Abstract

A calculation method for structures with large deformations and displacements, based on works by Bathe [7–9], is developed so as to determine the tangent stiffness matrix and the internal stress vector. The formulation is established for a `bar' element. Application of this method for tensegrity systems allowed the study of behaviour for a simple self-stressed system, the four-strut tensegrity system, in case of `traction, compression, flexion and torsion' loading. Except for compression, the structure is rigidified when the loads increase. Influence of the self-stress level on this behaviour is also evaluated. Secondly a structure, generated by assembly of several four-strut tensegrity systems, has been calculated only under traction, concentrated and distributed. The behaviour under uniformly distributed load can be related to the `isolate' cell behaviour, even if some difficulties appear, mainly because of boundary conditions and possible choices for common cables between two adjacent cells.

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