| Summary: | 碩士 === 中原大學 === 機械工程研究所 === 82 === In this thesis, VSC is applied in the transverse vibration
control of the gyroscopic system. In VSC, a set of continuous
subsystems are directed by an adequate switching logic to
change the structure, and put the state trajectories sliding to
desired point along the switching plane. The most disting-
uished feature of VSC is its robustness. It is insensitive to
parametric uncertainty and external disturbance. This method is
attractive in the control of nonlinear system. In this thesis,
controllers designed by VSC are used to suppress the transverse
vibration of the gyroscopic system according to IMSC.
Gyroscopic system, such as: (1.) rotating disk, applied in
steam and gas turbines, grinding wheels, circular saws, and
computer disk memories. (2.) axially moving string, applied in
textile, computer and tape recorder industries. Transverse
vibration reduces the performance in these application. So the
transverse vibration control is a important task. In this
thesis, Hamilton's principle is applied to derive the governing
equations of the transverse vibrations spinning disk system
with non-constant angular velocity and the nonlinear transverse
vibrations axially moving string. Then, Galerkin method is
employed to discretize these governing equations into ordinary
differential equations. Finally, VSC is used to design the
modal control force for each controlled mode. The controlled
mode vibration of gyroscopic system with perturbation, external
disturbances, and nonlinear term is supressed.
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