An inverted pendulum with multibranching view as self-controlled system: Modelling and vibration absorber capacity

Abstract

The design and performance evaluation of a self-controlled system are investigated. An autonomous set of pendulums with different branches is considered. A mathematical model is derived, and the damping mechanism due to the transfer of energy between the central column and its attached branches is pointed out. The case of earthquake loads has been tested. Dynamics study shows that the energy received by the central column is distributed to the different branches, leading to a self-vibration control of the system. It is also found that one can increase the damping ratio according to the physical characteristics of the structure. This is a good candidate for earthquake protection of mechanical structures.