Analytical Approach to a Two-Module Vibro-Impact System
[ 1 ] Instytut Mechaniki Stosowanej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ P ] employee
2019
chapter in monograph / paper
english
- vibro-impact systems
- nonlinear energy sink
- multiple scales method
- saw-tooth function
EN 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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