An Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems

Yongxin Yuan

Mathematical Problems in Engineering, 2009, vol. 2009, 1-10

Abstract:

The inverse eigenvalue problem of constructing symmetric positive semidefinite matrix ð · (written as ð · â‰¥ 0 ) and real-valued skew-symmetric matrix ð º (i.e., ð º ð ‘‡ = − ð º ) of order ð ‘› for the quadratic pencil ð ‘„ ( 𠜆 ) ∶ = 𠜆 2 ð ‘€ ð ‘Ž + 𠜆 ( ð · + ð º ) + ð ¾ ð ‘Ž , where ð ‘€ ð ‘Ž > 0 , ð ¾ ð ‘Ž ≥ 0 are given analytical mass and stiffness matrices, so that ð ‘„ ( 𠜆 ) 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:725616

DOI: 10.1155/2009/725616

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