Journal
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
Volume 2, Issue 5, Pages 857-882Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/jomms.2007.2.857
Keywords
tensegrity structures; stability analysis; rank-deficiency manifold; marching processes; limit placements
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We give an algorithm for solving the form-finding problem, that is, for finding stable placements of a given tensegrity structure. The method starts with a known stable placement and alters edge lengths in a way that preserves the equilibrium equations. We then characterize the manifold to which classical tensegrity systems belong, which gives insight into the form-finding process. After describing several special cases, we show the results of a successful test of our algorithm on a large system.
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