The Use of Correlation Dimension in Condition Monitoring of Systems With Clearance

The Application of Pseudo-Phase Portrait in Machine Condition Monitoring

“…The differential equations are solved numerically using a fourth order Runge-Kutta integration with a desired accuracy of 10 À6 : Figure 1 (11,12), (13,10), (16,8), (21,6). window lengths that are equal.…”

Singularity analysis of the vibration signals by means of wavelet modulus maximal method

“…The well accepted features include frequency based [1], energy based [2] and wavelet coefficients based features [3], most of which usually can be obtained by the Fourier transform (FT) [1], wavelet transform (WT) [3] analysis methods [4]. Besides these common fault features, there are still some other unfamiliar but often effective fault features, such as the fractal dimension [5,6], which often involve the geometrical character of similarity at different scales of the analysed signals. According to the study of Logan and Mathew [6], the fractal dimension can be used as indexes to tell apart the different conditions of working bearings, including the normal, outer race fault and inner race fault.…”

Bifurcation boundary analysis as a nonlinear damage detection feature: does it work?

“…For example, damage detection in nonlinear systems using system augmentation (D'Souza and , identification of damage in an aeroelastic system based on attractor changes (Epureanu and Yin, 2004), enhancing nonlinear dynamics for accurate identification of stiffness loss in a thermo-shielding panel , using attractor dimension as a feature in structural health monitoring (Craig et al, 2000;Nichols et al, 2003b), structural health monitoring through chaotic interrogation (Nichols et al, 2003a) are some of the methods that use vibrational data of a nonlinear system for damage detection. Yin and Epureanu (2005) proposed a bifurcation boundary analysis method as a new nonlinear damage detection tool and used it to track bifurcation boundary changes due to damages over a small region of an aeroelastic panel model.…”