Accelerated snapping of slender beams under lateral forcing
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913839078965248 |
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| author | Meulblok, Colin M. Bense, Hadrien Caelen, M. van Hecke, Martin |
| author_facet | Meulblok, Colin M. Bense, Hadrien Caelen, M. van Hecke, Martin |
| contents | The hysteretic snapping under lateral forcing of a compressed, buckled beam is fundamental for many devices and mechanical metamaterials. For a single-tip lateral pusher, an important limitation is that snapping requires the pusher to cross the centerline of the beam. Here, we show that dual-tip pushers allow accelerated snapping, where the beam snaps before the pusher reaches the centerline. As a consequence, we show that when a buckled beam under increased compression comes in contact with a dual-tip pusher, it can snap to the opposite direction -- this is impossible with a single-tip pusher. Additionally, we reveal a novel two-step snapping regime, in which the beam sequentially loses contact with the two tips of the dual-tip pusher. To characterize this class of snapping instabilities, we employ a systematic modal expansion of the beam shape. This expansion allows us to capture and analyze the transition from one-step to two-step snapping geometrically. Finally we demonstrate how to maximize the distance between the pusher and the beam's centerline at the moment of snapping. Together, our work opens up a new avenue for quantitatively and qualitatively controlling and modifying the snapping of buckled beams, with potential applications in mechanical sensors, actuators, and metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10091 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accelerated snapping of slender beams under lateral forcing Meulblok, Colin M. Bense, Hadrien Caelen, M. van Hecke, Martin Soft Condensed Matter The hysteretic snapping under lateral forcing of a compressed, buckled beam is fundamental for many devices and mechanical metamaterials. For a single-tip lateral pusher, an important limitation is that snapping requires the pusher to cross the centerline of the beam. Here, we show that dual-tip pushers allow accelerated snapping, where the beam snaps before the pusher reaches the centerline. As a consequence, we show that when a buckled beam under increased compression comes in contact with a dual-tip pusher, it can snap to the opposite direction -- this is impossible with a single-tip pusher. Additionally, we reveal a novel two-step snapping regime, in which the beam sequentially loses contact with the two tips of the dual-tip pusher. To characterize this class of snapping instabilities, we employ a systematic modal expansion of the beam shape. This expansion allows us to capture and analyze the transition from one-step to two-step snapping geometrically. Finally we demonstrate how to maximize the distance between the pusher and the beam's centerline at the moment of snapping. Together, our work opens up a new avenue for quantitatively and qualitatively controlling and modifying the snapping of buckled beams, with potential applications in mechanical sensors, actuators, and metamaterials. |
| title | Accelerated snapping of slender beams under lateral forcing |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2505.10091 |