Abstract—

A spatial construction, which looks like a bellows (or sylphon), composed of flat shells in the form of a regular truncated cone and circular plates hinged inside the bases of the cones, is proposed. The material of shells and plates is elastically orthotropic with radial and tangential isotropic axes. The structure is subjected to longitudinal axial compression, which creates an axisymmetric plane stress state in all structural elements. As a result of solving the problems of the theory of elasticity via quadratures for these structural elements, the limiting value of the external compressive force, until the action of which the bellows maintains a stable equilibrium, is calculated and a formula for a correctly substantiated calculation of its stress-strain state is derived. A distinctive feature of the considered design is the absence of torsion, bending, and eccentric normal force in the cross section of any of its elements.

中文翻译：

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波纹管式（SYLPHON）结构

摘要-

提出了一种空间结构，该结构看起来像风箱（或波纹管），由规则的截头圆锥形的扁平壳和铰接在圆锥形基座内部的圆形板组成。壳和板的材料是弹性正交各向异性的，具有径向和切向各向同性的轴。该结构受到纵向轴向压缩，这会在所有结构元件中产生轴对称的平面应力状态。通过正交求出这些结构元件的弹性理论的问题的结果，计算了外部压缩力的极限值，直到波纹管的作用保持稳定的平衡为止，并计算出一个公式，以进行正确的计算推导其应力-应变状态。经过深思熟虑的设计的一个显着特征是没有扭转，