An analytical, numerical and experimental investigation of the dynamic behavior of a passive balancing system is presented. Due to the system constraints and dynamic characteristics, this system is capable of combined static and dynamic mass balancing. This work is an extension of previous studies in which ball-balancing systems were used to reduce harmful vibration caused by radial perturbation in the principal axis of inertia. In the present research, the imbalance compensation problem is divided into axial and radial components. A spherical suspension was applied at the rotational axis that allows the rotating disk to tilt, thus eliminating coupled dynamic centrifugal forces caused by the axial mass imbalance. In a fashion similar to earlier ball balancing systems, in this study the balancing balls were replaced by two single pendulums suspended in the geometrical axis of a disk in order to compensate for radial unbalance. The governing equations are developed, which results in a set of cross-coupled nonlinear differential equations, which are analyzed in detail. An experimental study is also conducted to validate and test the conclusions of the analysis and simulation work.

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