Abstract
Mainly nonlinear additional light attachments, named Nonlinear Energy Sink (NES), are widely studied for vibration mitigation of structures [1, 2]. Theoretical, numerical studies and finally preparation of design tools for a NES with cubic nonlinearity dedicated to mitigation of horizontal vibrations of a bridge cable have been studied already by the authors, and its efficiency demonstrated experimentally [3]. Nevertheless this cubic nonlinear absorber was unable to control vertical vibration of the cable because of gravity effects. The present study aims at controlling the vertical vibration of the same bridge cable under gravity effects using a different type of nonlinearity for the NES.
The theoretical study focuses on a non-smooth absorber with a free length. The 1st vertical mode of the cable, to be controlled, is coupled to the absorber, resulting in a 2 dof reduced system. Equations are analytically studied through modified complexification of variables and multiple scales expansion [4, 5]. The analytical results are confirmed by performing numerical integration of the 2 dof system.
Finally a prototype non-smooth NES is designed, built and set on the cable. Step released vertical excitations are performed on the cable with and without coupled NES. The efficiency of the non-smooth vertical NES prototype is demonstrated experimentally and quantified from measurements. Further calculations and experiments for periodic excitation are also discussed.
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Acknowledgments
The authors would like to acknowledge the French Ministry of the Environment, Energy and the Sea for funding this work through a PhD grant.
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Weiss, M., Vaurigaud, B., Ture Savadkoohi, A., Lamarque, CH. (2018). Vertical Vibration Mitigation of a Bridge Cable Using a Non Smooth Absorber Under Gravity. In: Conte, J., Astroza, R., Benzoni, G., Feltrin, G., Loh, K., Moaveni, B. (eds) Experimental Vibration Analysis for Civil Structures. EVACES 2017. Lecture Notes in Civil Engineering , vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-67443-8_43
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DOI: https://doi.org/10.1007/978-3-319-67443-8_43
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