Weak signal detection is an important technique, it is widely applied in various fields. Being different from other weak signal processing methods, stochastic resonance (SR) can utilize noise to detect characteristic signals.Van der Pol oscillator has rich dynamic properties,and is extensively applied in chaotic detection. Here, Duffing oscillator and Van der Pol oscillator were linearly coupled, and a differential term was added as the feedback of the coupled system for enhancing coupling degree to construct a Duffing-Van der Pol strongly coupled system. It was found with experiments that the system has rich SR phenomena,through the generalized time scale transformation, it can realize weak signal detection under arbitrary characteristic frequency. Experimental results showed that the strongly coupled system has better stability than the general coupled one does;under the background of trichotomous noise, the system’s output mean signal-noise ratio gain presents different symmetric distributions with variation of trichotomous noise state values;in the controlled system, with gradual increase in damping coefficient,the output response is gradually smooth; in the control system,when damping coefficient is very small, secondary resonance appears in the system output,with increase in damping coefficient,the second resonance peak gradually decreases until it disappears, and the first resonance peak gradually increases, this is because the well to well resonance completely replaces the joint resonance in and between wells.Finally, the genetic algorithm (GA) was used to do adaptive parametric optimization. It was found that compared with the traditional bi-stable and coupled Duffing systems, the proposed system has a higher output mean signal-noise ratio gain; after testing, the system has a good detection effect on the actual bearing fault signals, compared with the traditional bi-stable system, it can more significantly eliminate the side frequency signal interference.
Key words
stochastic resonance /
Duffing oscillator /
Van der pol oscillator /
trichotomous noise /
weak signal detection /
bearing fault diagnosis
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