Approximate expressions are developed for internally balanced singular values corresponding to the modes of mechanical systems with gyroscopic forces, light damping, and small circulatory forces. A brief overview is first given of the balanced realization model reduction method, including a discussion of recent work. The models considered are defined, and a perturbation analysis is used to show that the modal representation becomes asymptotically balanced as damping reduces to zero. The approximate balanced singular values are calculated, and a simple example of a flexible, dual-spin spacecraft is given as an illustration of the results.
Perturbation analysis of internal balancing for lightly damped mechanical systems with gyroscopic and circulatory forces
1987-08-01
Miscellaneous
No indication
English
Perturbation method for the eigenvalue problem of lightly damped systems
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