ABSTRACT
Centrifugal Pendulum Vibration Absorber (CPVA) has been effectively used in
rotating and reciprocating machines to control torsional vibrations passively. This
research presents results from analytical investigation of rotor systems integrated
with CPVA. The system under investigation is modeled as a rotating disk attached
with CPVA in which the disk is subjected to an external simple harmonic torque.
Mathematical model of a rotor fitted with a CPVA has been formulated and the
equations of motion are derived using Lagrange principle. The effect of gravity due to
CPVA operating in a vertical plane with a horizontal shaft has been considered in the
formulation. The results are also compared with those based on CPVA operating in a
horizontal plane in which the effect of gravity has been neglected. Moreover,
softening nonlinear behavior of the pendulum and its effect on the natural frequency
of the system has been investigated.