Folding simulation of TRAC longerons via unified one-dimensional finite elements

Folding simulation of TRAC longerons via unified one-dimensional finite elements

Riccardo Augello, Erasmo Carrera, Alfonso Pagani, Sergio Pellegrino

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Abstract. This paper proposes a simulation of the folding phase of TRAC deployable booms using refined one-dimensional finite elements in the framework of the Carrera Unified Formulation. The mathematical model involves standard beam finite elements placed along the length of the longeron, and Lagrange polynomials as expansion functions for the cross-sectional domain. The nonlinear governing equations are written recalling the principle of virtual work, and they are linearized using the Newton-Raphson scheme. The contact between the two flanges is simulated with linear spring which activate when pre-defined node pairs approach under a fixed tolerance. Two simulations are carried out, including or not the contact behavior, respectively. The results highlight the capability of the proposed model to deal with large displacements and contact between the ultra-thin flanges of the structure.

Deployable Booms, TRAC longerons, Carrera Unified Formulation, Contact Mechanics, Nonlinear Analysis

Published online 11/1/2023, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Riccardo Augello, Erasmo Carrera, Alfonso Pagani, Sergio Pellegrino, Folding simulation of TRAC longerons via unified one-dimensional finite elements, Materials Research Proceedings, Vol. 37, pp 357-362, 2023


The article was published as article 79 of the book Aeronautics and Astronautics

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[1] L. Blanchard. A tape-spring hexapod for deployable telescopes: Dynamics. In ESA Special Publication, pp. 1-5, 2006.
[2] F. Royer and S. Pellegrino. Ultralight ladder-type coilable space structures. In 2018 AIAA Spacecraft Structures Conference, pp. 1-14, 2018.
[3] T.W. Murphey and J. Banik, Triangular rollable and collapsible boom, US Patent 7,895,795, 2011.
[4] D.S. Crouch, Mars viking surface sampler subsystem, 25th Conference on Remote Systems Technology, pp. 142–151, 1977.
[5] F. Roybal, J. Banik, and T.W. Murphey, Development of an elastically deployable boom for tensioned planar structures, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, USA, pp. 1–14, 2007.
[6] M.W. Thomson, Deployable and retractable telescoping tubular structure development, The 28th Aerospace Mechanisms Symposium, Cleveland, Ohio, USA, 1994.
[7] E. Carrera, M. Cinefra, M. Petrolo, and E. Zappino, Finite Element Analysis of Structures through Unified Formulation, Wiley, Chichester, West Sussex, UK, 2014.
[9] N.H. Reddy, and S. Pellegrino, 2023. Dynamics of the Caltech SSPP deployable structures: structure–mechanism interaction and deployment envelope.
[10] A. Pagani, and E. Carrera, 2018. Unified formulation of geometrically nonlinear refined beam theories. Mechanics of Advanced Materials and Structures, 25(1), pp.15-31.
[11] E. Carrera, A. Pagani, and R. Augello, 2020. Evaluation of geometrically nonlinear effects due to large cross-sectional deformations of compact and shell-like structures. Mechanics of Advanced Materials and Structures, 27(14), pp.1269-1277.
[12] A. Pagani, and E. Carrera, 2017. Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation. Composite Structures, 170, pp.40-52.