The word tensegrity is an artificial word and it combines the words “tension” and “integrity.” This word was coined several decades ago. These structures are usually defined as planar or spatial trusses with a discontinuous set of members under compression, inside a continuous network of members under tension. In this article, we are studying only the behavior of tensegrity structures.
IntroductionĬable networks and tensegrity structures are different from conventional structures, such as spatial steel frames or space steel trusses, in that they are lightweight structures with members which transmit only tension (cables and strings) or elements which transmit compression (bars before buckling). Results obtained with the method compare favorably with those obtained by the Dynamic Relaxation Method or the Adaptive Force Density Method. It is tested on both 2D and 3D tensegrity structures. This method requires a relatively small number of computations, it is direct (there is no iteration procedure and calculation of auxiliary parameters) and is characterized by its simplicity. For both statically determinate and indeterminate tensegrity structures, the properties of the resulting linear system of equations give an indication about structural stability. The partial derivatives, which appear in the additional equations, are numerically replaced by statically acceptable internal forces which are applied on the structure. The redundancies are treated by employing Castigliano’s second theorem, which gives the additional required equations. It belongs to the class of equilibrium equations methods with force densities. A general approach is presented to analyze tensegrity structures by examining their equilibrium.
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