1. Applying the Resonance Frequencies of Mechanical System in the Analysis of Bearing Vibration 沈毓泰 南台科技大學 機械系 副教授

2. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 2 Signal processing for bearing defect vibration typical of amplitude modulation 1 、 Introduction A single mode vibration

3. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 3 2. High frequency resonance technique The traditional signal processing band-pass filter  rectifier  low-pass filter The demodulated single

4. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 4 3 、 Mechanical vibration analysis The vibration signal with amplitude modulation for the bearing vibration

5. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 5 The vibration signal for the lth mode vibration would be i: the sampling point of the bearing vibration f s : the sampling frequency i e : the interval number of the envelope signals

6. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 6 the number of data points is h over the kth half period 4 、 The envelope estimation

7. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 7 The solution obtained in a linear least squares sense would be The envelope signal would be

8. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 8 Four advantages the envelope estimation algorithm could theoretically retrieve several envelope signals corresponding to their mode vibrations and the envelope signals are less distorted. the envelope signals would automatically become low-sampling-rate signals.

9. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 9 it is easy in calculation to retrieve the envelope signals from a modulated vibration or even to reconstruct the modulated vibration from the envelope signals. the resonance frequencies could be recursively estimated to improve their accuracy by applying the envelope estimation algorithm.

10. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 10 The vibration spectra corresponding to different vibration modes 5 、 Experimental Study

11. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 11 The signal for the roller defect bearing and its envelope estimation.

12. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 12 The envelope spectra corresponding to different vibration modes

13. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 13 The envelope spectra derived from high frequency resonance technique

14. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 14 The signal for the normal bearing and its envelope estimation.

15. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 15 The vibration spectra corresponding to different vibration modes

16. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 16 The envelope spectra corresponding to different vibration modes

17. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 17 The envelope spectra derived from high frequency resonance technique

18. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 18 4 、 Conclusion the signal processing is easily carried out with the linear least square analysis. the signal processing method could be easily reversed for the signal reconstruction with noising rejection. the signal processing could derive an envelope signal with little distortion.

19. 2007/ 5/ 19 南台科大 訊號處理與機械診斷實驗室 19 Thank you very much.