Researchers: [Somya Ranjan Patro], [Seokgyu Yang ], [‣ ]

Collaborators: Prof. Christopher Chong [https://tildesites.bowdoin.edu/~cchong/index.html] and Prof. Panayotis Kevrekidis [https://websites.umass.edu/kevrekid/]

Themes: Energy transfer in advanced structures

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Negative extensibility refers to the category of mechanical metamaterials that exhibit an unusual phenomenon where the system contracts upon tension. The dynamic analysis of such systems is crucial for exploring their vibration-isolation characteristics, which form the prime focus of the present study. Inspired by Braess’s paradox, the mechanical model incorporates coupled, tunable nonlinear spring stiffness properties (strain hardening and softening) that alternate when a threshold displacement is exceeded. This stiffness-switching mechanism enables wide-frequency passive vibration isolation via counter-snapping instability. The vibration isolation characteristics resulting from the stiffness-switching mechanism are investigated using time- and frequency-domain plots. Furthermore, the relationship between the stiffness-switching mechanism and various system parameters is visualized in a three-dimensional parametric space. The efficacy of the proposed system is evaluated by comparing it with the existing bistable systems, revealing superior performance in isolating high-amplitude vibrations. The proposed mechanism enhances understanding of dynamic behavior in critical structural elements of multi-stable mechanical metamaterials, providing insights and opportunities for innovative adaptive designs.

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