Static Analysis of Tensegrity Structures-Reference-Cited by-同舟云学术

Static Analysis of Tensegrity Structures

Published:2005-03-01 Issue:2 Volume:127 Page:257-268
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Crane Carl D.¹,Duffy Joseph¹,Correa Julio C.²

Affiliation:

1. Department of Mechanical and Aeronautical Engineering, P.O. Box 116300, Gainesville, FL 32611

2. Department of Mechanical Engineering, Universidad Pontificia Bolivariana, P.O. Box 56006, Medellin, Colombia

Abstract

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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/127/2/257/5921851/257_1.pdf

Reference11 articles.

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2. Tobie, R. S., 1976, “A Report on an Inquiry into the Existence, Formation and Representation of Tensile Structures,” Master of Industrial Design thesis, Pratt Institute, NY.

3. Kenner, H., 1976, Geodesic Math and How to Use It, University of California Press, Berkeley, CA.

4. Stern, I. P., 1999, “Development of Design Equations for Self-Deployable N-Strut Tensegrity Systems,” Master of Science thesis, University of Florida, Gainesville, FL.

5. Knight, B. F., 2000, “Deployable Antenna Kinematics using Tensegrity Structure Design,” Ph.D. thesis, University of Florida, Gainesville, FL.

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