Enhancement of coherence functions using time signals in Modal Analysis

Abstract Experimental Modal Analysis (EMA) and Operational Modal Analysis (OMA) are two widely used techniques in the identification of modal parameters. EMA is synonymous with a laboratory environment requiring complete system shutdown while OMA is implemented in a real environment where the ambient forces cannot be isolated. A new method, namely Impact-Synchronous Modal Analysis (ISMA) utilising the modal extraction techniques commonly used in EMA but performed in the presence of the ambient forces, is proposed. Transfer functions, from where the modal parameters are extracted, are obtained from Fourier transform of cross and auto correlation functions. These functions are estimated quantities and their outcomes are dependable on the averaging techniques used. The coherence functions are commonly used to measure the acceptability of the estimations. Impact-Synchronous Time Averaging is compared against Spectral Averaging while performing Modal Analysis in a situation containing ambient and operating forces. Results showed that while the transfer functions obtained from both the averaging techniques were of similar quality, the Impact-Synchronous Time Averaging indicated better coherence than the Spectral Averaging.

[1]  James D. Broesch Digital Signal Processing: Instant Access , 2008 .

[2]  Brian Schwarz,et al.  MODAL PARAMETER ESTIMATION FROM AMBIENT RESPONSE DATA , 2001 .

[3]  D. J. Ewins,et al.  Modal Testing: Theory and Practice , 1984 .

[4]  D. Kang,et al.  PHASE DIFFERENCE CORRECTION METHOD FOR PHASE AND FREQUENCY IN SPECTRAL ANALYSIS , 2000 .

[5]  Zubaidah Ismail,et al.  Effectiveness of Impact-Synchronous Time Averaging in determination of dynamic characteristics of a rotor dynamic system , 2011 .

[6]  Palle Andersen,et al.  Modal Identification from Ambient Responses using Frequency Domain Decomposition , 2000 .

[7]  Randall J. Allemang,et al.  A frequency domain global parameter estimation method for multiple reference frequency response measurements , 1988 .

[8]  J. Juang Applied system identification , 1994 .

[9]  E. C. Mikulcik,et al.  A method for the direct identification of vibration parameters from the free response , 1977 .

[10]  Kurt Bryan,et al.  Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing , 2008 .

[11]  Daniel Rixen,et al.  A modified Ibrahim time domain algorithm for operational modal analysis including harmonic excitation , 2004 .

[12]  Rune Brincker,et al.  Modal Indicators for Operational Modal Identification , 2001 .

[13]  Nuno M. M. Maia,et al.  Theoretical and Experimental Modal Analysis , 1997 .

[14]  J. Leuridan,et al.  Time Domain Parameter Identification Methods for Linear Modal Analysis: A Unifying Approach , 1986 .

[15]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[16]  Brian Schwarz,et al.  Using a De-Convolution Window for Operating Modal Analysis , 2007 .

[17]  Jennifer H. Klapper Discrete Fourier Analysis and Wavelets , 2010 .

[18]  David L. Brown,et al.  Modal Parameter Estimation: A Unified Matrix Polynomial Approach , 1994 .

[19]  Ding Kang,et al.  CORRECTIONS FOR FREQUENCY, AMPLITUDE AND PHASE IN A FAST FOURIER TRANSFORM OF A HARMONIC SIGNAL , 1996 .

[20]  Jer-Nan Juang,et al.  An Eigensystem Realization Algorithm in Frequency Domain for Modal Parameter Identification , 1986 .

[21]  Mark Richardson,et al.  PARAMETER ESTIMATION FROM FREQUENCY RESPONSE MEASUREMENTS USING RATIONAL FRACTION POLYNOMIALS (TWENTY YEARS OF PROGRESS) , 1982 .

[22]  Yanyang Zi,et al.  Vibration based operational modal analysis of rotor systems , 2008 .