:153–160
Randall RB, Antoni J, Chobsaard S (2001) The relationship between spectral correlation and envelope analysis in the diagnostics of bearing faults and other cyclostationary machine signals. Mech Syst Signal Process 15:945–962
Tandon N, Nakra BC (1992) Vibration and acoustic monitoring techniques for the detection of defects in rolling element bearings—a review. Shock Vib Dig 24:3–11
Yu D, Cheng J, Yang Y (2005) Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings. Mech Syst Sig Process 19:259–270
Yu B, Liu J, Wang C (2007) Rolling bearing fault diagnosis using refinement envelope analysis based on the EMD method. In: Huang D-S, Heutte L, Loog M (eds) Advanced intelligent computing theories and applications: with aspects of contemporary intelligent computing techniques, vol 2. Springer, Berlin, pp 562–570
Wan Z, Liao XZ, Xiong X, Han JC (2013) The rolling bearing fault diagnosis research based on improved Hilbert-Huang transformation. Appl Mech Mater 300–301:344–350
Wang D, Miao Q, Fan X, Huang H-Z (2009) Rolling element bearing fault detection using an improved combination of Hilbert and wavelet transforms. J Mech Sci Technol 23:3292–3301
Feldman M (2011) Hilbert transform in vibration analysis. Mech Syst Sig Process 25:735–802
Simon M, Tomlinson GR (1984) Use of the Hilbert transform in modal analysis of linear and non-linear structures. J Sound Vib 96:421–436
Tomlinson GR (1987) Developments in the use of the Hilbert transform for detecting and quantifying non-linearity associated with frequency response functions. Mech Syst Sig Process 1:151–171
Feldman M (1994) Non-linear system vibration analysis using Hilbert transform-II. Forced vibration analysis method Forcevib. Mech Syst Sig Process 8:309–318
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Al-Ahmari, A., Sinha, J.K., Asnaashari, E. (2015). A Comparison Between Hilbert Transform and a New Method for Signal Enveloping. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-09918-7_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09917-0
Online ISBN: 978-3-319-09918-7
eBook Packages: EngineeringEngineering (R0)