Modal Assurance Criterion

This article reviews the using of the original Modal Assurance Criterion (MAC). The Modal Assurance Criterion is a statistical indicator that is most sensitive to large differences and relatively insensitive to small differences in the mode shapes. This yields a good statistic indicator and a degree...

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Veröffentlicht in:Procedia engineering Jg. 48; S. 543 - 548
Hauptverfasser: Pastor, Miroslav, Binda, Michal, Harčarik, Tomáš
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 2012
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ISSN:1877-7058, 1877-7058
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Abstract This article reviews the using of the original Modal Assurance Criterion (MAC). The Modal Assurance Criterion is a statistical indicator that is most sensitive to large differences and relatively insensitive to small differences in the mode shapes. This yields a good statistic indicator and a degree of consistency between mode shapes. The MAC considers only modal shapes which mean that a separate frequency comparison must be used in conjunction with the MAC values to determine the correlated mode pairs. The MAC is often to used to pair modes shapes derived from analytical models with those obtained experimentally. It is easy to apply and does not require an estimate of the system matrices. It is bounded between 0 and 1, with 1 indicating fully consistent mode shapes. It can only indicate consistency and does not indicate validity or orthogonality. A value near 0 indicates that the modes are not consistent.
AbstractList This article reviews the using of the original Modal Assurance Criterion (MAC). The Modal Assurance Criterion is a statistical indicator that is most sensitive to large differences and relatively insensitive to small differences in the mode shapes. This yields a good statistic indicator and a degree of consistency between mode shapes. The MAC considers only modal shapes which mean that a separate frequency comparison must be used in conjunction with the MAC values to determine the correlated mode pairs. The MAC is often to used to pair modes shapes derived from analytical models with those obtained experimentally. It is easy to apply and does not require an estimate of the system matrices. It is bounded between 0 and 1, with 1 indicating fully consistent mode shapes. It can only indicate consistency and does not indicate validity or orthogonality. A value near 0 indicates that the modes are not consistent.
Author Pastor, Miroslav
Harčarik, Tomáš
Binda, Michal
Author_xml – sequence: 1
  givenname: Miroslav
  surname: Pastor
  fullname: Pastor, Miroslav
– sequence: 2
  givenname: Michal
  surname: Binda
  fullname: Binda, Michal
  email: michal.binda@gmail.com
– sequence: 3
  givenname: Tomáš
  surname: Harčarik
  fullname: Harčarik, Tomáš
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Keywords Modal Testing
Modal Assurance Criterion
Experimental Modal Anlaysis
Language English
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References Kožešn’k, J. 1979. Kmitán’ mechanických soustav. Academica.
Randall, J., A. 2003. The Modal Assurance Criterion – Twenty Years of Use and Abuse, Sound and Vibration, August 2003.,pp. 14-20.
AvilŽs, R. 2009, The Modal Assurance Criterion (MAC). Bilbao.
Bilošová, A. 2001. Experimentáln’ modáln’ analýza. Spectris Praha spol. s.r.o., Praha.
Ewins, D., J. 2000. Modal Testing: Theory, Practice and Application, Research Studies Press Ltd., USA.
Miláček, S. 1992. Modáln’ analýza mechanických kmitú. ČVUT, Praha.
Fotsch, D., Ewins, D., J. Application of MAC in the Frequency Domain, Mechanical Engineering Department, Imperial College of Science,Technology and Medicine, London, UK.
Ewins, D., J. 2000. Model Validation: Correlation for updating. Sadhana, Vol. 25, part 3, June 2000, pp 221-234.
Rades, M., 2010. Mechanical Vibrations II – Structural Dynamic Modelling. Editura PRINTECH.
Trebuňa, F., Šimčák, F. 2007. Pr’ručka experimentálnej mechaniky. Typopress, Košice.
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References_xml – reference: Ewins, D., J. 2000. Model Validation: Correlation for updating. Sadhana, Vol. 25, part 3, June 2000, pp 221-234.
– reference: Randall, J., A. 2003. The Modal Assurance Criterion – Twenty Years of Use and Abuse, Sound and Vibration, August 2003.,pp. 14-20.
– reference: AvilŽs, R. 2009, The Modal Assurance Criterion (MAC). Bilbao.
– reference: Ewins, D., J. 2000. Modal Testing: Theory, Practice and Application, Research Studies Press Ltd., USA.
– reference: Fotsch, D., Ewins, D., J. Application of MAC in the Frequency Domain, Mechanical Engineering Department, Imperial College of Science,Technology and Medicine, London, UK.
– reference: Trebuňa, F., Šimčák, F. 2007. Pr’ručka experimentálnej mechaniky. Typopress, Košice.
– reference: Miláček, S. 1992. Modáln’ analýza mechanických kmitú. ČVUT, Praha.
– reference: Bilošová, A. 2001. Experimentáln’ modáln’ analýza. Spectris Praha spol. s.r.o., Praha.
– reference: Rades, M., 2010. Mechanical Vibrations II – Structural Dynamic Modelling. Editura PRINTECH.
– reference: Kožešn’k, J. 1979. Kmitán’ mechanických soustav. Academica.
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Snippet This article reviews the using of the original Modal Assurance Criterion (MAC). The Modal Assurance Criterion is a statistical indicator that is most sensitive...
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SubjectTerms Experimental Modal Anlaysis
Modal Assurance Criterion
Modal Testing
Title Modal Assurance Criterion
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