Numerical simulation of deployable ultra-thin composite shell structures for space applications and comparison with experiments

References

• M. Leipold, H. Runge, and C. Sickinger, Large SAR membrane antennas with lightweight deployable booms, 28th ESA Antenna Workshop on Space Antenna Systems and Technologies, ESA/ESTEC, Noordwijk, Netherlands, pp. 1–8, 2005.
   Google Scholar
• L. Blanchard, A tape-spring hexapod for deployable telescopes: Dynamics, ESA Special Publication, The Netherlands, pp. 1–5, 2006.
   Google Scholar
• D. Campbell, R. Barrett, M. S. Lake, L. Adams, E. Abramson, M. R. Scherbarthn, J. S. Welsh, G. Freebury, N. Beidleman and J. Abbot, Development of a novel, passively deployed roll-out solar array, 2006 IEEE Aerospace Conference, Big Sky, MT, USA, pp. 1–9, 2006.
   Google Scholar
• B. Hoang, S. White, B. Spence, and S. Kiefer, Commercialization of deployable space systems’ roll-out solar array (ROSA) technology for space systems loral (SSL) solar arrays, 2016 IEEE Aerospace Conference, Big Sky, MT, USA, pp. 1–12, 2016. DOI: 10.1109/AERO.2016.7500723.
   Google Scholar
• M. Leipold, M. Eiden, C.E. Garner, L. Herbeck, D. Kassing, T. Niederstadt, T. Krüger, G. Pagel, M. Rezazad, H. Rozemeijer and W. Seboldt, Solar sail technology development and demonstration, Acta Astronaut. (UK)., vol. 52, no. 2–6, pp. 317–326, 2003. DOI: 10.1016/S0094-5765(02)00171-6.
   Web of Science ®Google Scholar
• J. Banik and T.W. Murphey, Performance validation of the triangular rollable and collapsible mast, 24th Annual AIAA/USU Conference on Small Satellites, Logan, UT, US, pp. 1–8, 2010.
   Google Scholar
• F. Royer and S. Pellegrino, Ultralight ladder-type coilable space structures, 2018 AIAA Spacecraft Structures Conference, Kissimmee, Florida, USA, pp. 1–14, 2018. DOI: 10.2514/6.2018-1200.
   Google Scholar
• F.P.J. Rimrott, Storable tubular extendible member: a unique machine element, Mach Des., vol. 37, no. 28, pp. 156–165, 1965.
   Google Scholar
• C. Hazelton, K. Gall, E. Abrahamson, M. Lake, and R. Denis, Development of a prototype elastic memory composite stem for large space structures, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Norfolk, Virginia, USA, 2003. DOI: 10.2514/6.2003-1977.
   Google Scholar
• K. Higuchi, K. Watanabe, A. Watanabe, H. Tsunoda, and H. Yamakawa, Design and evaluation of an ultra-light extendible mast as an inflatable structure, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 14th AIAA/ASME/AHS Adaptive Structures Conference 7th, Newport, Rhode Island, US, 2006. DOI: 10.2514/6.2006-1809.
   Google Scholar
• D.S. Crouch, Mars viking surface sampler subsystem, 25th Conference on Remote Systems Technology, pp. 142–151, 1977.
   Google Scholar
• M.A. Aguirre-Martinez, R. Bureo-Dacal, F. Del Campo, and M. Fuentes, The ctm family of masts and the ctm engineering model, 3rd European Space Mechanisms & Tribology Symposium, Madrid, Spain, 1987.
   Google Scholar
• T.W. Murphey and J. Banik, Triangular rollable and collapsible boom, US Patent 7,895,795, 2011.
   Google Scholar
• 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. DOI: 10.2514/6.2007-1838.
   Google Scholar
• M.W. Thomson, Deployable and retractable telescoping tubular structure development, The 28th Aerospace Mechanisms Symposium, Cleveland, Ohio, USA, 1994.
   Google Scholar
• C. Biddy and T. Svitek, Lightsail-1 solar sail design and qualification, 41st Aerospace Mechanisms Symposium, Pasadena, California, USA, pp. 451–463, 2012.
   Google Scholar
• B. Betts, D. A. Spencer, B. Nye, R. Munakata, J. M. Bellardo, S. D. Wong, A. Diaz, R. W. Ridenoure, B. A. Plante, J. D. Foley and J. Vaughn, 2: Controlled solar sailing using a cubesat, 4th International Symposium on Solar Sailing, Kyoto, Japan, pp. 1–7, 2017.
