Transformation shift of periodic cellular structure by controlling internal stiffness

Abstract eng:
In some instability phenomena as typified by Euler buckling, the pre-bifurcation deformation is infinitesimal. Engineers are used to make a design to prevent the structure from falling down because of such unstable deformation. In this study, we propose a novel bifurcation system for two-dimensional cellular structure, which shows that the pre-bifurcation deformation is not small. We previously developed the structural unit, the geometry of which exhibits eight-fold rotational symmetry. Controlling the point of loading, the system can switch between two types of auxetic transformation; the structure transforms into diamond cells or square cells. We here newly model a modified structure by inserting linear springs between periodic unit cells and demonstrate the large deformation analyses under uniform compression, which show the switching mechanism for the two different motions after the structure undergoes some extent of cell deflection. We also discuss about the analogy mechanism of a linkage structure.

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