Eigenvalue bounds for linear mechanical systems with nonmodal damping (Q1090476)
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scientific article; zbMATH DE number 4007773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalue bounds for linear mechanical systems with nonmodal damping |
scientific article; zbMATH DE number 4007773 |
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Eigenvalue bounds for linear mechanical systems with nonmodal damping (English)
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1987
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Eigenvalue bounds for damped linear mechanical systems are presented based on a 'modified equation of state'. The system exhibits nonmodal damping, by which we mean that classical normal modes do not obtain. The special case of an underdamped system is discussed, leading to bounds on a generalized damping ratio. The bounds are expressed in terms of the extreme eigenvalues of the constituent matrices. Geometrically, they define rectangular regions in the complex plane which contain the system eigenvalues.
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Eigenvalue bounds
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damped linear mechanical systems
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modified equation of state
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nonmodal damping
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underdamped system
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damping ratio
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extreme eigenvalues
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