Determination of the correlation dimension from experimental chaotic time series data
involves two steps. First, reconstruction of the attractor using the time delay method from the …

There is a wide variety of condition monitoring techniques currently in use for the diagnosis
and prediction of machinery faults, but little attention has been paid to the occurrence and …

This paper reports a study of correlation dimension in gearbox condition monitoring. In
contrast to other fault diagnosis methods, such as Fourier spectrum analysis, time-frequency …

In this paper, we introduce a modified form of the correlation integral developed by
Grassberger and Procaccia referred to as the partial correlation integral, which can be …

In recent years there has been an increasing interest in applying cyclostationary analysis to
the diagnostics of machine vibration signals. This is because some machine signals, while …

This paper reports on the application of the correlation dimension in large rotating
machinery fault diagnosis. The Grassberger-Procaccia algorithm and its modified version …

This paper investigates the effect of localized faults on the chaotic vibration of rolling
element bearings. The presence of chaotic behavior is demonstrated using experimental …

Envelope analysis is one of the most advantageous methods for rolling element bearing
diagnostics but finding a suitable frequency band for demodulation has been a substantial …

In this paper the application of embedding space and fractal dimension estimation to monitor
the condition of a system with clearance is considered by examining the effect on the …

Diagnosing the rolling bearings using vibration signals requires advanced signal analysis
methods. The envelope spectrum analysis method is commonly used, but it requires the …