Targeted energy transfer in a vibro-impact cubic NES: Description of regimes and optimal design. (17th February 2023)

• Record Type: Journal Article
• Authors: Wu, Zhenhang; Paredes, Manuel; Seguy, Sébastien
• Is Part Of: Journal of sound and vibration. Volume 545(2023)
• Publication Date: 2023-02-17
• Subjects: Strongly modulated response -- Nonlinear energy sink -- Optimal design -- Multiple nonlinearities; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2022.117425
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: In this study, we address the response regimes of a novel Nonlinear Energy Sink (NES) that couples both cubic and impact nonlinearities. In a non-smooth condition, the conventional multiple scales method is considered with impact condition. By identifying the occurrence of the collision, the asymptotic analysis of the equivalent cubic NES model and Vibro-Impact (VI) NES model can illustrate the fixed point of the Vibro-Impact Cubic (VIC) NES. Three types of VIC NES are described as a function of clearance length. The role of clearance length on the response regimes is provided, offering solid criteria for optimal design. Combined with the simulation results, our experimental observations prove the restraint effect of impact on the robustness of the Strongly Modulated Response (SMR). Graphical abstract: Highlights: Position of the extra-singularity line in the slow invariant manifold mainly determines the response regimes of vibro-impact cubic NES. Without collision, the system performs the same as the cubic case. A simplified vibro-impact model performs well in calculating the fixed point of the nonlinear coupling system in the existence of collision. Displacement constraint restraints the strongly modulated response in the frequency domain and leads the system to achieve an optimal periodic state in a lower amplitude excitation case.