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An automatic balancer with a larger stable region of the perfect balancing configuration will be more robust.
This paper provides a detailed analysis of a new design of auto-balancer, the ball rod spring balancer, which is aimed to increase the stable region of the perfect balancing configuration.
This particular equilibrium configuration is referred to as the perfect balancing configuration.
Moreover, the new type of ABB increases the stable range of the perfect balancing configuration.
Also, it increases the stable region of the perfect balancing configuration.
Moreover, it has a limited stable region of the perfect balancing configuration.
The stability of the perfect balancing configuration depends on the parameters of the system.
The unbalance vibrations at steady state can be totally suppressed only if the perfect balancing configuration is stable.
To achieve perfect balancing, the system parameters must lie in the stable region of the perfect balancing configuration in the parameter space.
Increasing the balanced stable range causes the new design of ABB to tolerate a wider range of the system parameters in which the perfect balancing configuration is achieved.
Results of numerical analysis confirm that the stable region of the perfect balancing configuration of the new design is larger than that of the traditional fixed orbit balancer.
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