A classical time integration method applied for solution of nonlinear equations of a double-layer tensegrity

The paper aims to investigate the nonlinear geometrical behavior of a tensegrity structure subject to dynamic loading in the time domain. The geometric nonlinearity is considered here with the aid of a simple set of equations, based on the Finite Element Method, but using nodal positions rather than...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering Vol. 35; no. 1; pp. 41 - 50
Main Authors: Greco, Marcelo, Ferreira, Ivone Passos, Barros, Felício Bruzzi
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer-Verlag 01.03.2013
Subjects:
Engineering
Mechanical Engineering
Technical Paper
Positional formulation
Time integration algorithm
Tensegrity structures
Dynamics
Nonlinear analysis
ISSN:1678-5878, 1806-3691
Online Access:Get full text
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Summary:The paper aims to investigate the nonlinear geometrical behavior of a tensegrity structure subject to dynamic loading in the time domain. The geometric nonlinearity is considered here with the aid of a simple set of equations, based on the Finite Element Method, but using nodal positions rather than nodal displacements as variables. The finite element strains are evaluated directly from the proposed position concept, using a coordinate system fixed in space. The performance of two transient direct integration algorithms was implemented, one explicit and another implicit, considering the eventual inclusion of a numerical damping in the positional formulation. The algorithmic numerical damping is especially interesting for analyses during long time periods or for unstable slender structures. The dynamical behavior of a double-layer tensegrity system is analyzed using the time integration algorithms developed in the paper. Results point to the importance of the numerical damping in the analysis and the mechanical behavior dependence of the initial strain level prescribed in the cables. The development of classical time integration schemes for the positional formulation is original and the application for the double-layer tensegrity proves the accuracy of the method.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-013-0009-y