论文标题
基于屈曲的Metainterfaces的非平滑动力学：类似摇摆的运动和分叉
Non-smooth dynamics of buckling based metainterfaces: rocking-like motion and bifurcations
论文作者
论文摘要
研究了由两个屈曲元素组成的弹性平面仪表表的非平滑动力学，每个元素仅允许在一侧运动。通过屈曲和单方面接触之间的类比，并假设在影响时没有出现爆炸，相关两个自由度系统的运动降低到由分段平滑的微分方程支配的单个程度的运动。仪表脸动力学与刚性块的摇动运动具有很强的相似性，并在存在振荡力的情况下显示了几种类型的动态分叉，包括周期倍增，分支循环，放牧以及准周期和混乱和混乱。此外，发现多稳定响应已扩大到代表准静态环境中单个状态的条件，从而揭示了动态的多稳定性预期。基于屈曲的仪表面的动态响应的广泛景观为振动衰减和能量收集的机械设备设计提供了一种新型的理论框架。
The non-smooth dynamics is investigated for an elastic planar metainterface composed by two layers of buckling elements, each one allowing motion on one side only. Through the analogy between buckling and unilateral contact and by assuming no-bouncing at impact, the motion of the relevant two degrees of freedom system is reduced to that of a single degree governed by a piecewise-smooth differential equation. The metainterface dynamics has strong similarities with the rocking motion of rigid blocks and displays several types of dynamic bifurcations in the presence of oscillatory forces, including period doubling, branch point cycle, grazing, as well as quasi-periodic and chaotic responses. Moreover, the multistable response is found to be broaden to conditions representative of monostable states within a quasi-static setting, disclosing a multistability anticipation by dynamics. The wide landscape of the dynamic response for the buckling based metainterface provides a novel theoretical framework to be exploited in the design of mechanical devices for vibration attenuation and for energy harvesting.
