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Combining multiple single-reference transmissibility functions in a unique matrix formulation for operational modal analysis.

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Title: Combining multiple single-reference transmissibility functions in a unique matrix formulation for operational modal analysis.
Authors: Devriendt, C.1 cdevrien@vub.ac.be, Weijtjens, W.1, De Sitter, G.1, Guillaume, P.1
Source: Mechanical Systems & Signal Processing. Oct2013, Vol. 40 Issue 1, p278-287. 10p.
Subjects: Matrix inversion, Mechanical loads, Mathematical functions, Mathematical formulas, Mathematical models, System identification
Abstract: Abstract: In recent years, the authors have proposed an innovative approach for Operational Modal Analysis based on transmissibility measurements. A method was proposed based on combining 2 single-reference transmissibility functions that were obtained during 2 different loading conditions. However in practice one in general has access to multiple transmissibility functions and perhaps even multiple loading conditions. In this paper a new method is introduced that combines all the measured single-reference transmissibility functions in a unique matrix formulation in order to identify system poles. It will be shown that each element of the pseudo-inverse of this matrix is a rational function with poles equal to the system poles. The proposed method reduces the risk to miss system poles and to identify extra non-physical poles. Therefore the method increases the usability and reliability of transmissibility based operational modal analysis (TOMA). The method will be demonstrated and validated by means of an experiment on a beam excited at multiple inputs for three different loading conditions. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: In recent years, the authors have proposed an innovative approach for Operational Modal Analysis based on transmissibility measurements. A method was proposed based on combining 2 single-reference transmissibility functions that were obtained during 2 different loading conditions. However in practice one in general has access to multiple transmissibility functions and perhaps even multiple loading conditions. In this paper a new method is introduced that combines all the measured single-reference transmissibility functions in a unique matrix formulation in order to identify system poles. It will be shown that each element of the pseudo-inverse of this matrix is a rational function with poles equal to the system poles. The proposed method reduces the risk to miss system poles and to identify extra non-physical poles. Therefore the method increases the usability and reliability of transmissibility based operational modal analysis (TOMA). The method will be demonstrated and validated by means of an experiment on a beam excited at multiple inputs for three different loading conditions. [Copyright &y& Elsevier]
ISSN:08883270
DOI:10.1016/j.ymssp.2013.04.008