   Google Scholar
• M. Whorton, A. Heaton, R. Pinson, G. Laue, and C. Adams, Nanosail-d: the first flight demonstration of solar sails for nanosatellites, 22nd Annual AIAA/USU Conference on Small Satellites, Logan, Utah, USA, pp. 1–6, 2008.
   Google Scholar
• L. Johnson, M. Whorton, A. Heaton, R. Pinson, G. Laue, and C. Adams, Nanosail-d: A solar sail demonstration mission, Acta Astronaut. (UK)., vol. 68, no. 5–6, pp. 571–575, 2011. DOI: 10.1016/j.actaastro.2010.02.008.
   Web of Science ®Google Scholar
• O.R. Stohlman and E. Loper, Thermal deformation of very slender TRAC booms, 3rd AIAA Spacecraft Structures Conference, San Diego, California, USA, pp. 1–15, 2016. DOI: 10.2514/6.2016-1469.
   Google Scholar
• G. Pica, L. Ciofaniello, S. Mattei, M.R. Santovito, and R. Gardi, High-resolution deployable telescope for satellite applications, Sensors, Systems, and Next-Generation Satellites VII, vol. 5234, pp. 531–538, 2004.
   Google Scholar
• C.Y. Lai and S. Pellegrino, Design and Testing of a 1.5 m Offset CRTS Demonstrator, Department of Engineering, University of Cambridge, United Kingdom, 2001.
   Google Scholar
• K.A. Seffen and S. Pellegrino, Deployment of a Rigid Panel by Tape-Springs, Department of Engineering, University of Cambridge, United Kingdom, 1997.
   Google Scholar
• D.A. Galletly and S.D. Guest, Bistable composite slit tubes. I. A beam model, Int. J. Solids Struct., vol. 41, no. 16–17, pp. 4517–4533, 2004. DOI: 10.1016/j.ijsolstr.2004.02.036.
   Web of Science ®Google Scholar
• E. Corona and M.S. Ellison, Plastic buckling of t-beams under pure bending, J. Eng. Mech., vol. 123, no. 5, pp. 466–474, 1997. DOI: 10.1061/(ASCE)0733-9399(1997)123:5(466).
   Web of Science ®Google Scholar
• T.W. Murphey, D. Turse, and L. Adams, TRAC boom structural mechanics, 4th AIAA Spacecraft Structures Conference, Grapevine, Texas, USA, pp. 1–13, 2017. DOI: 10.2514/6.2017-0171.
   Google Scholar
• C. Leclerc, L.L. Wilson, M.A. Bessa, and S. Pellegrino, Characterization of ultra-thin composite triangular rollable and collapsible booms, 4th AIAA Spacecraft Structures Conference, Grapevine, Texas, USA, pp. 1–15, 2017. DOI: 10.2514/6.2017-0172.
   Google Scholar
• C. Leclerc, A. Pedivellano, and S. Pellegrino, Stress concentration and material failure during coiling of ultra-thin TRAC booms, 2018 AIAA Spacecraft Structures Conference, Kissimmee, Florida, USA, pp. 1–16, 2018. DOI: 10.2514/6.2018-0690.
   Google Scholar
• K. Cox and K.A. Medina, Scalability of triangular rollable and collapsible booms, AIAA Scitech 2019 Forum San Diego, California, USA, pp. 1–20, 2019. DOI: 10.2514/6.2019-2026.
   Google Scholar
• M.A. Bessa and Se Pellegrino, Design of ultra-thin composite deployable shell structures through machine learning. IASS Annual Symposia, pp. 1–8, Hamburg, Germany, 2017.
   Google Scholar
• A. Pagani, E. Carrera, and R. Augello, Evaluation of various geometrical nonlinearities in the response of beams and shells, AIAA J., vol. 57, no. 8, pp. 3524–3533, 2019. DOI: 10.2514/1.J057877.
   Google Scholar
• E. Carrera, G. Giunta, and M. Petrolo, Beam Structures: Classical and Advanced Theories, John Wiley & Sons, United States, 2011.
   Google Scholar
• E. Carrera, M. Cinefra, M. Petrolo, and E. Zappino, Finite Element Analysis of Structures through Unified Formulation, Wiley, Chichester, West Sussex, UK, 2014.
   Google Scholar
• A. Pagani and E. Carrera, Unified formulation of geometrically nonlinear refined beam theories, Mech. Adv. Mater. Struct., vol. 25, no. 1, pp. 15–31, 2018. DOI: 10.1080/15376494.2016.1232458.
