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The successful design of vibration absorber for absorbing
the torsional vibration in the rotating machinery depends
chiefly on the performance of the absorber. The centrifugal
pendulum vibration absorber is a passiveabsorber. This absorber
does not have the best efficiency if the disturbancefrequency
varies with time. In this thesis, the pendulum with
feedbackcontrol is used as a dynamic vibration absorber for the
rotating machinery.We will derive the equations of the motion
for rotating machinery and theactive pendulum absorber. The
dynamics can be analyzed by utilizingthose equations. The
nonlinear dynamic response of the rotating machinery and
theactive pendulum absorber is analyzed using the method of
harmonic balance.Periodic solutions are approximated by the
first harmonic of the response and calculated by simulations.
The anti-resonance frequency, that theoperating frequency for
that which the absorber is tuned, can be found fromthe
linearized system. From the analysis, we can obtain the
effectfeedback control upon the system and the performance of
the active absorber.In this thesis, the nonlinear dynamic
analysis and the performance of the active pendulum absorber can
help the design of the control algorithm.Experiments are carried
out for verifying the analysis.
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