Signature analysis of mechanical watch movements

Abstract This paper presents a new application of the signature analysis for mechanical watch movements. Contrary to the existing method, it analyzes the time–frequency features of a mechanical watch movement through a combination of two well-known techniques: reassigned time–frequency distributions (RTFD) and finite element analysis (FEA). By mapping the signal into a two-dimensional domain of time and frequency, RTFD reveals the frequency components at different time of the movement, while FEA gives the theoretical frequency response of the movements. By comparing the frequency components at different time of the movements to the theoretical frequency response of the movement, various malfunctions of the movement can then be detected. The effectiveness of the presented method is tested for some specific fault diagnosing examples. For completeness, a brief introduction of RTFD is given in the Appendix.

[1]  S. Mallat A wavelet tour of signal processing , 1998 .

[2]  C. Sriphung,et al.  Modelling and simulation of a fluid-driven microturbine , 2005, 2005 International Symposium on Electronics Materials and Packaging.

[3]  Feng Gao,et al.  The modeling and simulations of the circuit element based on finite element methods , 2005, IEEE International Conference on Vehicular Electronics and Safety, 2005..

[4]  James K. Mills,et al.  Modal analysis of microgrippers used in assembly of MEMS devices , 2005, 2005 International Conference on MEMS,NANO and Smart Systems.

[5]  Thippur V. Sreenivas,et al.  Automatic speech segmentation using average level crossing rate information , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[6]  S.M. Kay,et al.  Spectrum analysis—A modern perspective , 1981, Proceedings of the IEEE.

[7]  Thippur V. Sreenivas,et al.  Instantaneous frequency estimation using level-crossing information , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[8]  S. Qian,et al.  Joint time-frequency analysis : methods and applications , 1996 .

[9]  R. Bracewell The Fourier Transform and Its Applications , 1966 .

[10]  Hui Li,et al.  Bearing Faults Diagnosis Based on EMD and Wigner-Ville Distribution , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[11]  Patrick Flandrin,et al.  Improving the readability of time-frequency and time-scale representations by the reassignment method , 1995, IEEE Trans. Signal Process..

[12]  Alessandro Fasana,et al.  Finite element analysis of vibrating linear systems with fractional derivative viscoelastic models , 2007 .

[13]  Peter W. Tse,et al.  Detection of the rubbing-caused impacts for rotor–stator fault diagnosis using reassigned scalogram , 2005 .

[14]  H. Van der Auweraer Structural dynamics modeling using modal analysis: applications, trends and challenges , 2001, IMTC 2001.

[15]  E. E. Antonova,et al.  Finite elements for thermoelectric device analysis in ANSYS , 2005, ICT 2005. 24th International Conference on Thermoelectrics, 2005..

[16]  Michael R. Hatch,et al.  Vibration Simulation Using MATLAB and ANSYS , 2000 .

[17]  Tom E. Bishop,et al.  Blind Image Restoration Using a Block-Stationary Signal Model , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[18]  Haym Benaroya,et al.  Mechanical Vibration: Analysis, Uncertainties, and Control , 1997 .

[19]  F.L. Deibel,et al.  Calculating residual manufacturing stresses in braze joints using ANSYS , 1987, IEEE Transactions on Electron Devices.

[20]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.