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A General Linear Least Squares SDOF Algorithm for Identifying Eigenvalues and J. H. Ginsberg, M. Allen, A. Ferri, and C. Moloney
 

Summary: A General Linear Least Squares SDOF Algorithm for Identifying Eigenvalues and
Residues
J. H. Ginsberg, M. Allen, A. Ferri, and C. Moloney
The G. W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology Atlanta, GA 30332-0405
October 2, 2002
Abstract
Large damping levels, low signal to noise ratio, and
low frequency resolution can cause difficulties for current
SDOF SISO algorithms that identify natural frequency,
modal damping ratio, and the residue associated with
each eigenvalue. This paper offers an alternative tech-
nique that through a change of variables leads to a set of
linear equations for the complex eigenvalue and residue.
The approach resembles the least-squares procedure de-
scribed by Phillips and Allemang [Proc. 14th Interna-
tional Modal Analysis Conference, 1996], but it avoids
the approximation that the complex conjugate residue is
unimportant. For noise-free data, the procedure yields
the exact parameters from FRF values at any two fre-

  

Source: Allen, Matthew S. - Department of Engineering Physics, University of Wisconsin at Madison

 

Collections: Engineering