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Mobility analysis of planar radially foldable bar structures

机译:平面径向可折叠杆结构的运动性分析

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This paper studies the planar radially foldable bar structures consisting of more generalized angulated elements (GAEs) that contain intermediate parallelograms. Since every general GAE subtends a constant angle in motion, the mobility of every GAE was discussed. Firstly, the kinematic equation of the system was obtained based on the consistency of the intermediate nodal coordinates. Computing the rank of the kinematic matrix of the equation, the mobility of general type Ⅰ and Ⅱ GAEs has been studied in detail. Furthermore, the mobility of the general GAEs bounded by an arbitrary triangle (not limited to isosceles or similar triangles) was discussed. The required condition throughout the motion of the system was given.
机译:本文研究了平面径向可折叠钢筋结构,该结构由更广义的包含中间平行四边形的角单元(GAE)组成。由于每个通用GAE在运动中都具有恒定的角度,因此讨论了每个GAE的移动性。首先,基于中间节点坐标的一致性,获得了系统的运动方程。通过计算方程的运动矩阵的秩,研究了一般Ⅰ型和Ⅱ型GAE的迁移率。此外,讨论了由任意三角形(不限于等腰三角形或类似三角形)界定的一般GAE的迁移率。给出了整个系统运动所需的条件。

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