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Prediction of higher-order harmonics generation due to contact stiffness hysteresis using Harmonic Balance: theory and experimental validation

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Abstract

In the presented paper, an analytical approach based on the Harmonic Balance method is used to evaluate amplitudes of higher-order harmonics generated due to the interaction of a propagating shear wave with surfaces in frictional contact. The motion between surfaces is initially assumed to be of symmetric hysteretic stick-and-slip type. Experimental investigation is performed on steel samples with prepared contact surfaces, in order to validate the introduced solution approach. It shows that the hysteretic behavior obtained from the experiment exhibits asymmetric characteristic features. Consequently, a new asymmetric description of the hysteretic stress–strain relation is developed and used to confirm these findings. As a result, both qualitative and quantitative agreement between considered investigation methods are achieved. Finally, the identification study shows the impact of higher-order harmonics on particular features of the stiffness hysteresis.

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Acknowledgements

The work presented in this paper was performed within the scope of the research Project 2015/17/B/ST8/03399 financed by the Polish National Science Center.

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Authors and Affiliations

  1. Department of Robotics and Mechatronics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Kraków, Poland

    Rafal Radecki, Pawel Packo & Andrzej Klepka

  2. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Michael J. Leamy

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  1. Rafal Radecki
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Correspondence to Rafal Radecki.

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Radecki, R., Leamy, M.J., Packo, P. et al. Prediction of higher-order harmonics generation due to contact stiffness hysteresis using Harmonic Balance: theory and experimental validation. Nonlinear Dyn 103, 541–556 (2021). https://doi.org/10.1007/s11071-020-06127-y

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