Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 54, Issue -, Pages 41-49Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2013.09.010
Keywords
Tensegrity; Form-finding; Super-stability; Nelder-Mead simplex method
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A new computational framework is proposed for the form-finding and design of tensegrity structures with or without super-stability. The form-finding of tensegrities is formulated as two unconstrained minimisation problems where their objective functions are defined based on eigenvalues of a modified force density matrix. The Nelder-Mead simplex method is then used to solve the minimisation problems. Furthermore, another efficient method is suggested for the interactive form-finding and design of tensegrities with geometrical and force constraints. Examples of the form-finding of tensegrities are presented and the results obtained are compared and contrasted with those analytical results documented in the literature, to verify the accuracy and efficiency of the developed methods. (C) 2013 Elsevier Ltd. All rights reserved.
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