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.
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e-mail: ccrane@ufl.edu
e-mail: jccorrea@upb.edu.co
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March 2005
Article
Static Analysis of Tensegrity Structures
Carl D. Crane, III,
e-mail: ccrane@ufl.edu
Carl D. Crane, III
Department of Mechanical and Aeronautical Engineering, P.O. Box 116300, Gainesville, FL 32611
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Joseph Duffy,
Joseph Duffy
Department of Mechanical and Aeronautical Engineering, P.O. Box 116300, Gainesville, FL 32611
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Julio C. Correa
e-mail: jccorrea@upb.edu.co
Julio C. Correa
Department of Mechanical Engineering, Universidad Pontificia Bolivariana, P.O. Box 56006, Medellin, Colombia
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Carl D. Crane, III
Department of Mechanical and Aeronautical Engineering, P.O. Box 116300, Gainesville, FL 32611
e-mail: ccrane@ufl.edu
Joseph Duffy
Department of Mechanical and Aeronautical Engineering, P.O. Box 116300, Gainesville, FL 32611
Julio C. Correa
Department of Mechanical Engineering, Universidad Pontificia Bolivariana, P.O. Box 56006, Medellin, Colombia
e-mail: jccorrea@upb.edu.co
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.
J. Mech. Des. Mar 2005, 127(2): 257-268 (12 pages)
Published Online: March 25, 2005
Article history
Received:
June 9, 2003
Revised:
March 17, 2004
Online:
March 25, 2005
Citation
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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