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Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation

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Abstract

With the advantages of lightweight and high stowing efficiency, the origami membrane has a broad application prospect in the space structure. As an improvement of the existing deployment simulations, the behavior of crease is considered and both static and dynamic simulation are conducted in this paper. The origami membrane is modeled as a flexible multibody system and its deployment is simulated based on the absolute nodal coordinate formulation. The nonlinear effect of the crease to resist deployment is integrated into the multibody system via the virtual work principle. The facet is modeled by the thin shell element and the crease is constructed as a nonlinear torsional spring with specific position and gradient constraints. The behavior of the crease is parameterized based on the experimental data. The modeling approach is verified by the numerical/experimental reference of the Z-folding structure in the existing literature. For the multi-crease origami membrane model considering the crease effect, a form-finding method to obtain the initial configuration of the flexible origami is proposed based on the principle of minimum potential energy. The deployment of the classical Miura-ori unit membrane structure is analyzed. The magnitude of driving force is estimated based on the force analysis of rigid deployment. Based on the simulation result of flexible deployment, the driving force is planned to achieve a stable deployment with a constant increase speed in the deployment ratio. This work is expected to provide a reference for the design of space membrane structure, the estimation of driving force, and optimizing the deployment strategy of an origami membrane.

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Availability of data and material

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The research is supported by National Natural Science Foundation of China (Grant 12002253). The authors would like to thank Jiayue Tao from Clemson University for the constructive discussion on the membrane deployment issues.

Funding

This work is supported by the National Natural Science Foundation of China (Grant 12002253).

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, West Xianning Road 28, Xi’an, 710049, China

    Tengfei Wang , Ziyuan Wu & Minglong Xu

  2. School of Mechanical Engineering, Shenyang University of Technology, No. 111, Shenliao West Road, Shenyang, China

    Jia Wang

  3. School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, No. 13, Yanta Road, Xi’an, 710055, China

    Peng Lan

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  1. Tengfei Wang
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  2. Ziyuan Wu
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Correspondence to Tengfei Wang .

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Wang , T., Wu, Z., Wang, J. et al. Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation. Nonlinear Dyn 111, 2521–2535 (2023). https://doi.org/10.1007/s11071-022-07952-z

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  • DOI: https://doi.org/10.1007/s11071-022-07952-z

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