Nature’s morphology and optimal energetic solutions remain the key motivation for designing cellular-based lattice structures. Understanding the nonlinear dynamical behaviors that arise from different lattice topologies of such structures in the metastructure framework is crucial for their successful implementation in various novel designs and technologies related to vibration and shape control. This paper presents a study of the static and dynamic response of auxetic and honeycomb lattices with hourglass or dome-shaped metastructures. The potential tailoring of nonlinearity of such responses through various design parameters that play a vital role in shaping the dynamic properties of such structures is discussed here. The impact of cell design parameters on the resulting macroscopic behavior is assessed using both numerical simulations and experimental studies. The transition from softening to hardening nonlinear dynamic responses is reported with cell topologies ranging from the regular honeycomb to auxetic topologies that are widely used as fundamental cells of cellular materials design. The experimental study is based on the time responses measured to verify the numerical predictions. The experimental system consists of different 3D printed hourglass samples based on the auxetic and honeycomb lattices on which dynamic testing using a laser Doppler vibrometer is performed. The design strategies proposed in this paper can be integrated into a wide range of lattice-based materials for noise and vibration control applications and biomedical devices.

中文翻译：

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蜂窝和拉胀沙漏晶格超结构静态和动态响应中非线性剪裁的证据

大自然的形态和最佳能量解决方案仍然是设计基于细胞的晶格结构的关键动机。了解元结构框架中此类结构的不同晶格拓扑产生的非线性动力学行为对于它们在与振动和形状控制相关的各种新颖设计和技术中的成功实现至关重要。本文研究了具有沙漏或圆顶形超结构的拉胀和蜂窝晶格的静态和动态响应。本文讨论了通过各种设计参数对此类响应的非线性进行潜在的定制，这些参数在塑造此类结构的动态特性方面发挥着至关重要的作用。使用数值模拟和实验研究评估电池设计参数对宏观行为的影响。报道了从软化到硬化非线性动态响应的转变，其细胞拓扑范围从规则蜂窝状到广泛用作多孔材料设计的基本细胞的拉胀拓扑。实验研究基于测量的时间响应来验证数值预测。该实验系统由基于拉胀和蜂窝晶格的不同 3D 打印沙漏样品组成，使用激光多普勒振动计对其进行动态测试。本文提出的设计策略可以集成到各种用于噪声和振动控制应用以及生物医学设备的晶格材料中。