An Inverse Eigenvalue Problem for Damped Gyroscopic Second‐Order Systems
Yongxin Yuan · Mathematical Problems in Engineering · 2009
The inverse eigenvalue problem of constructing symmetric positive semidefinite matrix D (written as D ≥ 0) and real‐valued skew‐symmetric matrix G (i.e., GT = −G) of order n for the quadratic pencil Q(λ): = λ2Ma + λ(D + G) + Ka, where Ma > 0, Ka ≥ 0 are given analytical mass and stiffness matrices, so that Q(λ) has a prescribed subset of eigenvalues and eigenvectors, is considered. Necessary and sufficient conditions under which this quadratic inverse eigenvalue problem is solvable are specified.