Abstract
In order to control flexible mechanical structures, reduced-order mathematical models are required for the computer control system. Several modeling methods have been proposed for vibration analysis and control. This paper discusses the following four modeling methods : modal method, Guyan's method, quasi-modal metod, and the reduced physical modeling method. The accuracy of calculated eigenvalues and the vibration controlling effect of each model are discussed. A thin plate having three lumped masses is used for the comparison. Regarding the eigenvalue calculation, the quasi-modal model is the most accurate of the four. However, all four methods result in the vibration control effect in our experimental tests.
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