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A finite element for
form-finding and static analysis of tensegrity structures
Dario Gasparini, Katalin K. Klinka and Vinicius F. Arcaro |
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Vol. 6 (2011), No. 9-10, 1239–1254
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Abstract |
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This text describes a mathematical model for both form-finding and static analysis of tensegrity structures. A special line element that shows constant stress for any displacement of its nodes is used to define a prestressed equilibrium configuration. The form-finding and static analysis are formulated as an unconstrained nonlinear programming problem, where the objective function is the total potential energy and the displacements of the nodal points are the unknowns. Analytical solutions for tensegrity prisms are presented and compared with the numerical results of the proposed approach. A quasi-Newton method is used, which avoids the evaluation of the tangent stiffness matrix. The source and executable computer codes of the algorithm are available for download from the website of one of the authors. |
Keywords
cable, element, line, minimization, nonlinear,
optimization, tensegrity
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Milestones
Received: 4 August 2010
Revised: 10 January 2011
Accepted: 5 February 2011
Published: 15 January 2012
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Authors |
| Dario Gasparini | |
| Civil Engineering Department Case Western Reserve University 2182 Adelbert Road Cleveland, OH 44106-7201 United States |
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| Katalin K. Klinka | |
| Department of Structural
Engineering Budapest University of Technology and Economics 2 Bertalan Lajos Budapest H-1111 Hungary |
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| Vinicius F. Arcaro | |
| College of Civil Engineering University of Campinas Avenida Albert Einstein 951 Campinas, SP 13083-852 Brazil |
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| http://www.arcaro.org | |
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