| Summary: | 碩士 === 中原大學 === 機械工程學系 === 88 === In this paper, the rotating flexible-Timoshenko-shaft/flexible-disk coupling system is formulated by introducing the kinetic and strain energies, and the virtual work done by the eddy-current damper into Hamilton''s principle. Applying the assumed-mode method, the resulting discretized equations of motion can be simplified into a bilinear system (BLS). The attachment of disk to shaft becomes flexible for Timoshenko-beam theory and rigid for Euler-beam theory. Introducing the control laws, such as the quadratic, nonlinear and optimal feedback control, into the BLS, it is found that the eddy-current damper can be used to suppress flexible and shear vibrations simultaneously, and global asymptotically stable can be satisfied. From the dynamic formulations and energy analysis, some important discussions are made. Numerical results are provided to validate the theoretical analysis.
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