This paper deals with the statistical effects of an outrigger system on a cantilever beam under seismic excitation. The nonstationary random approach is employed to simulate seismic events.The Timoshenko beam approach is used to model the frame-core tube linked at a point of its length by the damped outriggers, therefore are connected vertically two magnetorheological damper devices. The peak root-mean-square values of displacement responses is employed as a best measure effective to specify the optimal locations of outriggers according to different vibration modes. To evaluate the performance of the control system, the control algorithm based on Lyapunov stability theory is adopted to seek the input voltage leading to the reduction of vibration.
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.
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