The Collective Snapping of a Pair of Bumping Buckled Beams

التفاصيل البيبلوغرافية
العنوان: The Collective Snapping of a Pair of Bumping Buckled Beams
المؤلفون: Kwakernaak, Lennard J., Guerra, Arman, Holmes, Douglas P., van Hecke, Martin
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Soft Condensed Matter
الوصف: When a pair of parallel buckling beams of unequal width make lateral contact under increasing compression, eventually either the thin or the thick beam will snap, leading to collective motion of the beam pair. Using experiments and FEM simulations, we find that the distance $D$ between the beams selects which beam snaps first, and that the critical distance $D^*$ scales linear with the combined width of the two beams. To understand this behavior, we show that the collective motion of the beams is governed by a pitchfork bifurcation that occurs at strains just below snapping. Specifically, we use a model of two coupled Bellini trusses to find a closed form expression for the location of this pitchfork bifurcation that captures the linear scaling of $D^*$ with beam width. Our work uncovers a novel elastic instability that combines buckling, snapping and contact nonlinearities. This instability underlies the packing of parallel confined beams, and can be leveraged in advanced metamaterials.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.11811
رقم الأكسشن: edsarx.2401.11811
قاعدة البيانات: arXiv