Two-dimensional analysis of bar-and-joint assemblies on a sphere: Equilibrium, compatibility and stiffness

This paper discusses a 2D truss formulation with spherical angular variables for bar-and-joint assemblies existing in 3D on the surface of a sphere. Based on the principle of potential energy, coupled problems of equilibrium and compatibility, as well as of stiffness and prestress stability are investigated. Finally, the results are illustrated by numerical examples.