Abstract Pre-assembled scissor structures can be transformed from a compact bundle of elements to a fully deployed configuration, offering a considerable volume expansion. Intended geometrical incompatibilities during transformation can be introduced as a design strategy to obtain bistability, which allows instantaneously achieving some structural stability in the deployed state. Because of these incompatibilities, some specific members bend during transformation, resulting in a controlled potentially tunable snap-through behaviour. Geometric design methodologies were proposed in the literature to obtain a compatible geometry (i.e. with all of the beams straight) in the folded and the deployed configurations. However, most of these approaches do not consider finite hub sizes or introduce extra incompatibilities in the geometry by adding hub legs. In this contribution, deployability conditions are derived taking the finite hub size, i.e. the spacing between the connections of the different beams to the hub, into account to make triangulated bistable scissor modules fully geometrically compatible in the folded and the deployed configuration.

中文翻译：

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考虑有限轮毂尺寸的三角双稳态剪刀结构几何设计

摘要 预组装的剪刀式结构可以从紧凑的元件束转变为完全展开的配置，从而提供相当大的体积扩展。可以引入转换过程中预期的几何不兼容性作为获得双稳态的设计策略，这允许在部署状态下立即实现一些结构稳定性。由于这些不兼容性，一些特定的成员在转换过程中会弯曲，从而导致受控的潜在可调快速通过行为。文献中提出了几何设计方法，以在折叠和展开配置中获得兼容的几何形状（即所有梁都是直的）。然而，这些方法中的大多数都没有考虑有限的轮毂尺寸或通过添加轮毂腿在几何中引入额外的不兼容性。