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 inve...

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Bibliographic Details
Published in:International journal of solids and structures 2009-03, Vol.46 (6), p.1317-1325
Main Authors: Kovács, F., Tarnai, T.
Format: Article
Language:English
Subjects:
Mechanism
Prestress stability
Spherical coordinates
Spherical moment
Spherical truss
Tangent stiffness
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Summary: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.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2008.10.031