论文标题

Kresling折纸部署的动态

Dynamics of Kresling Origami Deployment

论文作者

Kidambi, N., Wang, K. W.

论文摘要

折纸风格的结构具有丰富的设计空间,为开发可部署的系统提供了新的机会,这些系统经历了大型而复杂但可预测的形状转换。对这种结构系统的兴趣越来越大,可以单轴延伸到管子和繁荣。 kresling折纸图案源于薄缸的扭曲屈曲并可以表现出多稳定性,为此目的提供了巨大的潜力。但是,关于Kresling折纸部署的特征还有很多待理解。先前的研究仅限于Kresling结构的运动学,准静态力学或低振幅波反应,而在部署过程中其形状较大的动态行为仍未得到探索。这些动力学对于系统设计和控制过程至关重要,但是由于强大的非线性,双重性和外轴运动的潜力,因此很复杂。为了推进艺术的状态,这项研究试图揭示具有各种系统几何和操作策略的Kresling结构的部署动态。开发并采用了一个完整的六度自由模型,以洞悉轴向和轴上动态响应,揭示了关键几何参数的变化可能导致具有定性不同机械响应的区域。结果说明了动态部署对初始条件变化和几何设计变化的敏感性。此外,分析表明,某些几何形状和配置如何影响各种轴向和离轴变形模式的刚度,从而为有效部署的系统设计提供了指导,同时减轻了轴置干扰的影响。总体而言,研究结果表明,基于Kresling的设计具有强大可调性能的可部署系统的强大潜力。

Origami-inspired structures have a rich design space, offering new opportunities for the development of deployable systems that undergo large and complex yet predictable shape transformations. There has been growing interest in such structural systems that can extend uniaxially into tubes and booms. The Kresling origami pattern, which arises from the twist buckling of a thin cylinder and can exhibit multistability, offers great potential for this purpose. However, much remains to be understood regarding the characteristics of Kresling origami deployment. Prior studies have been limited to Kresling structures' kinematics, quasi-static mechanics, or low-amplitude wave responses, while their dynamic behaviors with large shape change during deployment remain unexplored. These dynamics are critical to the system design and control processes, but are complex due to the strong nonlinearity, bistability, and potential for off-axis motions. To advance the state of the art, this research seeks to uncover the deployment dynamics of Kresling structures with various system geometries and operating strategies. A full, six-degree-of-freedom model is developed and employed to provide insight into the axial and off-axis dynamic responses, revealing that the variation of key geometric parameters may lead to regions with qualitatively distinct mechanical responses. Results illustrate the sensitivity of dynamic deployment to changes in initial condition and small variations in geometric design. Further, analyses show how certain geometries and configurations affect the stiffness of various axial and off-axis deformation modes, offering guidance on the design of systems that deploy effectively while mitigating the effects of off-axis disturbances. Overall, the research outcomes suggest the strong potential of Kresling-based designs for deployable systems with robust and tunable performance.

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