Modeling and analysis of nonlinear dynamic buckling-type vibrations in an auxetic rotating polygonal metamaterial
Abstract
Auxetic rotating polygons are instrumental for programmable design of metamaterials with tunable proprieties. Their particular configuration leads to a sudden but controlled transformation between different states. However, opposed to the conventional perspective of the static stability in the pre-buckling state, a dynamic buckling-type phenomenon is observed in experiments based on a finite rotating-polygonal network. Under harmonic excitations much lower than the static buckling limit, global longitudinal motions and local rotations contribute to the buckling-type deformation of the system. In this paper, we report this phenomenon and we develop an analytical discrete nonlinear model to understand this phenomenon. The discrete model parameters are rigorously identified and validated against finite element simulations, achieving good agreement in both static force-displacement responses and linearized modal analyses. Based on the analytical discrete model, the phenomenon is reproduced in dynamic simulations with nonlinear jump resonances on both ends of the rotation-excited branch where the global longitudinal mode is coupled with the local rotational mode. Our work not only unveils a previously overlooked dynamic instability mechanism in buckling-based materials, but also provides an analytical framework for predicting and designing auxetic rotating polygonal metamaterials, with implications for future applications in vibration control and soft robotics.
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BibTeX
@article{yao2026modeling,
title = {{Modeling and analysis of nonlinear dynamic buckling-type vibrations in an auxetic rotating polygonal metamaterial}},
author = {Yi Yao and Alireza Ture Savadkoohi and Baptiste Chomette and Manuel Collet and Claude-Henri Lamarque and Emanuele De Bono},
journal = {Mechanical Systems and Signal Processing},
year = {2026},
month = jul,
doi = {10.1016/j.ymssp.2026.114501},
url = {https://hal.science/hal-05777831v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Modeling and analysis of nonlinear dynamic buckling-type vibrations in an auxetic rotating polygonal metamaterial
AU - Yi Yao
AU - Alireza Ture Savadkoohi
AU - Baptiste Chomette
AU - Manuel Collet
AU - Claude-Henri Lamarque
AU - Emanuele De Bono
PY - 2026
DA - 2026/07/15
JO - Mechanical Systems and Signal Processing
DO - 10.1016/j.ymssp.2026.114501
UR - https://hal.science/hal-05777831v1
AB - Auxetic rotating polygons are instrumental for programmable design of metamaterials with tunable proprieties. Their particular configuration leads to a sudden but controlled transformation between different states. However, opposed to the conventional perspective of the static stability in the pre-buckling state, a dynamic buckling-type phenomenon is observed in experiments based on a finite rotating-polygonal network. Under harmonic excitations much lower than the static buckling limit, global longitudinal motions and local rotations contribute to the buckling-type deformation of the system. In this paper, we report this phenomenon and we develop an analytical discrete nonlinear model to understand this phenomenon. The discrete model parameters are rigorously identified and validated against finite element simulations, achieving good agreement in both static force-displacement responses and linearized modal analyses. Based on the analytical discrete model, the phenomenon is reproduced in dynamic simulations with nonlinear jump resonances on both ends of the rotation-excited branch where the global longitudinal mode is coupled with the local rotational mode. Our work not only unveils a previously overlooked dynamic instability mechanism in buckling-based materials, but also provides an analytical framework for predicting and designing auxetic rotating polygonal metamaterials, with implications for future applications in vibration control and soft robotics.
SN - 0888-3270
SN - 1096-1216
ER -