Materials based on pantographic unit cells have very interesting mechanical peculiarities. For these reasons they are largely studied from a theoretical, experimental, and numerical point of view. Numerical simulations furnish an important contribution for the the design and optimization of such materials and, more generally, for metamaterials. Here, we consider the influence of inertial forces, removing the hypothesis of quasistatic loading. By using an intrinsically discrete model, inspired by Hencky’s ideas, already tested in a series of published works, here we add the contribution of inertial forces and, in the framework of stepwise schemes, we re-experience an adaptive integration scheme capable of reconstructing the best structural response corresponding to a prefixed time step. Several numerical simulations, although preparatory, inspire some remarks on materials based on pantographic cells and outline the way for future challenges.

中文翻译：

---

受冲击载荷作用的缩放梁的逐步分析

基于缩放单位单元的材料具有非常有趣的机械特性。由于这些原因，他们主要从理论、实验和数值的角度进行研究。数值模拟为此类材料的设计和优化，更一般地说，为超材料提供了重要贡献。在这里，我们考虑惯性力的影响，去除了准静态载荷的假设。通过使用受 Hencky 思想启发的内在离散模型，该模型已经在一系列已发表的作品中进行了测试，在这里我们添加了惯性力的贡献，并且在逐步方案的框架内，我们重新体验了一种能够重建对应于前缀时间步长的最佳结构响应。几个数值模拟，虽然是准备的，