Abstract
A mechanical system composed of two weakly coupled vibro-impact modules under harmonic excitation is considered. The mathematical model of the system is presented in a non-dimensional form. The analytical approach based on the combination of the multiple scales method and the saw-tooth function is employed. The periodic responses of the system with two impacts per cycle near 1:1 resonance are studied. The results have semi-analytical character. Stability of the periodic motions is evaluated. In the unstable case, occurrence of a different response regime is shown: the strongly modulated response. The analytical predictions are compared with purely numerical results.
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Fritzkowski, P., Starosta, R., Awrejcewicz, J. (2019). Analytical Approach to a Two-Module Vibro-Impact System. In: Belhaq, M. (eds) Topics in Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 228. Springer, Singapore. https://doi.org/10.1007/978-981-13-9463-8_10
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DOI: https://doi.org/10.1007/978-981-13-9463-8_10
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