| Title |
Dynamic Analysis for Unstable Truss Structures by Reduced Dimension Technique |
| Keywords |
inextensional deformation ; dynamic analysis ; generalized inverse matrix ; reduced dimension ; RREF |
| Abstract |
Generally, a structural system with large inextensional deformations, or in other words, non-strained deformation is called as 'Unstable Structure'. Truss-linked structures, cable structures, membrane structures and movable structures as foldable space structures etc. are included in this category. In this paper, a dynamic analysis method for unstable structural systems is presented. Governing equations for dynamic analysis of unstable truss structures with inextensional displacements are derived. Because of singularity of inverse matrixin in practical analysis of unstable structure, the generalized inverse matrix is introduced to resolve the singular problem. Also, the RREF technique is used to get the inextensional displacement mode. Two unstable truss structurs are analyzed by using presented method. Damping is not considered. From the given results, it is known that proposed method is useful to figure out the dynamic behavior of unstable truss structures. |