Abstract
This work deals with the design and experiment of a cubic nonlinear energy sink (NES) for horizontal vibration mitigation of a bridge cable. Modal analysis of horizontal linear modes of the cable is experimentally performed using accelerometers and displacement sensors. A theoretical simplified 2-dof model of the coupled cable-NES system is used to analytically design the NES by mean of multi-time scale systems behaviours and detection its invariant manifold, equilibrium and singular points which stand for periodic and strongly modulated regimes, respectively. Numerical integration is used to confirm the efficiency of the designed NES for the system under step release excitation. Then, the prototype system is built using geometrical cubic nonlinearity as the potential of the NES. Efficiency of the prototype system for mitigation of horizontal vibrations of the cable under for step release and forced excitations is experimentally demonstrated.
Highlights
It has been proved that by endowing nonlinear innate of some special light attachments, namely Nonlinear Energy Sink (NES), it is possible to localize the vibratory energy of important oscillators which are mainly linear [1]
This study aims at performing vibration mitigation of the first horizontal linear mode of a bridge cable using an essentially cubic NES prototype
The first part focuses on the experimental modal analysis of the cable, a theoretical design analysis [2] using complexification of variables and time-multiple scales analysis is performed on a simplified 2-dof model of the first mode of the cable-NES system
Summary
It has been proved that by endowing nonlinear innate of some special light attachments, namely Nonlinear Energy Sink (NES), it is possible to localize the vibratory energy of important oscillators which are mainly linear [1]. This localization, which is called energy pumping or targeted energy transfer, can be operated for control and/or energy harvesting. The design is numerically tested for a step release excitation and the prototype system is built and experimentally tested on a cable mounted in a tensioning bench. Experiments under periodic excitation are performed on the same prototype
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