Materials and structures based on pantographic cells exhibit interesting mechanical peculiarities. They have been studied prevalently in the static case, both in linear and nonlinear regime. When the dynamical behavior is considered, available literature is scarce probably for the intrinsic difficulties in the solution of this kind of problems. The aim of this work is to contribute to filling of this gap by addressing the dynamical response of pantographic beams. Starting from a simple spring mechanical model for pantographic beams, the nonlinear equilibrium problem is formulated directly for such a discrete system also considering inertia forces. Successively, the solution of the system of equilibrium equations is sought by means of a stepwise strategy based on a non-standard integration scheme. Here, only harmonic excitations are considered and, for large displacements, frequency-response curves are thoroughly discussed for some significant cases.

基于缩放单元的材料和结构表现出有趣的机械特性。在静态情况下，无论是线性还是非线性状态，都对它们进行了广泛的研究。考虑动力学行为时，解决此类问题的内在困难可能缺少可用的文献。这项工作的目的是通过解决受托梁的动力响应来为填补这一空白做出贡献。从用于受力梁的简单弹簧力学模型开始，对于考虑了惯性力的离散系统，直接建立了非线性平衡问题。接着，通过基于非标准积分方案的逐步策略，寻求平衡方程组的解。在这里，仅考虑谐波激励，并且