The effect of modal truncation on the damping ratio and their derivatives with respect to an added mass is investigated for a simply supported, multispan beam with a linear quadratic Gaussian control system. It is found that both the damping ratios and derivatives converge slowly, but the derivatives converge more slowly than the damping ratios. However, it is shown that when Ritz vectors corresponding to static displacements due to actuator forces are added to the reduced model, the convergence of both the damping ratios and their derivatives is accelerated. It is also shown that the accuracy of the damping ratio predicted by a reduced-model control design can be improved significantly if the Ritz vectors are included in the design of the control system. Thus, it appears that Ritz vectors added to the reduced model of flexible structures can improve greatly the accuracy of both the design and analysis of the control system.
Modal truncation, Ritz vectors, and derivatives of closed-loop damping ratios
1991-08-01
Miscellaneous
No indication
English
Modal Truncation Vectors for Reduced Dynamic Substructure Models
British Library Conference Proceedings | 2000
|Dynamic Modal Truncation-Relaxation
Online Contents | 1996
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