The stability of low-pitched von Mises trusses with horizontal elastic supports

Abstract. Purpose. The work’s aim is to study the horizontal supports stiffness impact, which simulate conditions for supporting domes upper tier on von Mises trusses' stability. Methodology. A three-hinged truss' deformed scheme under applying a concentrated vertical load in ridge joint was considered. An analytical method used obtain generalized equation stability criterion determine critical depending design system's parameters such as rods' inclination angle, stiffness, and elastic stiffness. two transcendental equations' system dependence of displacements taking into account compression obtained. Such solution through parameter - variable angle tangent, made it possible one symmetric supports' displacement. numerical studies were carried out structure's geometry. Findings. expression structure, reduced rod’s rods’ supports, low-pitched double-rod nonlinear deformation nature confirmed. It found that with two-rod systems’ joint's snap-through effect takes place. relative value decreases along decrease Scientific innovation. On theoretical basis trusses systems' models dome annular elements determines general lower uppermost structural Practical value. obtained makes rational ensure