Model Updating Using Eigenvalue-Eigenvector Measurements

Bayesian Methods for Structural Dynamics and Civil Engineering Ka-Veng Yuen 2010 John Wiley Sons (Asia) Pte Ltd 

Bayesian Methods for Structural Dynamics and Civil Engineering 

For structural/mechanical dynamics problems, the equation of motion of a linear system with Nd degrees of freedom (DOFs) is given by  

Recently, methods have been proposed for solving this model updating problem which avoid mode matching [18,51,52,267]. This is accomplished by employing the concept of system mode shapes that are used to represent the actual mode shapes of the structural system at all degrees of freedom corresponding to those of the dynamical model, but they are distinct from the 

let s introduce the key idea of the proposed approach with a simple ideal example. Consider the generalized eigen equation for the mth mode of the structure  

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