This contribution presents the results of a campaign of numerical simulations aimed at better understanding the propagation of longitudinal waves in pantographic beams within the large-deformation regime. Initially, we recall the key features of a Lagrangian discrete spring model, which was introduced in previous works and that was tested extensively as capable of accurately forecasting the mechanical response of structures based on the pantographic motif, both in statics and dynamics. Successively, a stepwise integration scheme used to solve equations of motions is briefly discussed. The key content of the present contribution concerns the thorough presentation of some selected numerical simulations, which focus in particular on the propagation of stretch profiles induced by impulsive loads. The study takes into account different tests, by varying the number of unit cells, i.e., the total length of the system, spring stiffnesses, the shape of the impulse, as well as its properties such as duration and peak amplitude, and boundary conditions. Some conjectures about the form of traveling waves are formulated, to be confirmed by both further numerical simulations and analytical investigations.

这项贡献提出了数值模拟运动的结果，旨在更好地了解纵波在大变形范围内在受射束中的传播。最初，我们回想起拉格朗日离散弹簧模型的主要特征，该模型在以前的工作中已经引入，并且经过了广泛测试，能够准确预测基于全景图主题的结构的力学响应（包括静态和动态）。接下来，简要讨论用于解决运动方程的逐步积分方案。本贡献的关键内容涉及对某些选定的数值模拟的透彻介绍，这些数值模拟尤其着重于由脉冲载荷引起的拉伸轮廓的传播。这项研究考虑了不同的测试，通过改变单位单元的数量，即系统的总长度，弹簧刚度，脉冲的形状以及其属性（例如持续时间和峰值幅度）以及边界条件，来改变。提出了一些关于行波形式的猜想，这些猜想将通过进一步的数值模拟和分析研究得到证实。