Abstract
The nonlinear dynamic of an inclined oscillator impacted on a harmonically external excitation is discussed. Different domains and boundaries of the system are defined, and the conditions of stick and grazing motions are studied. The specified periodic motions of such discontinuous systems are predicted. The sticking and grazing motion conditions are developed by flow switchability theory. The complex period motion and one-period motion are presented. The numerical solution of different periods of motions are also presented and the bifurcations of two kinds of conditions are observed. The obtained results are complicated than the previous studies. And there are still more periodic motions and the analytical bifurcation need to be investigated in the future.
This work is supported by National Natural Science Foundation of China (51375485), National Natural Science Foundation of China and (51805488).
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Wu, M., Hu, M. (2019). Nonlinear Dynamic Analysis of Inclined Impact Oscillator with a Harmonically External Excitation. In: Yu, H., Liu, J., Liu, L., Ju, Z., Liu, Y., Zhou, D. (eds) Intelligent Robotics and Applications. ICIRA 2019. Lecture Notes in Computer Science(), vol 11742. Springer, Cham. https://doi.org/10.1007/978-3-030-27535-8_65
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DOI: https://doi.org/10.1007/978-3-030-27535-8_65
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