An Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems

作者：Yuan Yongxin^*

来源：Mathematical Problems in Engineering, 2009, 2009: 725616.

DOI：10.1155/2009/725616

The inverse eigenvalue problem of constructing symmetric positive semidefinite matrixD (written as D >= 0) and real-valued skew-symmetric matrix G (i.e., G(T) = -G) of order n for the quadratic pencil Q (lambda) := lambda(2)M(a) lambda(D G) K(a), where M(a) > 0, K(a) >= 0 are given analytical mass and stiffness matrices, so that Q (lambda) 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.

• 出版日期2009
• 单位江苏大学