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Mechanical systems and signal processing v.103, 2018년, pp.236 - 249   SCIE
본 등재정보는 저널의 등재정보를 참고하여 보여주는 베타서비스로 정확한 논문의 등재여부는 등재기관에 확인하시기 바랍니다.

An alternative representation of the receptance: The 'elliptical plane' and its modal properties

Montalvão, Diogo (Department of Design and Engineering, Faculty of Science and Technology, Bournemouth University, Poole House, Talbot Campus, Fern Barrow, Poole BH12 5BB, United Kingdom ) ; Amafabia, Daerefa-a Mitsheal (School of Engineering and Technology, University of Hertfordshire, College Lane Campus, Hatfield AL10 9AB, United Kingdom ) ;
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    Abstract Modal Identification from Frequency Response Functions (FRFs) has been extensively investigated up to the point its research reached a stagnation state. Yet, a new approach to determine the modal damping factors from FRFs was recently proposed, showing that there still is scope for new findings in the field. Contrary to other modal identification methods which are based on the dynamic motion governing equations, the method used the dissipated energy per cycle of vibration as a starting point. For lightly damped systems with conveniently spaced modes, it produced quite accurate results, especially when compared to the well-known method of the inverse. The method used a plot of the sine of the phase of the receptance against its amplitude, whereby damping was determined from the slope of a linear fit to the resulting plot. In this paper, it is shown that this plot has other (perhaps more important) special properties that were not explored before. Near resonant frequencies, its shape is elliptical, whereby the real and imaginary parts of the modal constants can be determined from numerical curve-fitting. This finding allowed developing a new method which formulation is presented in this paper. The method is discussed through numerical and experimental examples. Although the intention is not to present a new modal identification method that is superior to other existing ones (like the method of the inverse or those based on the Nyquist plot), the authors believe that this new representation of the receptance and its properties may bring valuable insights for other researchers in the field. Highlights The receptance is presented from a new different perspective: ‘elliptical plane’. A novel method for the identification of the modal constants is presented. The starting point is the dissipated energy per vibration cycle. Identification is made directly from measured Frequency Response Functions. It produced encouraging results for lightly damped systems with spaced mode shapes.


  • 주제어

    Experimental modal analysis (EMA) .   Modal identification .   Modal constants .   Dissipated energy .   Elliptical plane.  

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