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J. Comput. Sci. Eng.
Vol. 63 (2023) 1-29 |
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Dynamic simulation of spatially deployable structures based on Lie group modeling |
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Wensong Liang, Yuan Yue, Yang Xue, Jieyu Ding |
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J. Comput. Sci. Eng. 63(2023) 1-22—Published 30 November 2023 |
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Abstract: Aiming at spatially deployable structures in multi-body systems, the modeling of spatially deployable structures based on Lie group method is studied. Runge-Kutta method is used to model and calculate the typical deployable structures, and the dynamic simulation results with high accuracy are obtained. The Lie group method maintains the orthogonality of the rotation matrix while maintaining the constraint equation, that is, the system structure.
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Keywords:Dynamics of multibody system; Developable structures; Differential-algebraic equations; Lie groups
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Dynamic simulation of deployable structures based on discrete variational method
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Lingfeng Kong, Jialiang Ma, Yang Xue, Jieyu Ding |
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J. Comput. Sci. Eng. 63(2023) 23-29—Published 30 December 2023 |
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Abstract: The expansion process of negative Poisson's ratio structures was analyzed using multi body dynamics methods. A multi body system dynamics model was established using Cartesian coordinates for the deployable structure, and the dynamic equations of the expansion process were obtained. The discrete variational method of multi body system dynamics based on center of gravity interpolation was applied for numerical solution. The experimental results verified that the discrete variational method has the characteristics of high accuracy and accurately maintaining the constraint equation when the step size is large.
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Keywords:Deployable structure; Multibody system; Dynamic simulation; Discrete variational method
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