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Russian Journal of Nonlinear Dynamics, 2022, Volume 18, Number 5, Pages 885–898
DOI: https://doi.org/10.20537/nd221225
(Mi nd831)
 

Nonlinear engineering and robotics

Sparse Node-Distance Coordinate Representation for Tensegrity Structures

S. I. Savin, R. R. Khusainov

Innopolis University, ul. Universitetskaya 1, Innopolis, 420500 Russia
References:
Abstract: In this work, a nonminimal coordinate representation of tensegrity structures with explicit constraints is introduced. A method is proposed for representation of results on tensegrity structures in sparse models of generalized forces, providing advantages for code generation for symbolic or autodifferentiation derivation tasks, and giving diagonal linear models with constant inertia matrices, allowing one not only to simplify computations and matrix inversions, but also to lower the number of elements that need to be stored when the linear model is evaluated along a trajectory.
Keywords: tensegrity, dynamic model, nonminimal representation, linearized model.
Funding agency Grant number
Russian Science Foundation 19-79-10246
This research is supported by a grant of the Russian Science Foundation (project No. 19-79-10246).
Received: 11.05.2021
Accepted: 22.12.2022
Bibliographic databases:
Document Type: Article
MSC: 70Q05
Language: english
Citation: S. I. Savin, R. R. Khusainov, “Sparse Node-Distance Coordinate Representation for Tensegrity Structures”, Rus. J. Nonlin. Dyn., 18:5 (2022), 885–898
Citation in format AMSBIB
\Bibitem{SavKhu22}
\by S. I. Savin, R. R. Khusainov
\paper Sparse Node-Distance Coordinate Representation
for Tensegrity Structures
\jour Rus. J. Nonlin. Dyn.
\yr 2022
\vol 18
\issue 5
\pages 885--898
\mathnet{http://mi.mathnet.ru/nd831}
\crossref{https://doi.org/10.20537/nd221225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4527659}
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