A direct updating method for damped gyroscopic systems using measured modal data

The matrix model updating problem (MMUP), considered in this paper, concerns updating a symmetric second-order finite element model so that the updated model can reproduce a given set of measured eigenvalues and eigenvectors by replacing the corresponding ones from the original model, and preserves the symmetry of the original model. The MMUP can be mathematically formulated as following two problems. Problem 1: Given Ma∈Rn×n,Λ=diag{λ1,…,λp}∈Cp×p,X=[x1,…,xp]∈Cn×p, where p