   Web of Science ®Google Scholar
• A. Pagani and E. Carrera, Large-deflection and post-buckling analyses of laminated composite beams by carrera unified formulation, Compos. Struct., vol. 170, pp. 40–52, 2017. DOI: 10.1016/j.compstruct.2017.03.008.
   Web of Science ®Google Scholar
• A. Pagani, E. Daneshkhah, X. Xu, and E. Carrera, Evaluation of geometrically nonlinear terms in the large-deflection and post-buckling analysis of isotropic rectangular plates, Int. J. Non. Linear Mech., vol. 121, pp. 103461, 2020. DOI: 10.1016/j.ijnonlinmec.2020.103461.
   Web of Science ®Google Scholar
• B. Wu, A. Pagani, W.Q. Chen, and E. Carrera, Geometrically nonlinear refined shell theories by carrera unified formulation, Mech. Adv. Mater. Struct., vol. 28, no. 16, pp. 1721–1721, 2021. DOI: 10.1080/15376494.2019.1702237.
   Web of Science ®Google Scholar
• E. Carrera, A. Pagani, R. Augello, and B. Wu, Popular benchmarks of nonlinear shell analysis solved by 1D and 2D cuf-based finite elements, Mech. Adv. Mater. Struct., vol. 27, no. 13, pp. 1098–1109, 2020. DOI: 10.1080/15376494.2020.1728450.
   Web of Science ®Google Scholar
• A. Pagani, E. Carrera, A. G. de Miguel, A. Hasanyan, S. Pellegrino, H. R. Narravula, E. Zappino, Efficient analysis of geometrically nonlinear deployable thin shell structures using Carrera unified formulation, 70th International Astronautical Congress (IAC), Washington D.C., USA, 2019.
   Google Scholar
• A. Pagani, E. Carrera, A. Hasanyan, and S. Pellegrino, Advanced simulation and testing of composite TRAC longerons, 71st International Astronautical Congress (IAC), IAC CyberSpace Edition, 2020.
   Google Scholar
• E. Carrera, Evaluation of layerwise mixed theories for laminated plates analysis, AIAA J., vol. 36, no. 5, pp. 830–839, 1998. DOI: 10.2514/2.444.
   Google Scholar
• A. Pagani, E. Carrera, R. Augello, and D. Scano, Use of lagrange polynomials to build refined theories for laminated beams, plates and shells, Compos. Struct., vol. 276, pp. 114505, 2021. DOI: 10.1016/j.compstruct.2021.114505.
   Web of Science ®Google Scholar
• K.J. Bathe, Finite Element Procedure, Prentice Hall, Upper Saddle River, New Jersey, 1996.
   Google Scholar
• O.O. Ochoa and J.N. Reddy, Finite Element Analysis of Composite Laminates, Springer, Germany, pp. 37–109, 1992.
   Google Scholar
• E. Carrera, A. Pagani, and R. Augello, Evaluation of geometrically nonlinear effects due to large cross-sectional deformations of compact and shell-like structures, Mech. Adv. Mater. Struct., vol. 27, no. 14, pp. 1269–1269, 2020. DOI: 10.1080/15376494.2018.1507063.
   Web of Science ®Google Scholar
• E. Carrera, A study on arc-length-type methods and their operation failures illustrated by a simple model, Comput Struct., vol. 50, no. 2, pp. 217–229, 1994. DOI: 10.1016/0045-7949(94)90297-6.
   Web of Science ®Google Scholar
• M.A. Crisfield, A fast incremental/iterative solution procedure that handles snap-through. Computational Methods in Nonlinear Structural and Solid Mechanics, Elsevier, Amsterdam, Netherlands, 1981.
   Google Scholar
• M.A. Crisfield, An arc-length method including line searches and accelerations, Int. J. Numer. Meth. Engng., vol. 19, no. 9, pp. 1269–1289, 1983. DOI: 10.1002/nme.1620190902.
   Web of Science ®Google Scholar
• C. Leclerc and S. Pellegrino, Nonlinear elastic buckling of ultra-thin coilable booms, Int. J. Solids Struct., vol. 203, pp. 46–56, 2020. DOI: 10.1016/j.ijsolstr.2020.06.042.
   Web of Science ®Google Scholar
• A. Fischer, Bending Instabilities of Thin-Walled Transversely Curved Metallic Strips, University of Cambridge, Department of Engineering, England, 1995.
   Google Scholar