Inverse Eigenvalue Problem for a Modified Vibrating System
Copyright policy )Inverse Eigenvalue Problem for a Modified Vibrating System
This paper studies the realizability of a mass-spring system, whose eigenvalues are known both for the simply connected system and for the modified system with one oscillator of known mass and stiffness added. The modified system can be interpreted as a rank two modification to the tridiagonal generalized eigenvalue equation. Its solvability depends on the ratio of the oscillator's stiffness and mass in relation to the unmodified system's eigenvalues and is governed by interlacing.
stiffness, Linear vibration theory, interlacing, oscillator, eigenvalues, vibrating system, inverse eigenvalue problem, mass-spring system, Inequalities involving eigenvalues and eigenvectors
stiffness, Linear vibration theory, interlacing, oscillator, eigenvalues, vibrating system, inverse eigenvalue problem, mass-spring system, Inequalities involving eigenvalues and eigenvectors
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