The spectrum analysis by means of FFT (fast Fourier transform) analysis has been widely used in mechanical signature analysis. An alternative method is proposed in the paper for condition monitoring and diagnostics of reciprocating machines. A modified LMS (least mean square) algorithm is proposed in order to model the impulse-like signals with non-stationarity. Convergence of the algorithm is investigated. The approach presented is suitable to real-time monitoring during the process of working operation and fault diagnostics of reciprocating machines.
Get full access to this article
View all access options for this article.
References
1.
BoyesJ. D.Noise and vibration analysis of reciprocating machines. Noise and Vibr. Control, April 1981.
2.
The application of vibration measurement and analysis in machine maintenance. Report, October 1982, Brüel & Kjaer, Denmark.
3.
ZhugeQ.LuY.YangS.Non-stationary modeling of vibration signals for monitoring the condition of machinery. Mech. System and Signal Processing, 1990, 4(5), 355–365.
4.
WidrowB.HoffM. E.JrAdaptive switching circuits. IRE Wescon Convention Record, Part 4, 1960, pp. 96–104.
5.
WidrowB.McCoolJ. M.LarimoreM. G.JohnsonC. R.JrStationary and nonstationary learning characteristics of the LMS adaptive filter. Proc. IEEE, 1976, 64, 1151–1162.
6.
GardnerW.Learning characteristics of stochastic-gradient-descent algorithms: A general study. Analysis and critique. Signal Processing, 1984, 6, 113–133.
7.
KushnerH. J.HuangH.Rate of convergence for stochastic approximation type algorithms. SIAM J. Contr. Optimiz., 1979, 17(5), 607–617.
8.
MacchiO.EwedaE.Second-order convergence analysis of stochastic adaptive linear filtering. IEEE Trans., Automat. Contr., 1983, AC-28, 76–85.
9.
YassaF. F.Optimality in the choice of the convergence factor for gradient-based adaptive algorithms. IEEE Trans., Acoust. Speech and Signal Processing, January 1987, ASSP-35(1), 48–59.
10.
GriffithsL. J.Rapid measurement of digital instantaneous frequency. IEEE Trans., Acoust. Speech and Signal Processing, April 1975, ASSP-23(2), 207–223.
11.
FeuerA.WeinsteinE.Convergence analysis of LMS filters with uncorrelated Gaussian data. IEEE Trans., Acoust. Speech and Signal Processing, February 1985, ASSP-33(1), 222–230.
12.
OrfanidisS. J.Optimum signal processing: an introduction, 1985 (Macmillan).
13.
ZhangT.ZhugeQ.ChenY.The diagnosis and analysis of slipper looseness failure in an axial piston pump. Second International Conference on Fluid power transmission and control, Hang-zhou, People's Republic of China, 20–22 March 1989.
14.
ZhugeQ.FuZ.LuY.The working condition monitoring and diagnostics of piston pump with vibration measurement. J. Fluid Control (to be published).
