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Analytical and numerical study of the buckling of planar linear array deployable structures based on scissor-like element under its own weight

机译：基于剪状元件自重的平面线性阵列可展开结构屈曲的分析和数值研究

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摘要

This paper aims at investigating the buckling load of fully deployed linear array deploy-able structure based on scissor-like element (SLE) under its own weight. The deployable structure has been widely researched both in geometric configurations and structural dynamic characteristics. However, when the number of elements or degree of deployment exceeds the predetermined range, even if there is no external load, deployable structure will automatically collapse under its own weight. To address this issue, this paper derives a new stability model based on linear elastic analysis and energy method to compute the buckling load caused by its own weight for avoiding the structural instability, which can be applied to a linear array deployable structure with n SLEs. In the process of calculation, the first SLE is taken for mechanical analysis and the results are extended to any unit. In the sequel of this process, the scissor deployable structure is equivalent to a uniform solid column and its buckling condition under self-weight is obtained based on the principle of potential energy. Also, the effect of various parameters that affect the instability of the structure, such as the number of elements, bar length and degree of deployment is investigated, and the results of the theoretical analysis are verified through a comparison with the simulation results in ANSYS, which show that the new stability model proposed here can predict the buckling load of scissor deployable structure.
机译：本文旨在研究在自重作用下，基于剪刀状元件（SLE）的完全展开的线性阵列可展开结构的屈曲载荷。可展开结构在几何构型和结构动力特性方面都得到了广泛的研究。但是，当元件数量或展开程度超过预定范围时，即使没有外部负载，可展开结构也会在其自重的作用下自动塌陷。为了解决这个问题，本文提出了一种基于线性弹性分析和能量方法的新的稳定性模型，以计算自重引起的屈曲载荷，避免结构失稳，该模型可以应用于具有n个SLE的线性阵列可展开结构。在计算过程中，将采用第一个SLE进行机械分析，并将结果扩展到任何单位。在此过程的后续过程中，剪刀式可展开结构等效于均匀的实心圆柱，并根据势能原理获得了自重下的屈曲条件。此外，还研究了影响结构不稳定性的各种参数的影响，例如元素数量，钢筋长度和展开程度，并通过与ANSYS中的仿真结果进行比较，验证了理论分析的结果，表明本文提出的新稳定性模型可以预测剪式可展开结构的屈曲载荷。

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