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The impeller of turbo machinery is a typical nonlinear multi-oscillator system. The vibration of each module is coupling, including fluid-solid coupling of the blade. The subject of our investigation was a KDF-5 mine fan for which we analyzed air vibration signals and axial vibration signals by using correlation dimension analysis under five variable working conditions. The results indicate that their correlation dimension curves show a uniform trend. That is to say, the characteristics of the variation signals of the integral structure are correlated and mutually embodied. It proves that it is possible to monitor the working state of a mine fan by coupling the vibration signals and air vibration signals for these are more sensitive in representing the status of the impeller system.