Coiling and deploying dynamic optimization of a C-cross section thin-walled composite deployable boom

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INDUSTRIAL APPLICATION PAPER

Coiling and deploying dynamic optimization of a C-cross section thin-walled composite deployable boom Hui Yang 1 & Hongwei Guo 2

&

Rongqiang Liu 2 & Sicong Wang 2 & Yongbin Liu 1

Received: 24 April 2019 / Revised: 6 October 2019 / Accepted: 9 October 2019 # Springer-Verlag GmbH Germany, part of Springer Nature 2019

Abstract A C-cross section thin-walled composite deployable boom (C boom) can be flattened and coiled elastically. Furthermore, C boom can be deployed by releasing stored strain energy. Finite element (FE) models of C booms are constructed based on a nonlinear explicit dynamics analysis. The full simulation is divided into six consecutive steps: flattening, end-compacting, releasing, coiling, holding, and deploying around a hub. An optimal design method for the coiling and deploying of the C boom is presented based on the response surface method (RSM). Twenty-seven sample points are obtained by using a full-factorial design of experiment method. Surrogate models of the maximum moment and stress during the fully simulated process, including the mass of the C boom, are created by the RSM. The maximum moment and mass are set as objectives, and the maximum stress is set as a constraint to increase deploying statue stiffness and enhance use times. A multi-objective optimization design of the C boom is performed by sequential quadratic programming algorithm. Lastly, FE models for the optimal design are built to validate the accuracy of the optimization and the response surface results. Keywords Coiling . Deploying . Thin-walled composite . C boom . Optimization . RSM

1 Introduction Thin-walled composite deployable booms can be coiled and deployed by releasing the stored strain energy (Pellegrino 2014). The booms are lightweight with high package efficiency. These booms can be applied to support large planar, parabolic cylindrical and spherical deployable antenna, solar sail, and sunshade structures (Fernandez et al. 2011; Lappas et al. 2011). The C boom has a lower manufacturing cost and can deploy easily compared with the storable tubular extendable member and collapsible tube mast. The C boom was applied in a roll-out solar array (ROSA), and rolling and deploying experiments were performed on the prototype (Banik and Hausgen 2017). Responsible Editor: Palaniappan Ramu * Hongwei Guo [email protected] 1

State Key Laboratory of Robotics and System (HIT), Anhui University, Hefei 230601, China

2

State Key Laboratory of Robotics and System (HIT), Harbin Institute of Technology, Harbin 15001, China

The coiling and deploying of tape spring and composite thin-walled booms have been investigated (Mallikarachchi and Pellegrino 2014a, b), and the micromechanical behavior of two-ply weave laminates under small strains was investigated (Mallikarachchi 2019). The double-layer tape spring hinge and a hinge consisting of three single tape springs were investigated by using multi-objective optimization (Yang et al. 2015; Ye et al. 2017). An active-passive composited driving deployable len