Two problems are addressed in this paper. First, the mathematical model to perform the static analysis of an antiprism tensegrity structure subjected to a wide variety of external loads is presented. The virtual work approach is used to deduce the equilibrium equations and a method based on Newton’s Third Law is used to verify the numerical results. Two numerical examples are provided to demonstrate the use of the mathematical model, as well as the verification method. The second problem deals with the development of a mathematical model to perform the static analysis of a prestressed antiprism tensegrity structure subjected to an arbitrary length reduction of its connecting ties. Again, a virtual work approach is used to deduce the equilibrium equations and the numerical results are verified using a Newtonian approach. One example is provided to illustrate the mathematical model.
Static Analysis of Tensegrity Structures
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 9, 2003; revised March 17, 2004. Associate Editor: A. A. Shabana.
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Crane , C. D., III, Duffy, J., and Correa, J. C. (March 25, 2005). "Static Analysis of Tensegrity Structures ." ASME. J. Mech. Des. March 2005; 127(2): 257–268. https://doi.org/10.1115/1.1804194
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