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• W4200352445 abstract "A new vibro-impact bistable nonlinear energy sink (VI-BNES) with relatively light weight attached to a damped linear oscillator (LO) is proposed to form a two-degree-of-freedom nonlinear mechanical system with bilateral rigid constraints. The state of the system after instantaneous impact is described by the simplified shock theory and the momentum conservation. When the LO subjected to impulse excitations with different levels is considered as the driver of the VI-BNES, a two-dimensional non-smooth reduced impact system with a harmonic perturbation and an irrational nonlinear restoring force is obtained to study the threshold for the homoclinic bifurcations and chaotic responses of the VI-BNES. Bistability of this mechanical model makes the reduced unperturbed system have a pair of symmetric homoclinic orbits as the pseudo-separatrix for in-well and cross-well oscillations. The Melnikov method developed by us for non-smooth planar systems with bilateral rigid constraints is firstly employed to detect the threshold of the amplitude of excitations of the LO for the onset of chaotic oscillations. Furthermore, cubic polynomial approximation of the restoring force on the premise of maintaining the equilibria of the system is carried out such that the analytical Melnikov analysis for the global dynamics becomes possible. The performance of the VI-BNES is also studied and compared with other NESs in detail through numerical analysis and experiments to show the high efficiency of vibration reduction of the VI-BNES due to the dual beneficial role of the bistability and the impacts with the bilateral rigid constraints. • The structure of a vibro-impact bistable nonlinear energy sink, abbreviated as VI-BNES, is novel to combine both the characters of bistability and vibro-impacts. • The Melnikov method for non-smooth systems developed by us is firstly introduced to analyze the global dynamics and detect the chaotic threshold and homoclinic bifurcations of the non-smooth two-degree-of-freedom coupled systems. • Numerical method for vibro-impacts coupled systems is improved to show the good performance in reducing vibration of the VI-BNES, and experiments are designed to verify the high efficiency of vibration reduction for the VI-BNES." @default.
• W4200352445 created "2021-12-31" @default.
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• W4200352445 date "2022-03-01" @default.
• W4200352445 modified "2023-10-17" @default.
• W4200352445 title "Global dynamics and performance of vibration reduction for a new vibro-impact bistable nonlinear energy sink" @default.
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• W4200352445 doi "https://doi.org/10.1016/j.ijnonlinmec.2021.103891" @default.
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