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靳明珠, 侯秀慧, 赵文皓, 邓子辰. 多层级曲梁多稳态超材料的可重用性研究[J]. 力学学报.
引用本文: 靳明珠, 侯秀慧, 赵文皓, 邓子辰. 多层级曲梁多稳态超材料的可重用性研究[J]. 力学学报.
Research on reusable properties of multi-stable metamaterial of hierarchical curved beams[J]. Chinese Journal of Theoretical and Applied Mechanics.
Citation: Research on reusable properties of multi-stable metamaterial of hierarchical curved beams[J]. Chinese Journal of Theoretical and Applied Mechanics.

多层级曲梁多稳态超材料的可重用性研究

Research on reusable properties of multi-stable metamaterial of hierarchical curved beams

  • 摘要: 以两端固支直梁一阶屈曲模态为初始构型构造曲梁单胞,并通过3D打印技术制备双材料双稳态单元,进而建立多层级曲梁结构。根据有限元结果,给出预测多层级曲梁力和势能随正则化位移变化的五次、六次多项式经验公式,相比于以往三次、四次多项式结果更为准确。以双曲梁单胞为基本单元,通过中心旋转的方式设计三维点状多稳态超材料,研究其稳态性能和力学特性。并通过参数化分析研究单元几何参数和模块化拓扑构型对结构力学响应的影响,最后通过循环加载试验证明了该类多稳态超材料的可重用性。该结构能够在小变形和大变形范围内实现正负刚度的转变,同时变形是弹性稳定的,即杨氏模量基本保持不变,且具有多稳态、可编程和可重复吸能特性。随着双曲梁几何参数Q(高厚比)的增大,其有效压溃距离和能量吸收效率随之增加。本文提出的设计策略为制造多稳态多步可逆变形的力学超材料开辟了新路径,并为设计材料-结构-功能一体化的工程材料提供了一种新思路。

     

    Abstract: A curved beam unit cell was constructed using the first-order buckling mode of a straight beam fixed at both ends as the initial configuration, and a bi-material bistable unit was prepared through 3D printing technology. Then a hierarchical curved beam structure was established, and based on the finite element results, fifth-order and sixth-order polynomial empirical formulas for predicting the change of hierarchical curved beam force and potential energy with normalized displacement were given. Compared with the previous third-order and fourth-order polynomial results, the results were more accurate. Using the double-curved beam unit cell as the basic unit, a three-dimensional DOT multi-stable metamaterial is designed through center rotation, and its steady-state performance and mechanical characteristics are studied. The influence of unit geometric parameters and modular topology configuration on the structural mechanical response was studied through parametric analysis. Finally, the reusability of this type of multi-stable metamaterial was proved through cyclic loading tests. This structure can realize the transformation of positive and negative stiffness in the range of small deformation and large deformation. At the same time, the deformation is elastically stable, that is, the Young's modulus is basically stable, and it has multi-stable, programmable and repeatable energy absorption characteristics. As the geometric parameter Q of the double-curved beam increases, its effective crushing distance and energy absorption efficiency increase. The design strategy proposed in this article opens up a new path for the manufacture of multi-stable multi-step reversible deformation mechanical metamaterials, and provides a new idea for the design of engineering materials with integrated material-structure-function.

     

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