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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2022 Volume 18, Number 5, Pages 885–898 (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

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.

MSC: 70Q05

Received: 11.05.2021
Accepted: 22.12.2022

Language: english

DOI: 10.20537/nd221225



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