inerter; force feedback; nonlinear energy sink; targeted energy transfer; resonance capture cascade
Abstract :
[en] In this paper, an active nonlinear energy sink (ANES) based on force feedback is investigated. The proposed device is composed of a pair of collocated actuator and force sensor. The control law is implemented by feeding back the output of the force sensor, through one single and one double integrator of its cube. Its working principle can be understood by an equivalent mechanical network which consists of a dashpot, an inerter and a cube root inerter. Although the nonlinear assignment between the spring and mass or inerter quantities is different from that of traditional nonlinear energy sinks (NESs), it is found that ANES and NES behave similarly in terms of their slow- scale dynamics and the vibration mitigation effectiveness. The damping mechanism of ANES through targeted energy transfer and resonance capture cascade is demonstrated. Closed-form expressions for properly tuning the feedback gains are derived. Numerical simulations are performed to validate the analytical analysis.
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