Abstract
This paper describes a new method which can be applied for vibration control of an arbitrary multiple-pendulum system by means of the supporting point lateral movement. Considering that the real pendulum system is supported by a similar-multiple pendulum system, i.e. the imaginary system, the no-wave-reflection condition at the supporting point is obtained as the form of the supporting-point lateral acceleration, which includes the deflection and acceleration of the lower-end pendulum of the imaginary system and those of the upper-end pendulum of the real system. On-line computation of the imaginary system using the state variables of the upper-end pendulum of the real system gives the supporting-point lateral acceleration. The imaginary system can be initialized at any time to avoid energy flow from the imaginary system to the real system. Numerical simulations are presented to show the validity of this method.
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