Non-smooth dynamics of buckling based metainterfaces: Rocking-like motion and bifurcations

被引:11
作者
Hima, N. [1 ,2 ]
D'Annibale, F. [3 ,4 ]
Dal Corso, F. [1 ]
机构
[1] Univ Trento, DICAM, Via Mesiano 77, I-38123 Trento, Italy
[2] FIP MEC Srl, Via Scapacchio 41, I-35030 Felvazzano Dentro, PD, Italy
[3] Univ Aquila, DICEAA, Laquila, Italy
[4] Univ Aquila, M&MOCS, Laquila, Italy
关键词
Nonlinear dynamics; Period doubling; Grazing; Multistability anticipation; RIGID-BLOCK; PIEZOELECTRIC CONTROL; IMPACT; INSTABILITY; RESOLUTION; SHEETS; SYSTEM;
D O I
10.1016/j.ijmecsci.2022.108005
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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.
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页数:20
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