| Summary: | 碩士 === 國立臺灣大學 === 機械工程學系 === 85 === The complicated dynamic behavior of a simple pulley-cam-
lever assembly is investigated. First, the governing equations
of the system are derived based on fundamental conservation
laws, the equations are then solved numerically for various
combinations of parameters by using a 4th-order Runge-Kutta
scheme.Two situations are considered in this study: (1) system
with no external force,(2) system subject to a periodic driving
force. In the first case, equilibrium points are determined and
the stability nature of the point is examined. In thesecond
case, bifurcations of solutions as certain important
parameterchange areinvestigated thoroughly. Various types of
bifurcation are identifiedin this system, such as tangent
bifurcation, period-doubling bifurcation,homoclinic bifurcation
and crisis, etc. Finally, the global picture ofbifurcation sets
in the parameter plane defined by the amplitude A andfrequency w
of the driving force is obtained. Transition of the system froma
regular motion to chaotic motion is demonstrated and explaine.
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