| Summary: | 碩士 === 國立中央大學 === 機械工程學系 === 84 === The dynamics of a rotating Rayleigh beam representing the
workpiecein the lathing process, subject to a travelling force
at a constant speedalong the axial direction, is studied. A new
technique is developed formodeling the reciprocative cutting
force on the workpiece. The amplitude of the cutting force is
chosen to be either a constant or dependent on themotion of the
beam. The reciprocative force are further assumed to travelonly
in a single direction or in two different directions. The
discretizedequations of motion of the rotating beam are obtained
by Galerkin''s method.Then, the response of the rotating beam
subject to diferent types of the external travelling forces is
obtained exactly or by numerical integration.Furthermore, the
stability of the response is determined by the method ofmultiple
scales. The effects of varying the rotating frequency, and the
moving speed of the force, on the dynamic behaviors of the beam,
are also investigated.
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