TIME-VARIANT FREQUENCY RESPONSE FUNCTION FOR ANALYSIS OF TIME-VARYING MECHANICAL SYSTEMS
DOI:
https://doi.org/10.7494/mech.2015.34.2.29Keywords:
system identification, time-variant systems, natural frequency, wavelets analysis, Crazy Climbers algorithmAbstract
System Identification is an important and often complex process in many areas of engineering. This process is not easy when parameters of the analysed system vary with time. In such cases classical methods fail to identify parameters properly. The work demonstrated in this paper deals with identification of natural frequencies of time-variant systems. The paper presents the application of the Time-Variant Frequency Response Function for this analysis. Calculation procedure requires division of output spectrum by input spectrum which often leads to division by close to zero values, and that leads to infinite (or undefined) values of resulting transfer function. Additional processing is required for interpretation. The major focus and challenge relate to ridge extraction of the above time-frequency characteristics. The methods presented in the paper are illustrated using experimental multi-degree-of-freedom system. The results show that the proposed method captures correctly the dynamics of the analysed time-variant systems.Downloads
References
Butt F. and Omenzetter P. 2011, Long term seismic response monitoring and finite element modeling of a concrete building considering soil flexibility and non-structural components. SPIE Smart Structures and Materials+ Nondestructive Evaluation and Health Monitoring. International Society for Optics and Photonics.
Carmona R., Hwang W.L., and Torrésani B. 1998, Practical Time-Frequency Analysis: Gabor and Wavelet Transforms With an Implementation in S. Wavelet Analysis and Its Applications, Vol 9. Academic Press, Incorporated.
Cohen L. 1995, Time-frequency analysis, volume 778. Prentice Hall PTR New Jersey.
Dziedziech K., Staszewski W. J., and Uhl T. 2014, Wavelet-based frequency response function – comparative study of input excitation. Shock and Vibration. https://doi.org/10.1155/2014/502762
Dziedziech K., Staszewski W. J., and Uhl T. 2015, Wavelet-based modal analysis for time-variant systems. Mechanical Systems and Signal Processing 50 323-337. https://doi.org/10.1016/j.ymssp.2014.05.003
Memari A. M., Aghakouchak A. A., Ashtiany M. G., and Tiv M. 1999, Full-scale dynamic testing of a steel frame building during construction. Engineering Structures, 21(12):1115 – 1127. https://doi.org/10.1016/S0141-0296(98)00068-6
Nagarajaiah S. and Basu B. 2009, Output only modal identification and structural damage detection using time frequency & wavelet techniques. Earthquake Engineering and Engineering Vibration, 8(4):583–605. https://doi.org/10.1007/s11803-009-9120-6
Ni YQ, Li B, Lam KH, Zhu DP, Wang Y, Lynch JP, and Law KH 2011, In-construction vibration monitoring of a super-tall structure using a long-range wireless sensing system. Smart Structures and Systems, 7(2):83–102. https://doi.org/10.12989/sss.2011.7.2.083
Poulimenos A.G. and Fassois S.D. 2006, Parametric time-domain methods for non-stationary random vibration modelling and analysis - a critical survey and comparison. Mechanical Systems and Signal Processing, 20(4):763–816. https://doi.org/10.1016/j.ymssp.2005.10.003
Robertson A. N. and Basu B. 2009, Wavelet Analysis. John Wiley & Sons, Ltd.
Spiridonakos M.D. and Fassois S.D. 2009, Parametric identification of a time-varying structure based on vector vibration response measurements. Mechanical Systems and Signal Processing, 23(6):2029–2048. https://doi.org/10.1016/j.ymssp.2008.11.004
Staszewski W. J. and Giacomin J. 1997, Application of the wavelet based frfs to the analysis of nonstationary vehicle data. In Proceedings - SPIE the International Society for Optical Engineering, pages 425–431.
Staszewski W. J. and Robertson A. N. 2007, Time–frequency and time–scale analyses for structural health monitoring. Philosophical Transactions of the Royal Society A: Mathematical,Physical and Engineering Sciences, 365(1851):449–477. https://doi.org/10.1098/rsta.2006.1936
Staszewski W. J. and Wallace D. M. 2014, Wavelet-based frequency response function for time-variant systems - an exploratory study. Mechanical Systems and Signal Processing 47(1), 35-49. https://doi.org/10.1016/j.ymssp.2013.03.011
Downloads
Published
Issue
Section
License
Remember to download, sign, scan and attach the copyright notice
This file should be uploaded as a Supplementary file (Step 4) of the submission procedure.