This paper considers the load–deflection behavior of a pyramid-like, shallow lattice structure. It consists of four beams that join at a central apex and when subject to a lateral load, it exhibits a propensity to snap-through: a classical buckling phenomenon. Whether this structural inversion occurs, and the routes by which it happens, depends sensitively on geometry. Given the often sudden nature of the instability, the behavior is also examined within a dynamics context. The outcome of numerical simulations are favorably compared with experimental data extracted from the testing of three-dimensional (3D)-printed specimens. The key contributions of this paper are that despite the continuous nature of the physical system, its behavior (transient and equilibria) can be adequately described using a discrete model, and the paper also illustrates the utility of 3D-printing in an accessible research context.

中文翻译：

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金字塔格子框架：倒置的途径

本文考虑了金字塔状浅晶格结构的载荷-挠度行为。它由在中心顶点连接的四根梁组成，当受到横向载荷时，它会表现出折断的倾向：一种经典的屈曲现象。这种结构倒置是否发生，以及发生的路径，敏感地取决于几何学。考虑到不稳定性经常是突然的，这种行为也在动力学背景下进行了检查。数值模拟的结果与从三维 (3D) 打印样本的测试中提取的实验数据进行了有利的比较。本文的主要贡献是，尽管物理系统具有连续性，但可以使用离散模型充分描述其行为（瞬态和平衡），